Last update:
Wed Nov 8 11:53:30 MST 2023
G. W. Stewart On Scaled Projections and
Pseudo-Inverses . . . . . . . . . . . . 189--193
G. Tsaklidis and
P.-C. G. Vassiliou Infinite products of matrices with some
negative elements and row sums equal to
one . . . . . . . . . . . . . . . . . . 41--58
Jeffrey J. Hunter Parametric forms for generalized
inverses of Markovian kernels and their
applications . . . . . . . . . . . . . . 71--84
Nancy Flournoy Dependency in multivariate Markov chains 85--106
Alessandra Giovagnoli and
Mario Romanazzi A group majorization ordering for
correlation matrices . . . . . . . . . . 139--155
Jerzy K. Baksalary and
Jan Hauke A further algebraic version of Cochran's
theorem and matrix partial orderings . . 157--169
Jerzy K. Baksalary and
Kenneth Nordström and
George P. H. Styan Löwner-ordering antitonicity of
generalized inverses of Hermitian
matrices . . . . . . . . . . . . . . . . 171--182
J. Lauterbach and
P. Stahlecker Some properties of $ [{\rm
tr}({Q}^{2p})]^{1 / 2p} $ with
application to linear minimax estimation 301--325
Douglas P. Wiens Robust minimax designs for multiple
linear regression . . . . . . . . . . . 327--340
Jerzy K. Baksalary and
Simo Puntanen Characterizations of the best linear
unbiased estimator in the general
Gauss--Markov model with the use of
matrix partial orderings . . . . . . . . 363--370
Jerzy K. Baksalary and
Pawe\l R. Pordzik A note on comparing the unrestricted and
restricted least-squares estimators . . 371--378
Hans Joachim Werner On inequality constrained generalized
least-squares estimation . . . . . . . . 379--392
Jerzy K. Baksalary and
Thomas Mathew Rank invariance criterion and its
application to the unified theory of
least squares . . . . . . . . . . . . . 393--401
Douglas M. Hawkins and
Dan Bradu Application of the Moore--Penrose
inverse of a data matrix in multiple
regression . . . . . . . . . . . . . . . 403--425
A. J. Scott and
J. N. K. Rao and
D. Roland Thomas Weighted least-squares and
quasilikelihood estimation for
categorical data under singular models 427--447
Dietrich von Rosen A matrix formula for testing linear
hypotheses in linear models . . . . . . 457--461
Ching-Shui Cheng and
Ker-Chau Li Characterization of invariant spaces
under a symmetric real matrix and its
permutations . . . . . . . . . . . . . . 503--516
Chi Song Wong Extensions of $ {\rm tr}[({A}^{-1} -
{B}^{-1})({A} - {B})] \leq 0 $ for
covariance matrices $ {A}, {B} $ . . . . 517--529
Harold V. Henderson and
Shayle R. Searle Generalized dispersion matrices for
covariance structural analysis . . . . . 543--565
A. Shapiro and
M. W. Browne On the treatment of correlation
structures as covariance structures . . 567--587
H. Neudecker and
A. M. Wesselman The asymptotic variance matrix of the
sample correlation matrix . . . . . . . 589--599
Mara Lee McLaren Asymptotic results for decomposing a
likelihood-ratio statistic into separate
components . . . . . . . . . . . . . . . 601--616
R. Dahlhaus Approximations for the inverse of
Toeplitz matrices with applications to
stationary processes . . . . . . . . . . 27--40
Olaf Krafft and
Martin Schaefer Convergence of the powers of a circulant
stochastic matrix . . . . . . . . . . . 59--69
H. Nanda and
I. Olkin Matrix properties of an interbattery
factor analytic model . . . . . . . . . 617--630
Daniel E. Otero Extraction of $m$ th roots in matrix
rings over fields . . . . . . . . . . . 1--26
Harald K. Wimmer On the history of the Bezoutian and the
resultant matrix . . . . . . . . . . . . 27--34
Katarína Cechlárová Strong regularity of matrices in a
discrete bottleneck algebra . . . . . . 35--50
Juan-Enrique Martínez-Legaz and
Ivan Singer Lexicographical order, lexicographical
index, and linear operators . . . . . . 65--95
William C. Waterhouse The absolute-value estimate for
symmetric multilinear forms . . . . . . 97--105
Beatriz I. Sauber When a polynomial has exactly one
positive root and no roots in $ ( - 1,
0) $ . . . . . . . . . . . . . . . . . . 107--115
Robert A. Beezer A disrespectful polynomial . . . . . . . 139--146
Charles R. Johnson and
Peter Nylen Yamamoto's theorem for generalized
singular values . . . . . . . . . . . . 147--158
C. B. Soh Schur stability of convex combination of
matrices . . . . . . . . . . . . . . . . 159--168
Ray Redheffer and
Reinhard Redlinger The spectral radius and Liapunov's
theorem . . . . . . . . . . . . . . . . 169--180
Ronald L. Smith Bounds on the spectrum of nonnegative
matrices and certain $ {Z}$-matrices . . 13--28
Sui-Sun Cheng and
Tzon-Tzer Lu and
Shu Hei Wu Regular starlike domains of tridiagonal
matrices . . . . . . . . . . . . . . . . 29--54
William F. Trench A note on a Toeplitz inversion formula 55--61
F. Delebecque On the resolvent approach to the
spectral decomposition of a regular
matrix pencil . . . . . . . . . . . . . 63--75
Ludwig Elsner and
Daniel Hershkowitz and
Allan Pinkus Functional inequalities for spectral
radii of nonnegative matrices . . . . . 103--130
Achiya Dax A note on the convergence of linear
stationary iterative processes . . . . . 131--142
John J. Buoni A stable method for the incomplete
factorization of $ {H}$-matrices . . . . 143--154
Sönke Hansen An algorithm for Lagrangian subspaces 155--176
Alvaro R. De Pierro and
Alfredo N. Iusem On the asymptotic behavior of some
alternate smoothing series expansion
iterative methods . . . . . . . . . . . 3--24
P. P. B. Eggermont Multiplicative iterative algorithms for
convex programming . . . . . . . . . . . 25--42
L. Elsner and
I. Koltracht and
M. Neumann On the convergence of asynchronous
paracontractions with application to
tomographic reconstruction from
incomplete data . . . . . . . . . . . . 65--82
Martin Hanke and
Wilhelm Niethammer On the acceleration of Kaczmarz's method
for inconsistent linear systems . . . . 83--98
Achiya Dax On hybrid acceleration of a linear
stationary iterative process . . . . . . 99--110
Nicolas J. Dusaussoy and
Ikram E. Abdou Some new multiplicative algorithms for
image reconstruction from projections 111--132
Henry E. Fleming Equivalence of regularization and
truncated iteration in the solution of
ill-posed image reconstruction problems 133--150
Jerry L. Prince and
Alan S. Willsky A geometric projection-space
reconstruction algorithm . . . . . . . . 151--191
Israel Koltracht and
Peter Lancaster and
Digby Smith The structure of some matrices arising
in tomography . . . . . . . . . . . . . 193--218
M. Kh. Salakhov and
N. K. Shcherbakova A regularized algorithm for local
emission reconstruction in spectroscopic
tomography . . . . . . . . . . . . . . . 219--229
W. C. Karl and
G. C. Verghese Curvatures of surfaces and their shadows 231--255
A. van der Sluis and
H. A. Van der Vorst SIRT- and CG-type methods for the
iterative solution of sparse linear
least-squares problems . . . . . . . . . 257--303
Achiya Dax Line search acceleration of iterative
methods . . . . . . . . . . . . . . . . 43--63
Hua Dai On the symmetric solutions of linear
matrix equations . . . . . . . . . . . . 1--7
K. G. Jinadasa The information matrix of a sample of
observations with missing data from a
multivariate normal distribution with a
covariance structure . . . . . . . . . . 9--15
Robert Grone and
Stephen Pierce Extremal bipartite matrices . . . . . . 39--50
Sujit Kumar Mitra A pair of simultaneous linear matrix
equations $ {A}_1 {XB}_1 = {C}_1, \,
{A}_2 {XB}_2 = {C}_2 $ and a matrix
programming problem . . . . . . . . . . 107--123
E. Kaszkurewicz and
A. Bhaya and
D. D. \vSiljak On the convergence of parallel
asynchronous block-iterative
computations . . . . . . . . . . . . . . 139--160
B. N. Datta and
Karabi Datta On eigenvalue and canonical form
assignments . . . . . . . . . . . . . . 161--182
Fred Richman Polynomials and linear transformations 131--137
B. Curtis Eaves and
Uriel G. Rothblum Relationships of properties of piecewise
affine maps over ordered fields . . . . 1--63
Jiang Erxiong An algorithm for finding generalized
eigenpairs of a symmetric definite
matrix pencil . . . . . . . . . . . . . 65--91
Suk Geun Hwang Maximum permanents on certain classes of
nonnegative matrices . . . . . . . . . . 103--113
Dianne P. O'Leary On Bounds For Scaled Projections and
Pseudo-Inverses . . . . . . . . . . . . 115--117
Bernard Aupetit and
Jaroslav Zemánek A characterization of normal matrices by
their exponentials . . . . . . . . . . . 119--121
Roy Mathias and
Jong-Shi Pang Error bounds for the linear
complementarity problem with a $
{P}$-matrix . . . . . . . . . . . . . . 123--136
LeRoy B. Beasley and
Norman J. Pullman Linear operators that strongly preserve
commuting pairs of Boolean matrices . . 137--143
G. Mühlbach On extending determinantal identities 145--162
Li Ching A bound on the spectral radius of
matrices of zeros and ones . . . . . . . 179--183
Yoopyo Hong A Hermitian canonical form for complex
matrices under consimilarity . . . . . . 1--19
Robert E. Hartwig and
Michael Neumann and
Nicholas J. Rose An algebraic-analytic approach to
nonnegative bases . . . . . . . . . . . 77--88
J. Patera and
H. Zassenhaus The construction of solvable Lie
algebras from equidimensional nilpotent
algebras . . . . . . . . . . . . . . . . 89--120
Bo Lian Liu and
Brendan D. McKay and
Nicholas C. Wormald and
Ke Min Zhang The exponent set of symmetric primitive
$ (0, 1) $ matrices with zero trace . . 121--131
Yong Lin Chen and
Bing Jun Zhou On $g$-inverses and the nonsingularity
of a bordered matrix $ (\stack {A B}{C
0})$ . . . . . . . . . . . . . . . . . . 133--151
Fathali K. Firoozi A transformation of the
inequality-constrained linear model . . 153--163
LeRoy B. Beasley and
Thomas J. Laffey Linear operators on matrices: the
invariance of rank-$k$ matrices . . . . 175--184
Carl C. Cowen An application of Hadamard
multiplication to operators on weighted
Hardy spaces . . . . . . . . . . . . . . 21--32
Mu Sheng Wei On the error estimate for the projection
of a point onto a linear manifold . . . 53--75
Ben Fu Yang and
Wan Di Wei Finite orthogonal geometries with
characteristic $ \neq 2 $ and PBIB
designs. I . . . . . . . . . . . . . . . 1--23
Matja\vz Omladi\vc On operators preserving the numerical
range . . . . . . . . . . . . . . . . . 31--51
Robert Grone and
Stephen Pierce and
William Watkins Extremal correlation matrices . . . . . 63--70
Yong Lin Chen The generalized Bott--Duffin inverse and
its applications . . . . . . . . . . . . 71--91
C. A. J. Hurkens Blowing up convex sets in the plane . . 121--128
Jure \vSkarabot The extremal case of a matrix inequality 129--136
Arnold Knopfmacher and
John Knopfmacher The distribution of values of
polynomials over a finite field . . . . 145--151
Franti\vsek Neuman Finite sums of products of functions in
single variables . . . . . . . . . . . . 153--164
Raphael Loewy Linear maps which preserve a balanced
nonsingular inertia class . . . . . . . 165--179
Shmuel Friedland Characterizations of the spectral radius
of positive operators . . . . . . . . . 93--105
Victor Vinnikov Elementary transformations of
determinantal representations of
algebraic curves . . . . . . . . . . . . 1--18
R. Q. Jia and
N. Sivakumar On the linear independence of integer
translates of box splines with rational
directions . . . . . . . . . . . . . . . 19--31
M. A. del Olmo and
M. A. Rodríguez and
P. Winternitz and
H. Zassenhaus Maximal Abelian subalgebras of
pseudounitary Lie algebras . . . . . . . 79--151
Thomas H. Foregger Embedding nearly decomposable matrices
into certain staircase matrices . . . . 153--165
A. S. Hedayat and
H. Pesotan Strongly threefold orthogonal matrices
with statistical applications . . . . . 1--23
Man Duen Choi and
Pei Yuan Wu Convex combinations of projections . . . 25--42
Jerome Dancis Several consequences of an inertia
theorem . . . . . . . . . . . . . . . . 43--61
Dao De Huang On circulant Boolean matrices . . . . . 107--117
B. J. Papantoniou A characterization of the symmetric
space $ {\rm SU}(n) / {\rm SO}(n) $ by
geodesic spheres . . . . . . . . . . . . 133--164
Jean H. Bevis and
Frank J. Hall and
Robert E. Hartwig Conpseudosimilarity and
consemisimilarity over a division ring 181--188
Erich Kaltofen and
M. S. Krishnamoorthy and
B. David Saunders Parallel algorithms for matrix normal
forms . . . . . . . . . . . . . . . . . 189--208
Tomasz Szulc A criterion for the nonsingularity of
matrices . . . . . . . . . . . . . . . . 209--213
Mark S. Ashbaugh and
Rafael D. Benguria Some eigenvalue inequalities for a class
of Jacobi matrices . . . . . . . . . . . 215--234
Zvi First and
Steven T. Hackman and
Ury Passy Matrix criteria for the pseudo-$
{P}$-convexity of a quadratic form . . . 235--255
C. G. Broyden Lemke's method---a recursive approach 257--272
Tânia M. M. Campos and
Silvia D. A. Machado and
Philip Holgate Sex dependent genetic recombination
rates for several loci . . . . . . . . . 165--172
Eduardo D. Sontag and
Yuan Wang Pole shifting for families of linear
systems depending on at most three
parameters . . . . . . . . . . . . . . . 3--38
P. Kunkel and
V. Mehrmann Numerical solution of differential
algebraic Riccati equations . . . . . . 39--66
Guo Liang Xu and
Adhemar Bultheel Matrix Padé approximation: definitions
and properties . . . . . . . . . . . . . 67--136
Ji Guang Sun Multiple eigenvalue sensitivity analysis 183--211
Ciprian Foias and
Arthur Frazho and
Allen Tannenbaum On certain minimal entropy extensions
appearing in dilation theory. I . . . . 213--238
S. Roch and
B. Silbermann On algebras with standard identities . . 239--247
I. Gohberg and
T. Shalom On Bezoutians of nonsquare matrix
polynomials and inversion of matrices
with nonsquare blocks . . . . . . . . . 249--323
Joseph A. Ball and
Marek Rakowski Minimal McMillan degree rational matrix
functions with prescribed local
zero-pole structure . . . . . . . . . . 325--349
Jean-Claude Evard and
Juan-Miguel Gracia On similarities of class $ {C}^p $ and
applications to matrix differential
equations . . . . . . . . . . . . . . . 363--386
I. Gohberg and
M. A. Kaashoek and
A. C. M. Ran Regular rational matrix functions with
prescribed null and pole data except at
infinity . . . . . . . . . . . . . . . . 387--412
William L. Green and
T. D. Morley Operator means and matrix functions . . 453--465
B. D. O. Anderson and
A. C. Antoulas Rational interpolation and
state-variable realizations . . . . . . 479--509
A. C. Antoulas and
J. A. Ball and
J. Kang and
J. C. Willems On the solution of the minimal rational
interpolation problem . . . . . . . . . 511--573
André C. M. Ran and
Leiba Rodman Stable invariant Lagrangian subspaces:
factorization of symmetric rational
matrix functions and other applications 575--620
Joseph A. Ball and
Israel Gohberg and
Leiba Rodman Common minimal multiples and divisors
for rational matrix functions . . . . . 621--662
P. Van Dooren Rational and polynomial matrix
factorizations via recursive pole-zero
cancellation . . . . . . . . . . . . . . 663--697
Joseph A. Ball and
Jeongook Kang Matrix polynomial solutions of
tangential Lagrange--Sylvester
interpolation conditions of low McMillan
degree . . . . . . . . . . . . . . . . . 699--746
Binyamin Schwarz and
Abraham Zaks Non-Euclidean motions in projective
matrix spaces . . . . . . . . . . . . . 351--361
Donald St. P. Richards Totally positive kernels, Pólya frequency
functions, and generalized
hypergeometric series . . . . . . . . . 467--478
Daniel Alpay and
Harry Dym Structured invariant spaces of vector
valued rational functions, Hermitian
matrices, and a generalization of the
Iohvidov laws . . . . . . . . . . . . . 137--181
Daniel Alpay and
Harry Dym Structured invariant spaces of vector
valued functions, sesquilinear forms,
and a generalization of the Iohvidov
laws . . . . . . . . . . . . . . . . . . 413--451
Bing Li New results on the exponent set of
primitive nearly reducible matrices . . 1--19
Eric C. Howe and
Charles R. Johnson Expected-value norms on matrices . . . . 21--29
Richard H. Warren Classes of matrices for the traveling
salesman problem . . . . . . . . . . . . 53--62
De Gui Teng Inverse eigenvalue problem for some
special matrices . . . . . . . . . . . . 63--65
John J. Buoni Extensions of SSOR . . . . . . . . . . . 67--87
T. Parthasarathy and
G. Ravindran $ {N}$-matrices . . . . . . . . . . . . 89--102
Ntumba Tshimvunda Keliba and
Dirk Huylebrouck A note on conjugate Toeplitz matrices 103--109
Paul D. Gader Displacement operator based
decompositions of matrices using
circulants or other group matrices . . . 111--131
Brenda L. Dietrich Monge sequences, antimatroids, and the
transportation problem with forbidden
arcs . . . . . . . . . . . . . . . . . . 133--145
Ren Cang Li On the variation of the spectra of
matrix pencils . . . . . . . . . . . . . 147--164
Aharon Ben-Tal and
Marc Teboulle A geometric property of the least
squares solution of linear equations . . 165--170
J. A. Hermida-Alonso and
T. Sánchez-Giralda On the duality principle for linear
dynamical systems over commutative rings 175--180
Gabriele Steidl Generalization of the algebraic discrete
Fourier transform with application to
fast convolutions . . . . . . . . . . . 181--206
S. H. Chou and
T. A. Porsching Contraction numbers for additive
correction methods . . . . . . . . . . . 207--215
Tomasz Szulc A contribution to the theory of $
{P}$-matrices . . . . . . . . . . . . . 217--224
Chen Han Sung and
Bit-Shun Tam A study of projectionally exposed cones 225--252
Ji Guang Sun Relative eigenvalues of a definite
matrix pair . . . . . . . . . . . . . . 253--267
Roy Mathias The spectral norm of a nonnegative
matrix . . . . . . . . . . . . . . . . . 269--284
Yung Chow Wong and
Kam Ping Mok Normally related $n$-planes and
isoclinic $n$-planes in $ {\bf R}^{2n}$
and strongly linearly independent
matrices of order $n$ . . . . . . . . . 31--52
Ji\vrí Rohn Nonsingularity under data rounding . . . 171--174
Jennifer Ryan The constraints of the group of an
integral monoid . . . . . . . . . . . . 285--292
J. A. Dias da Silva and
Ma. da Purificação Coelho $ (\lambda, {G})$-critical matrices . . 1--11
Hans Joachim Werner A closed form formula for the
intersection of two complex matrices
under the star order . . . . . . . . . . 13--30
Jorma Kaarlo Merikoski On $ \ell_{p_1, p_2} $ antinorms of
nonnegative matrices . . . . . . . . . . 31--44
Bo Lian Liu A note on the exponents of primitive $
(0, 1) $ matrices . . . . . . . . . . . 45--51
Ettore Fornasini 2D Markov chains . . . . . . . . . . . . 101--127
Chi-Kwong Li and
Leiba Rodman Some extremal problems for positive
definite matrices and operators . . . . 139--154
Ming S. Hung and
Walter O. Rom An application of the Hermite normal
form in integer programming . . . . . . 163--179
R. B. Bapat and
K. P. S. Bhaskara Rao and
K. Manjunatha Prasad Generalized inverses over integral
domains . . . . . . . . . . . . . . . . 181--196
B. Kouvaritakis and
J. A. Rossiter Branch-point placement . . . . . . . . . 217--249
H. W. J. Lenferink and
M. N. Spijker A generalization of the numerical range
of a matrix . . . . . . . . . . . . . . 251--266
Jim Hartman On a conjecture of Gohberg and Rodman 267--278
B. N. Parlett and
H. C. Chen Use of indefinite pencils for computing
damped natural modes . . . . . . . . . . 53--88
Suk Geun Hwang Some nontrivial permanental mates . . . 89--100
M. Seetharama Gowda On the transpose of a pseudomonotone
matrix and the LCP . . . . . . . . . . . 129--137
N. Komaroff Rearrangement and matrix product
inequalities . . . . . . . . . . . . . . 155--161
Konrad J. Heuvers and
Daniel S. Moak The Binet--Cauchy functional equation
and nonsingular multiindexed matrices 197--215
Friedrich Roesler Riemann's hypothesis as an eigenvalue
problem. III . . . . . . . . . . . . . . 1--46
D. J. Hartfiel and
E. Seneta A note on semigroups of regular
stochastic matrices . . . . . . . . . . 47--51
Miroslav Fiedler Pencils of real symmetric matrices and
real algebraic curves . . . . . . . . . 53--60
A. P. Jurg and
M. J. M. Jansen and
T. Parthasarathy and
S. H. Tijs On weakly completely mixed bimatrix
games . . . . . . . . . . . . . . . . . 61--74
Erol Emre and
Heng Ming Tai and
Jin H. Seo Transfer matrices, realization, and
control of continuous-time linear
time-varying systems via polynomial
fractional representations . . . . . . . 79--104
W. Apitzsch and
B. Fritzsche and
B. Kirstein A Schur analysis approach to minimum
distance problems . . . . . . . . . . . 105--122
J. W. Nieuwenhuis From simple to complicated: noncausal
bounded input, bounded output stability
in linear discrete time models in the
deterministic and stochastic cases . . . 153--164
Per Christian Hansen Relations between SVD and GSVD of
discrete regularization problems in
standard and general form . . . . . . . 165--176
Mu Sheng Wei Perturbation of the Least Squares
Problem . . . . . . . . . . . . . . . . 177--182
Shmuel Friedland A note on a determinantal inequality . . 221--222
M. Madalena Martins A note on the convergence of the MSOR
method . . . . . . . . . . . . . . . . . 223--226
Charles R. Johnson and
Rafael Brú The spectral radius of a product of
nonnegative matrices . . . . . . . . . . 227--240
A. A. Jafarian and
A. R. Sourour Continuity properties of Hyperlat and
reducing subspaces . . . . . . . . . . . 253--264
Elliott H. Lieb On the spectral radius of the product of
matrix exponentials . . . . . . . . . . 271--273
Richard Sinkhorn Concerning hypernormal stochastic
matrices . . . . . . . . . . . . . . . . 275--281
J. A. Dias da Silva and
Yahya Ould Hamidoune A note on the minimal polynomial of the
Kronecker sum of two linear operators 283--287
Heinrich Puschmann Weitere unzulässige Abwandlungen der
Vermutung von Wilkinson. (German)
[Further invalid modifications of
Wilkinson's conjecture] . . . . . . . . 75--78
Jeffrey L. Stuart The partial order graph for a ZME-matrix 123--152
V. Hussin and
P. Winternitz and
H. Zassenhaus Maximal Abelian subalgebras of complex
orthogonal Lie algebras . . . . . . . . 183--220
José Luis Palacios Bounds on expected hitting times for a
random walk on a connected graph . . . . 241--252
Miroslav Fiedler Expressing a polynomial as the
characteristic polynomial of a symmetric
matrix . . . . . . . . . . . . . . . . . 265--270
J. Patera and
H. Zassenhaus Solvable Lie algebras of dimension $
\leq 4 $ over perfect fields . . . . . . 1--17
Rodolfo Baeza V. On nuclear Bernstein algebras . . . . . 19--22
Pei Yuan Wu Sums of idempotent matrices . . . . . . 43--54
William C. Waterhouse Classifying nonsingular quadratic forms
of rank three . . . . . . . . . . . . . 55--61
Roger A. Horn and
Roy Mathias Cauchy--Schwarz inequalities associated
with positive semidefinite matrices . . 63--82
Jerzy K. Baksalary and
Simo Puntanen Spectrum and trace invariance criterion
and its statistical applications . . . . 121--128
P. R. Graves-Morris and
C. R. Johnson Confluent Hermitian Cauchy matrices are
diagonally signed . . . . . . . . . . . 129--140
Tyler J. Jarvis A dominant negative eigenvalue of a
matrix of Redheffer . . . . . . . . . . 141--152
G. Corach and
H. Porta and
L. Recht An operator inequality . . . . . . . . . 153--158
J. D. Dixon and
J. C. Poland and
I. S. Pressman and
L. Ribes The shuffle algorithm and Jordan blocks 159--165
Ying Chen Notes on $ {F}_0$-matrices . . . . . . . 167--172
M. S. Lambrou On the rank of operators in reflexive
algebras . . . . . . . . . . . . . . . . 211--235
Alexander Vardy and
Jakov Snyders and
Yair Be'ery Bounds on the dimension of codes and
subcodes with prescribed contraction
index . . . . . . . . . . . . . . . . . 237--261
S. W. Drury Several graded contractions on Hilbert
space . . . . . . . . . . . . . . . . . 23--41
Sh. A. Ajupov and
B. Iochum and
N. Dzh. Yadgorov Symmetry versus facial homogeneity for
self-dual cones . . . . . . . . . . . . 83--89
Ralf Hirschbühl Commutators in classical Lie algebras 91--111
Nader Agha and
Daniel Hershkowitz The relation between the height and
level characteristics for a matrix with
simple singular vertices . . . . . . . . 113--119
Dragomir \vZ. \Dbarokovi\'c Cyclic polygons, roots of polynomials
with decreasing nonnegative
coefficients, and eigenvalues of
stochastic matrices . . . . . . . . . . 173--193
R. Bhatia and
L. Elsner and
G. Krause Bounds for the variation of the roots of
a polynomial and the eigenvalues of a
matrix . . . . . . . . . . . . . . . . . 195--209
L. N. Vaserstein and
E. Wheland Commutators and companion matrices over
rings of stable rank $1$ . . . . . . . . 263--277
De Guang Han and
Balmohan V. Limaye On a spectral characterization of rank
one matrices . . . . . . . . . . . . . . 1--6
F. O. Farid and
P. Lancaster Spectral properties of diagonally
dominant infinite matrices. II . . . . . 7--17
D. S. Watkins and
L. Elsner Convergence of algorithms of
decomposition type for the eigenvalue
problem . . . . . . . . . . . . . . . . 19--47
Seok-Zun Song Minimum permanents on certain doubly
stochastic matrices . . . . . . . . . . 49--56
M. Bierlaire and
Ph. L. Toint and
D. Tuyttens On iterative algorithms for linear least
squares problems with bound constraints 111--143
Wen Chao Huang On the singular graph and Jordan diagram
of strictly lower triangular matrices
and $ {M}$-matrices . . . . . . . . . . 145--169
Zden\vek Vav\vrín A unified approach to Loewner and Hankel
matrices . . . . . . . . . . . . . . . . 171--222
Hartmut Prautzsch Linear subdivision . . . . . . . . . . . 223--230
Balmohan V. Limaye A spectral characterization of operators
having rank $k$ . . . . . . . . . . . . 57--66
Chi-Kwong Li and
Nam-Kiu Tsing Duality between some linear preserver
problems. III. $c$-spectral norms and
(skew)-symmetric matrices with fixed
singular values . . . . . . . . . . . . 67--97
C. G. Broyden On degeneracy in linear complementarity
problems . . . . . . . . . . . . . . . . 99--110
Moussa Ouattara Sur les $ {T}$-alg\`ebres de Jordan.
(French) [On Jordan $ {T}$-algebras] . . 11--21
Joachim von zur Gathen Maximal bilinear complexity and codes 49--61
Lucas Jódar Solving algebraic and differential
Riccati operator equations . . . . . . . 71--83
A. Bülent Özgüler and
Nail Akar A common solution to a pair of linear
matrix equations over a principal ideal
domain . . . . . . . . . . . . . . . . . 85--99
Remo Gattazzo Polynomial matrices with given
determinant . . . . . . . . . . . . . . 107--120
F. K. Bell On the maximal index of connected graphs 135--151
T. L. Hayden and
Jim Wells and
Wei Min Liu and
P. Tarazaga The cone of distance matrices . . . . . 153--169
Ching Li and
Ji Cheng Chen On a bound for the Hadamard product of
an $ {M}$-matrix and its inverse . . . . 171--178
H. Narayanan The principal lattice of partitions of a
submodular function . . . . . . . . . . 179--216
Wan Yi Chen Stabilizability, controllability and
observability of linear continuous-time
systems defined over a commutative
Banach algebra . . . . . . . . . . . . . 1--10
Sing-Cheong Ong On equality of invariant subspace
lattices of operators . . . . . . . . . 23--27
Moussa Ouattara Sur les alg\`ebres de Bernstein d'ordre
$2$. (French) [On second-order Bernstein
algebras] . . . . . . . . . . . . . . . 29--38
Zhong Xu An algorithm for the inversion of
quasi-Hessenberg matrices . . . . . . . 39--47
David G. Obert The angle between two cones . . . . . . 63--70
Wen Li The relationship of a regular splitting
to a graph compatible splitting . . . . 101--105
C. B. Soh Necessary and sufficient conditions for
interval polynomials to have only real
distinct roots . . . . . . . . . . . . . 121--133
B. Najman and
Q. Ye A minimax characterization for
eigenvalues of Hermitian pencils . . . . 217--230
Morris Newman and
Robert C. Thompson Matrices over rings of algebraic
integers . . . . . . . . . . . . . . . . 1--20
T. S. Michael The structure matrix and a
generalization of Ryser's maximum term
rank formula . . . . . . . . . . . . . . 21--31
R. B. Bapat Majorization and singular values. III 59--70
John C. Strikwerda and
Bruce A. Wade Ces\`aro means and the Kreiss matrix
theorem . . . . . . . . . . . . . . . . 89--106
Chun Hua Guo Some results on sparse block
factorization iterative methods . . . . 187--199
Donald Pierce Range decompositions and generalized
square roots of positive semidefinite
matrices . . . . . . . . . . . . . . . . 201--212
Marc Artzrouni On the growth of infinite products of
slowly varying primitive matrices . . . 33--57
M. H. C. Paardekooper A quadratically convergent parallel
Jacobi process for diagonally dominant
matrices with nondistinct eigenvalues 71--87
C. Olech and
T. Parthasarathy and
G. Ravindran Almost $ {N}$-matrices and linear
complementarity . . . . . . . . . . . . 107--125
P. Butkovi\vc and
R. A. Cuninghame-Green On the regularity of matrices in $ \min
$ algebra . . . . . . . . . . . . . . . 127--139
Raul Ernesto Gonzalez and
D. J. Hartfiel On the structure of the stochastic
idempotent matrix space . . . . . . . . 141--158
Elliot Linzer and
Martin Vetterli Structure and arithmetic complexity of
products and inverses of Toeplitz
matrices . . . . . . . . . . . . . . . . 159--175
K. H. Kim and
F. W. Roush Path components of matrices and strong
shift equivalence over $ {\bf Q}^+ $ . . 177--186
Irvin Roy Hentzel and
Luiz Antonio Peresi Bernstein algebras given by symmetric
bilinear forms . . . . . . . . . . . . . 213--219
J. Kova\vc-Striko and
K. Veseli\'c Some remarks on the spectra of Hermitian
matrices . . . . . . . . . . . . . . . . 221--229
Maria da Graça Marques Matrices with prescribed nonprincipal
blocks and the trace function . . . . . 1--6
LeRoy B. Beasley and
Norman J. Pullman Linear operators preserving idempotent
matrices over fields . . . . . . . . . . 7--20
A. Bouchet and
A. Duchamp Representability of $ \triangle
$-matroids over $ {\rm GF}(2)$ . . . . . 67--78
P. A. Fuhrmann A polynomial approach to Hankel norm and
balanced approximations . . . . . . . . 133--220
Chi-Kwong Li Some results on the generalized
$k$-numerical range . . . . . . . . . . 21--29
K. Manjunatha Prasad and
K. P. S. Bhaskara Rao and
R. B. Bapat Generalized inverses over integral
domains. II. Group inverses and Drazin
inverses . . . . . . . . . . . . . . . . 31--47
Wen Wei Lin and
C. W. Chen An acceleration method for computing the
generalized eigenvalue problem on a
parallel computer . . . . . . . . . . . 49--65
R. W. Brockett Dynamical systems that sort lists,
diagonalize matrices, and solve linear
programming problems . . . . . . . . . . 79--91
Xing Ping Liu Convergence of preconditioned iterative
methods . . . . . . . . . . . . . . . . 93--110
Fernando C. Silva Matrices with nonzero entries . . . . . 111--119
Erich W. Ellers and
Jerry Malzan Products of $ \lambda $-transvections in
$ {\rm Sp}(2 n, q)$ . . . . . . . . . . 121--132
János Bognár A spectral-radius formula for symmetric
operators in finite-dimensional Kre\uìn
spaces . . . . . . . . . . . . . . . . . 3--16
Donald W. Robinson The primary decomposition of a set of
matrices . . . . . . . . . . . . . . . . 45--53
Thomas J. Laffey and
Susan Lazarus Two-generated commutative matrix
subalgebras . . . . . . . . . . . . . . 249--273
Robert C. Thompson Pencils of complex and real symmetric
and skew matrices . . . . . . . . . . . 323--371
Vlastimil Dlab and
Claus Michael Ringel Canonical forms of pairs of complex
matrices . . . . . . . . . . . . . . . . 387--410
Harald K. Wimmer Normal forms of symplectic pencils and
the discrete-time algebraic Riccati
equation . . . . . . . . . . . . . . . . 411--440
T. Boros and
P. Rózsa and
L. Mironovskij and
N. Mihajlov A uniform algorithm for the
transformation of multivariable systems
into canonical forms . . . . . . . . . . 441--467
H. Bart and
G. Ph. A. Thijsse Similarity invariants for pairs of upper
triangular Toeplitz matrices . . . . . . 17--44
Daniel Hershkowitz Peak characteristic and nonnegative
signature . . . . . . . . . . . . . . . 55--73
Moody T. Chu A continuous Jacobi-like approach to the
simultaneous reduction of real matrices 75--96
Ronald J. Stern and
Henry Wolkowicz A note on generalized invariant cones
and the Kronecker canonical form . . . . 97--100
Helene Shapiro A survey of canonical forms and
invariants for unitary similarity . . . 101--167
Rajendra Bhatia and
Roger A. Horn and
Fuad Kittaneh Normal approximants of binormal
operators . . . . . . . . . . . . . . . 169--179
T. Ando and
K. Okubo Induced norms of the Schur multiplier
operator . . . . . . . . . . . . . . . . 181--199
J. Zhu and
C. D. Johnson Unified canonical forms for matrices
over a differential ring . . . . . . . . 201--248
Barbara A. Li Santi and
Robert C. Thompson Simultaneous reduction of a complex skew
matrix and a Hermitian matrix . . . . . 275--322
Yoo Pyo Hong and
Roger A. Horn The Jordan canonical form of a product
of a Hermitian and a positive
semidefinite matrix . . . . . . . . . . 373--386
Bart De Moor and
Hong Yuan Zha A Tree of Generalizations of the
Ordinary Singular Value Decomposition 469--500
Yoo Pyo Hong A canonical form under $ \phi
$-equivalence . . . . . . . . . . . . . 501--549
Fernando C. Silva Matrices with prescribed eigenvalues and
blocks . . . . . . . . . . . . . . . . . 59--73
J. W. van der Woude On the structure at infinity of a
structured system . . . . . . . . . . . 145--169
R. Costa On train algebras of rank $3$ . . . . . 1--12
K. P. S. Bhaskara Rao Generalized inverses with respect to
general norms. II . . . . . . . . . . . 13--18
M. A. Dehghan and
M. Radjabalipour Matrix algebras and Radjavi's trace
condition . . . . . . . . . . . . . . . 19--25
Wai-fong Chuan Matrices originating from certain
difference equations . . . . . . . . . . 27--42
Charles R. Johnson and
Peter Nylen Monotonicity properties of norms . . . . 43--58
Eberhard U. Stickel Separating eigenvalues using the matrix
sign function . . . . . . . . . . . . . 75--88
M. H. Lim Linear maps on symmetric spaces: the
invariance of nonzero decomposable
elements . . . . . . . . . . . . . . . . 89--92
Pham Van At Diagonal transformation methods for
computing the maximal eigenvalue and
eigenvector of a nonnegative irreducible
matrix . . . . . . . . . . . . . . . . . 93--123
Mihai Bakonyi and
Tiberiu Constantinescu Inheritance principles for chordal
graphs . . . . . . . . . . . . . . . . . 125--143
Moussa Ouattara Sur les alg\`ebres de Bernstein qui sont
des $ {T}$-alg\`ebres. (French)
[Bernstein algebras that are $
{T}$-algebras] . . . . . . . . . . . . . 171--178
Eduardo Marques de Sá and
María-José Sodupe Generalized singular values, interlacing
inequalities, and monotonic norms . . . 179--192
Vjeran Hari On pairs of almost diagonal matrices . . 193--223
Luo Luo Li Some sufficient conditions for the
solvability of inverse eigenvalue
problems . . . . . . . . . . . . . . . . 225--236
Sujit Kumar Mitra Matrix partial order through generalized
inverses: unified theory . . . . . . . . 237--263
Zhi-min Jiang and
Jia Yu Shao On the set of indices of convergence for
reducible matrices . . . . . . . . . . . 265--278
Jia Yu Shao Bounds on the $k$ th eigenvalues of
trees and forests . . . . . . . . . . . 19--34
Dennis Phillips Resolvent bounds and spectral variation 35--40
Pablo Tarazaga More estimates for eigenvalues and
singular values . . . . . . . . . . . . 97--110
Jin Hsien Wang and
Pei Yuan Wu Products of unipotent matrices of index
$2$ . . . . . . . . . . . . . . . . . . 111--123
Eytan Paldi and
Hedi Taub Paldi and
Shaul Gutman The intersection of regions and root
clustering . . . . . . . . . . . . . . . 151--164
John Hannah and
K. C. O'Meara Products of simultaneously triangulable
idempotent matrices . . . . . . . . . . 185--190
George Poole and
Larry Neal A Geometric Analysis of Gaussian
Elimination. I . . . . . . . . . . . . . 249--272
Mark S. Ashbaugh and
Rafael D. Benguria Addendum: ``Some eigenvalue inequalities
for a class of Jacobi matrices'' . . . . 277--277
Evgenij E. Tyrtyshnikov Cauchy--Toeplitz matrices and some
applications . . . . . . . . . . . . . . 1--18
Raymond H. Chan and
Xiao Qing Jin and
Man-Chung Yeung The circulant operator in the Banach
algebra of matrices . . . . . . . . . . 41--53
Gregory Ammar and
Volker Mehrmann On Hamiltonian and symplectic Hessenberg
forms . . . . . . . . . . . . . . . . . 55--72
Jerzy K. Baksalary and
Sujit Kumar Mitra Left-star and right-star partial
orderings . . . . . . . . . . . . . . . 73--89
Masatoshi Fujii and
Takayuki Furuta and
Eizaburo Kamei Operator functions associated with
Furuta's inequality . . . . . . . . . . 91--96
R. B. Bapat and
A. K. Lal Path-positive graphs . . . . . . . . . . 125--149
Ruud H. Koning and
Heinz Neudecker and
Tom Wansbeek Block Kronecker products and the vecb
operator . . . . . . . . . . . . . . . . 165--184
C. Carstensen Linear construction of companion
matrices . . . . . . . . . . . . . . . . 191--214
Ben Mathes and
Matja\vz Omladi\vc and
Heydar Radjavi Linear spaces of nilpotent matrices . . 215--225
Nir Cohen and
Izchak Lewkowicz Bounds for singular values based on the
eigenvectors . . . . . . . . . . . . . . 227--248
George W. Soules The rate of convergence of Sinkhorn
balancing . . . . . . . . . . . . . . . 3--40
Marvin Marcus Multilinear methods in linear algebra 41--59
Russell Merris Almost all trees are co-immanantal . . . 61--66
Daniel J. Scully Maximal rank-one spaces of matrices over
chain semirings. I. $u$-spaces . . . . . 67--80
Ronald J. Stern and
Henry Wolkowicz Invariant ellipsoidal cones . . . . . . 81--106
Bob Grone and
Steve Pierce Extremal positive semidefinite doubly
stochastic matrices . . . . . . . . . . 107--117
Shmuel Friedland Pairs of matrices which do not admit a
complementary triangular form . . . . . 119--123
Jerome Dancis Invertible completions of band matrices 125--138
R. Loewy and
D. R. Shier and
C. R. Johnson Perron eigenvectors and the symmetric
transportation polytope . . . . . . . . 139--155
I. Gohberg and
M. A. Kaashoek and
H. J. Woerdeman A note on extensions of band matrices
with maximal and submaximal invertible
blocks . . . . . . . . . . . . . . . . . 157--166
Robert Grone On the geometry and Laplacian of a graph 167--178
Chi-Kwong Li and
Nam-Kiu Tsing $ {G}$-invariant norms and $
{G}(c)$-radii . . . . . . . . . . . . . 179--194
Michael E. Lundquist and
Charles R. Johnson Linearly constrained positive definite
completions . . . . . . . . . . . . . . 195--207
Rafael Brú and
Leiba Rodman and
Hans Schneider Extensions of Jordan bases for invariant
subspaces of a matrix . . . . . . . . . 209--225
R. A. Brualdi and
J. Csima Small matrices of large dimension . . . 227--241
Yik Hoi Au-Yeung and
Che-Man Cheng Permutation matrices whose convex
combinations are orthostochastic . . . . 243--253
Jeffrey L. Stuart and
James R. Weaver Matrices that commute with a permutation
matrix . . . . . . . . . . . . . . . . . 255--265
Jean H. Bevis and
Frank J. Hall Integer $ {LU}$-factorizations . . . . . 267--285
Pál Rózsa and
Roberto Bevilacqua and
Francesco Romani and
Paola Favati On band matrices and their inverses . . 287--295
Charles R. Johnson and
Erik A. Schreiner Explicit Jordan form for certain block
triangular matrices . . . . . . . . . . 297--314
Jorma Kaarlo Merikoski On $c$-norms and $c$-antinorms on cones 315--329
R. B. Bapat An interlacing theorem for tridiagonal
matrices . . . . . . . . . . . . . . . . 331--340
Olga Taussky and
John Todd Another look at a matrix of Mark Kac . . 341--360
M. C. Gouveia and
R. Puystjens About the group inverse and
Moore--Penrose inverse of a product . . 361--369
Hans Joachim Werner Some further results on matrix
monotonicity . . . . . . . . . . . . . . 371--392
Yair Censor and
Stavros A. Zenios Interval-constrained matrix balancing 393--421
H. Bart and
H. K. Wimmer Simultaneous reduction to triangular and
companion forms of pairs of matrices:
the case $ {\rm rank}({I} - {AZ}) = 1 $ 443--461
Shmuel Friedland Quadratic forms and the graph
isomorphism problem . . . . . . . . . . 423--442
A. S. Deif Singular values of an interval matrix 125--133
Krzysztof Ga\lkowski An a priori nonminimal state-space
realization of $n$-D systems . . . . . . 185--198
J. Chun and
T. Kailath Displacement structure for Hankel,
Vandermonde, and related (derived)
matrices . . . . . . . . . . . . . . . . 199--227
Jian Ming Miao General expressions for the
Moore--Penrose inverse of a $ 2 \times 2
$ block matrix . . . . . . . . . . . . . 1--15
Ricardo N. Cruz Linear and Lipschitz similarity . . . . 17--25
Roy Mathias The equivalence of two partial orders on
a convex cone of positive semidefinite
matrices . . . . . . . . . . . . . . . . 27--55
K. B. Datta Invertibility of linear systems
described by differential-difference
equations . . . . . . . . . . . . . . . 57--83
M. Neumann and
H. J. Werner Nonnegative group inverses . . . . . . . 85--96
Fuad Kittaneh On zero-trace matrices . . . . . . . . . 119--124
Jerzy K. Baksalary and
Friedrich Pukelsheim On the Löwner, minus, and star partial
orderings of nonnegative definite
matrices and their squares . . . . . . . 135--141
D. R. Jensen Vector efficiency in multiparameter
estimation . . . . . . . . . . . . . . . 143--155
Paul Binding and
Chi-Kwong Li Joint ranges of Hermitian matrices and
simultaneous diagonalization . . . . . . 157--167
Jerzy K. Baksalary and
Götz Trenkler Nonnegative and positive definiteness of
matrices modified by two matrices of
rank one . . . . . . . . . . . . . . . . 169--184
J. F. B. M. Kraaijevanger A characterization of Lyapunov diagonal
stability using Hadamard products . . . 245--254
Emil Klafszky and
Tamás Terlaky The role of pivoting in proving some
fundamental theorems of linear algebra 97--118
Mou Cheng Zhang On the maximal subgroup of the semigroup
of generalized circulant Boolean
matrices . . . . . . . . . . . . . . . . 229--243
Yinyu Ye and
Panos M. Pardalos A class of linear complementarity
problems solvable in polynomial time . . 3--17
Robert M. Freund Theoretical efficiency of a
shifted-barrier-function algorithm for
linear programming . . . . . . . . . . . 19--41
D. den Hertog and
C. Roos and
T. Terlaky A potential-reduction variant of
Renegar's short-step path-following
method for linear programming . . . . . 43--68
Panos M. Pardalos and
Yinyu Ye and
Chi-Geun Han Algorithms for the solution of quadratic
knapsack problems . . . . . . . . . . . 69--91
Michael J. Todd The affine-scaling direction for linear
programming is a limit of
projective-scaling directions . . . . . 93--105
Robert J. Vanderbei Splitting dense columns in sparse linear
systems . . . . . . . . . . . . . . . . 107--117
K. Kim and
J. L. Nazareth The decomposition principle and
algorithms for linear programming . . . 119--133
Masakazu Kojima and
Nimrod Megiddo The relation between the path of centers
and Smale's regularization of the linear
programming problem . . . . . . . . . . 135--139
Kathryn Turner Computing Projections for the Karmarkar
Algorithm . . . . . . . . . . . . . . . 141--154
Shinji Mizuno $ {O}(n^\rho {L})$-iteration and $
{O}(n^3 {L})$-operation potential
reduction algorithms for linear
programming . . . . . . . . . . . . . . 155--168
K. O. Kortanek and
Florian Potra and
Yinyu Ye On some efficient interior point methods
for nonlinear convex programming . . . . 169--189
Irvin J. Lustig and
Roy E. Marsten and
David F. Shanno Computational experience with a
primal-dual interior point method for
linear programming . . . . . . . . . . . 191--222
Sanjay Mehrotra On finding a vertex solution using
interior point methods . . . . . . . . . 233--253
Stefano Herzel and
Maria Cristina Recchioni and
Francesco Zirilli A quadratically convergent method for
linear programming . . . . . . . . . . . 255--289
David M. Gay Massive memory buys little speed for
complete, in-core sparse Cholesky
factorizations on some scalar computers 291--314
Paul D. Domich and
Paul T. Boggs and
Janet E. Rogers and
Christoph Witzgall Optimizing over three-dimensional
subspaces in an interior-point method
for linear programming . . . . . . . . . 315--342
R. A. Tapia and
Yin Zhang An optimal-basis identification
technique for interior-point linear
programming algorithms . . . . . . . . . 343--363
Kurt M. Anstreicher On monotonicity in the scaled potential
algorithm for linear programming . . . . 223--232
S. M. Rump Estimation of the sensitivity of linear
and nonlinear algebraic problems . . . . 1--34
Jin Chuan Hou On operator inequalities and linear
combinations of operators . . . . . . . 35--51
Juan-Enrique Martínez-Legaz and
Ivan Singer Compatible preorders and linear
operators on $ {\bf R}^n $ . . . . . . . 53--66
Matja\vz Omladi\vc and
Peter \vSemrl Spectrum-preserving additive maps . . . 67--72
H. Osaka Indecomposable positive maps in
low-dimensional matrix algebras . . . . 73--83
Ji Guang Sun Perturbation expansions for invariant
subspaces . . . . . . . . . . . . . . . 85--97
Carsten Scherer The solution set of the algebraic
Riccati equation and the algebraic
Riccati inequality . . . . . . . . . . . 99--122
K. T. Arasu and
Willem H. Haemers and
Dieter Jungnickel and
Alexander Pott Matrix constructions of divisible
designs . . . . . . . . . . . . . . . . 123--133
S. J. Lee and
M. Z. Nashed Normed linear relations: domain
decomposability, adjoint subspaces, and
selections . . . . . . . . . . . . . . . 135--159
Peter Nylen and
Tin Yau Tam Numerical range of a doubly stochastic
matrix . . . . . . . . . . . . . . . . . 161--176
Mohamed Barraa and
Bernard Charles Sous-espaces invariants d'un opérateur
nilpotent sur un espace de Banach.
(French) [Invariant subspaces of a
nilpotent operator on a Banach space] 177--182
H. Väliaho A polynomial-time test for $
{M}$-matrices . . . . . . . . . . . . . 183--192
Artibano Micali and
Moussa Ouattara Dupliquée d'une alg\`ebre et le théor\`eme
d'Etherington. (French) [Duplication of
an algebra and Etherington's theorem] 193--207
Jennifer Ryan Decomposing finitely generated integral
monoids by elimination . . . . . . . . . 209--217
A. Hadjidimos and
A. K. Yeyios Some recent results on the modified SOR
theory . . . . . . . . . . . . . . . . . 5--21
Douglas James Order-reducing conjugate gradients
versus block AOR for constrained
least-squares problems . . . . . . . . . 23--43
Josep E. Peris A new characterization of
inverse-positive matrices . . . . . . . 45--58
Shmuel Friedland Revisiting matrix squaring . . . . . . . 59--63
Pierre Semal Iterative algorithms for large
stochastic matrices . . . . . . . . . . 65--103
Miron Tismenetsky A decomposition of Toeplitz matrices and
optimal circulant preconditioning . . . 105--121
Ananda D. Gunawardena and
S. K. Jain and
Larry Snyder Modified iterative methods for
consistent linear systems . . . . . . . 123--143
Kimon Kontovasilis and
Robert J. Plemmons and
William J. Stewart Block cyclic SOR for Markov chains with
$p$-cyclic infinitesimal generator . . . 145--223
Biswa Nath Datta and
Youcef Saad Arnoldi Methods for Large Sylvester-Like
Observer Problems, and an Associated
Algorithm for Partial Spectrum
Assignment . . . . . . . . . . . . . . . 225--244
A. V. Knyazev and
A. L. Skorokhodov On Exact Estimates of the Convergence
Rate of the Steepest Ascent Method in
the Symmetric Eigenvalue Problem . . . . 245--257
Roland Freund On polynomial preconditioning and
asymptotic convergence factors for
indefinite Hermitian matrices . . . . . 259--288
Ronald B. Morgan Computing Interior Eigenvalues of Large
Matrices . . . . . . . . . . . . . . . . 289--309
L. Elsner and
M. Neumann and
B. Vemmer The effect of the number of processors
on the convergence of the parallel block
Jacobi method . . . . . . . . . . . . . 311--330
M. Tismenetsky A new preconditioning technique for
solving large sparse linear systems . . 331--353
Gerhard Starke and
Wilhelm Niethammer SOR for $ {AX} - {XB} = {C} $ . . . . . 355--375
Dianne P. O'Leary Yet another polynomial preconditioner
for the conjugate gradient algorithm . . 377--388
Lothar Reichel The application of Leja points to
Richardson iteration and polynomial
preconditioning . . . . . . . . . . . . 389--414
William F. Trench Numerical solution of the eigenvalue
problem for efficiently structured
Hermitian matrices . . . . . . . . . . . 415--432
Yong Zhong Song Comparisons of nonnegative splittings of
matrices . . . . . . . . . . . . . . . . 433--455
Martin Hanke and
Michael Neumann and
Wilhelm Niethammer On the spectrum of the SOR operator for
symmetric positive definite matrices . . 457--472
De Ren Wang On the convergence of the parallel
multisplitting AOR algorithm . . . . . . 473--486
Amit Bhaya and
Eugenius Kaszkurewicz and
Francisco Mota Asynchronous block-iterative methods for
almost linear equations . . . . . . . . 487--508
Tsun-Zee Mai Composite adaptive procedure for solving
large sparse linear systems . . . . . . 509--534
Z. Strako\vs On the real convergence rate of the
conjugate gradient method . . . . . . . 535--549
J. de Pillis A parallelizable SOR-like method:
systems with plus-shaped and linear
spectra . . . . . . . . . . . . . . . . 551--582
Monga-Made Magolu and
Yvan Notay On the conditioning analysis of block
approximate factorization methods . . . 583--599
Alvaro R. De Pierro and
Alfredo N. Iusem On the convergence of SOR- and JOR-type
methods for convex linear
complementarity problems . . . . . . . . 601--614
Paul E. Saylor and
Dennis C. Smolarski Implementation of an adaptive algorithm
for Richardson's method . . . . . . . . 615--646
I. E. Kaporin and
L. Yu. Kolotilina and
A. Yu. Yeremin Block SSOR preconditionings for
high-order $ 3 D $ FE systems. II.
Incomplete BSSOR preconditionings . . . 647--674
Sabine Van Huffel Iterative algorithms for computing the
singular subspace of a matrix associated
with its smallest singular values . . . 675--709
Yvan Notay Conditioning analysis of modified block
incomplete factorizations . . . . . . . 711--722
Victor Eijkhout Analysis of parallel incomplete point
factorizations . . . . . . . . . . . . . 723--740
Angelika Bunse-Gerstner and
Ludwig Elsner Schur parameter pencils for the solution
of the unitary eigenproblem . . . . . . 741--778
Ivo Marek and
Daniel B. Szyld Pseudoirreducible and pseudoprimitive
bounded operators . . . . . . . . . . . 779--791
Achiya Dax A row relaxation method for large $
\ell_1 $ problems . . . . . . . . . . . 793--818
Jerome Dancis The optimal $ \omega $ is not best for
the SOR iteration method . . . . . . . . 819--845
William H. Gustafson Modules and matrices . . . . . . . . . . 3--19
Raymond Heitmann and
Roger Wiegand Direct sums of ideals . . . . . . . . . 21--36
Lawrence S. Levy Direct-sum cancellation of submodule
systems . . . . . . . . . . . . . . . . 37--48
Robert M. Guralnick Similarity of matrices over commutative
rings . . . . . . . . . . . . . . . . . 55--68
David Chillag Nonnegative matrices, Brauer characters,
normal subsets, and powers of
representation modules . . . . . . . . . 69--99
Bostwick F. Wyman and
Michael K. Sain and
Giuseppe Conte and
Anna-Maria Perdon Poles and zeros of matrices of rational
functions . . . . . . . . . . . . . . . 113--139
James Brewer and
Lee Klingler The ring of integer-valued polynomials
of a semi-local principal-ideal domain 141--145
James Brewer and
Lee Klingler On the pole-shifting problem for
noncommutative rings . . . . . . . . . . 147--159
Dennis R. Estes Factorization in hereditary orders . . . 161--164
William A. Adkins Normal matrices over Hermitian discrete
valuation rings . . . . . . . . . . . . 165--174
James T. Campbell and
Elizabeth C. Trouy When are two elements of $ {\rm GL}(2,
{\bf Z}) $ similar . . . . . . . . . . . 175--184
Surjeet Singh and
Hassan Al-Zaid On a canonical form for recurring
sequences . . . . . . . . . . . . . . . 185--194
K. R. Fuller and
W. K. Nicholson and
J. F. Watters Universally reflexive algebras . . . . . 195--201
Carlos A. Berenstein and
Daniele C. Struppa Recent improvements in the complexity of
the effective Nullstellensatz . . . . . 203--215
L. Le Bruyn and
M. Van den Bergh Algebraic properties of linear cellular
automata . . . . . . . . . . . . . . . . 217--234
Wojciech Kucharz Simultaneous diagonalization of an
algebraic family of matrices . . . . . . 49--53
Donald G. James Generators for orthogonal groups of
unimodular lattices . . . . . . . . . . 101--111
Osvaldo Maria Grasselli and
Sauro Longhi The geometric approach for linear
periodic discrete-time systems . . . . . 27--60
Feng Jiang and
Rong Fu Zhou An error bound on the AOR method for
solving linear systems . . . . . . . . . 61--75
B. V. Rajarama Bhat On greatest common divisor matrices and
their applications . . . . . . . . . . . 77--97
Newton R. Santos Applying the JII, JII-SI, and CG methods
to two classes of linear problems . . . 99--127
Cristian Mallol and
Artibano Micali and
Moussa Ouattara Sur les alg\`ebres de Bernstein. IV.
(French) [On Bernstein algebras. IV] . . 1--26
Giuseppe Buffoni On the inverse of a matrix with positive
definite symmetric component . . . . . . 1--10
Isabel Cabral and
Fernando C. Silva Unified theorems on completions of
matrix pencils . . . . . . . . . . . . . 43--54
Alan Edelman The distribution and moments of the
smallest eigenvalue of a random matrix
of Wishart type . . . . . . . . . . . . 55--80
Joseph A. Ball and
Marek Rakowski Null-pole subspaces of nonregular
rational matrix functions . . . . . . . 81--120
Asher Ben-Artzi and
Dragomir \vZ. \Dbarjokovi\vc and
Leiba Rodman Totally isotropic subspaces for pairs of
Hermitian forms and applications to
Riccati equations . . . . . . . . . . . 121--128
Jon Lee and
Yew Sing Lee A spectral method for concordant
polyhedral faces . . . . . . . . . . . . 11--41
R. J. Stern and
H. Wolkowicz Results on invariant cones . . . . . . . 1--26
C. Vuik and
H. A. Van der Vorst A comparison of some GMRES-like methods 131--162
Ingrid Daubechies and
Jeffrey C. Lagarias Sets of matrices all infinite products
of which converge . . . . . . . . . . . 227--263
R. C. Thompson High, Low, and Quantitative Roads in
Linear Algebra . . . . . . . . . . . . . 23--64
Lloyd N. Trefethen and
L. Reichel Eigenvalues and pseudo-eigenvalues of
Toeplitz matrices . . . . . . . . . . . 153--185
G. Poole and
L. Neal Gaussian Elimination: When is Scaling
Beneficial? . . . . . . . . . . . . . . 309--324
E. Anderson and
Z. Bai and
J. Dongarra Generalized $ Q R $ factorization and
its applications . . . . . . . . . . . . 243--271
Georg Heinig Inverse Problems for Hankel and Toeplitz
Matrices . . . . . . . . . . . . . . . . 1
M. Gasca and
J. M. Pena Total Positivity and Neville Elimination 25
Scott J. Beslin Cofactor Matrices . . . . . . . . . . . 45
W. Sun The Interior and Closure of Strongly
Stable Matrices . . . . . . . . . . . . 53
K. Manjunatha Prasad and
R. B. Bapat The Generalized Moore--Penrose Inverse 59
Leonid Faybusovich Reduction to Generalized Hessenberg Form
and Inverse Spectral Problems . . . . . 71
Ulrike Flaschka and
Lin Wen-Wei and
Wu Jy-Liang A KQZ Algorithm for Solving
Linear-Response Eigenvalue Equations . . 93
Jerzy K. Baksalary and
Tarmo Pukkila A Note on Invariance of the Eigenvalues,
Singular Values, and Norms of Matrix
Products Involving Generalized Inverses 125
John Corning Carey The Riemann Hypothesis as a Sequence of
Surface to Volume Ratios . . . . . . . . 131
Gi-Sang Cheon and
Suk-Geun Hwang Maximization of a Matrix Function
Related to the Dittert Conjecture . . . 153
LeRoy B. Beasley and
Norman J. Pullman Polynomials Which Permute Matrices Over
Commutative Antinegative Semirings . . . 167
James K. Knowles On a Minimization Problem Associated
With Linear Dynamical Systems . . . . . 173
Michael P. Drazin Extremal Definitions of Generalized
Inverses . . . . . . . . . . . . . . . . 185
Ruey-Jen Jang and
Harold Dean Victory On Nonnegative Solvability of Linear
Integral Equations . . . . . . . . . . . 197
B. E. Cain and
S. A. Nelson Solutions to $ x - a x b = w $ . . . . . 229--232
D. J. Hartfiel Tracking in Matrix Systems . . . . . . . 233
Stanley S. Chang and
Li Chi-Kwong Certain Isometries on $ R^n $ . . . . . 251
Youcef Saad Review of ABS Projection Algorithms by
J. Abaffy and E. Spedicato . . . . . . . 267
LeRoy B. Beasley and
Debra A. S. Beasley Review of Linear Algebra and Its
Application, Volume 1: A First Course
and Linear Algebra and Its Application,
Volume 2: More Advanced, by D. H.
Griffel . . . . . . . . . . . . . . . . 269
V. Ptak Infinite Companion Matrices . . . . . . 65--95
Anonymous Preface . . . . . . . . . . . . . . . . 1
Daniel Hershkowitz The Height Characteristic of Block
Triangular Matrices . . . . . . . . . . 3
Naomi Shaked-Monderer and
Abraham Berman More on Extremal Positive Semidefinite
Doubly Stochastic Matrices . . . . . . . 17
Pal Rozsa and
Francesco Romani On Periodic Block-Tridiagonal Matrices 35
S. W. Hadley and
F. Rendl and
H. Wolkowicz Symmetrization of Nonsymmetric Quadratic
Assignment Problems and the
Hoffman-Wielandt Inequality . . . . . . 53--64
Bit-Shun Tam On the Structure of the Cone of Positive
Operators . . . . . . . . . . . . . . . 65
Adi Ben-Israel A Volume Associated With $ m \times n $
Matrices . . . . . . . . . . . . . . . . 87
Mark Krupnik Changing the Spectrum of an Operator by
Perturbation . . . . . . . . . . . . . . 113
Michael Gorodetsky Inversion of Quasitriangular Block
Toeplitz Matrices . . . . . . . . . . . 119
J. C. Willems and
P. A. Fuhrmann Stability Theory for High Order
Equations . . . . . . . . . . . . . . . 131
Moshe Roitman and
Zalman Rubinstein On Linear Recursions With Nonnegative
Coefficients . . . . . . . . . . . . . . 151
Yoav Yaacoby and
Peter R. Cappello Decoupling the Dimensions of a System of
Affine Recurrence Equations . . . . . . 157
Avram Sidi Development of Iterative Techniques and
Extrapolation Methods for Drazin Inverse
Solution of Consistent or Inconsistent
Singular Linear Systems . . . . . . . . 171
Abraham Berman and
Moshe Goldberg and
Daniel Hershkowitz Report: Haifa 1990 Conference on Matrix
Theory . . . . . . . . . . . . . . . . . 205
Zha Hongyuan A Numerical Algorithm for Computing the
Restricted Singular Value Decomposition
of Matrix Triplets . . . . . . . . . . . 1
Josep Ferrer and
Ferran Puerta Similarity of Non-everywhere Defined
Linear Maps . . . . . . . . . . . . . . 27
Shougen Wang Computing the Eigenvalues of Modified
Symmetric Matrices . . . . . . . . . . . 57
Robert E. Atalla Characterization of Weakly Monotone
Stochastic Matrices . . . . . . . . . . 65
H. Valiaho Determining Subspaces on Which a Matrix
Is Nonnegative Definite . . . . . . . . 71
Bart L. R. De Moor On the Structure and Geometry of the
Product Singular Value Decomposition . . 95
Zbigniew Jelonek Maximal Sets of Linearly Independent
Vectors in a Free Module Over a
Commutative Ring . . . . . . . . . . . . 137
Tomasz Szulc A Nonsingularity Criterion for Complex
Matrices . . . . . . . . . . . . . . . . 145
Moshe Haviv and
Ya'acov Ritov and
Uriel G. Rothblum Taylor Expansions of Eigenvalues of
Perturbed Matrices With Applications to
Spectral Radii of Nonnegative Matrices 159
Arie Leizarowitz On Infinite Products of Stochastic
Matrices . . . . . . . . . . . . . . . . 189
Lieba Rodman and
Tamir Shalom Jordan Forms of Completions of Partial
Upper Triangular Matrices . . . . . . . 221
S. W. Drury A Counterexample to a Question of
Merikoski and Virtanen on the Compounds
of Unitary Matrices . . . . . . . . . . 251
Roman Zymslony and
Hilmar Drygas Jordan Algebras and Bayesian Quadratic
Estimation of Variance Components . . . 259
Marko Razpet A Relative of the Shift Operator . . . . 1
Zhong Xu On Moore--Penrose Inverses of Toeplitz
Matrices . . . . . . . . . . . . . . . . 9
Richard D. Hill and
Steven R. Waters On kappa-Real and kappa-Hermitian
Matrices . . . . . . . . . . . . . . . . 17
Kung-Mei Chao and
Song Wong Chi Applications of $M$-Matrices to
Majorization . . . . . . . . . . . . . . 31
William C. Waterhouse Displacement Operators Relative to Group
Matrices . . . . . . . . . . . . . . . . 41
Boris Mirman A Source of Counterexamples in Operator
Theory and How to Construct Them . . . . 49
Marcelo D. Fragoso and
Carlos E. de Souza Maximal Solution of a Certain Class of
Periodic Riccati Differential Equations 61
Harry Gingold and
Po-Fang Hsieh Globally Analytic Triangularization of a
Matrix Function . . . . . . . . . . . . 75
Ye Dongyi When Is the Greatest Eigenvalue of a
Parametrized Symmetric Matrix a Convex
Function of the Parameter? . . . . . . . 103
C. Bergthaller and
Ivan Singer The Distance to a Polyhedron . . . . . . 111
D. A. Gregory and
S. J. Kirkland and
J. J. Pullman Row-Stochastic Matrices With a Common
Left Fixed Vector . . . . . . . . . . . 131
Isabel Cabral and
Fernando C. Silva Similarity Invariants of Completions of
Submatrices . . . . . . . . . . . . . . 151
Pei Yuan Wu Which Linear Transformations Have
Isomorphic Hyperinvariant Subspace
Lattices? . . . . . . . . . . . . . . . 163
D. de Caen and
D. A. Gregory and
S. J. Kirkland and
N. J. Pullman and
J. S. Maybee Algebraic Multiplicity of the
Eigenvalues of a Tournament Matrix . . . 179
M. Kuijper and
J. M. Schumacher Realization and Partial Fractions . . . 195
U. Helmke and
J. B. Moore Singular-Value Decomposition via
Gradient and Self-Equivalent Flows . . . 223
Ren-Cang Li On Eigenvalues of a Rayleigh Quotient
Matrix . . . . . . . . . . . . . . . . . 249
Yi-ming Gao and
Xiao-hui Wang Criteria for Generalized Diagonally
Dominant Matrices and $M$-Matrices . . . 257
Yongzhong Song Lower Bounds for the Perron Root of a
Nonnegative Matrix . . . . . . . . . . . 269
Elliot Linzer On the Stability of Solution Methods for
Band Toeplitz Systems . . . . . . . . . 1
G. A. Watson Characterization of the Subdifferential
of Some Matrix Norms . . . . . . . . . . 33
Miroslav Fielder and
Zdenek Vavrin A Subclass of Symmetric Loewner Matrices 47
Pentti Haukkanen Higher-Dimensional GCD Matrices . . . . 53
Richard W. Cottle and
Sy-Ming Guu Two Characterizations of Sufficient
Matrices . . . . . . . . . . . . . . . . 65
J. R. Bar-on and
C. W. Gray A Generalized Polar Decomposition . . . 75
J. Zhu and
C. H. Morales On Linear Ordinary Differential
Equations With Functionally Commutative
Coefficient Matrices . . . . . . . . . . 81
Catherine M. Kunicki and
Richard D. Hill Normal-Preserving Linear Transformations 107
James R. Angelos and
Carl C. Cowen and
Sivaram K. Narayan Triangular Truncation and Finding the
Norm of a Hadamard Multiplier . . . . . 117
Jun Ichi Fujii Operator Means and Range Inclusion . . . 137
Rafael Bru and
Graciano de Oliveira and
Jose Vitoria Report: Meeting of Matrix Analysis and
Applications, 3--5 October 1989,
Universidad Politecnica de Valencia,
Valencia, Spain . . . . . . . . . . . . 147
Fuad Kittaneh A Note on the Arithmetic-Geometric-Mean
Inequality for Matrices . . . . . . . . 1
Charles A. Hall and
Ye Xiu Construction of Null Bases for the
Divergence Operator Associated With
Incompressible Navier--Stokes Equations 9
Svatopluk Poljak Minimum Spectral Radius of a Weighted
Graph . . . . . . . . . . . . . . . . . 53
Curtis Greene Proof of a Conjecture on Immanants of
the Jacobi-Trudi Matrix . . . . . . . . 65
Miao Jianming and
Adi Ben-Israel On Principal Angles Between Subspaces in
$ R^n $ . . . . . . . . . . . . . . . . 81
Arthur M. DuPre and
Seymour Kass Distance and Parallelism Between Flats
in $ R^n $ . . . . . . . . . . . . . . . 99
Chen Ling and
Wong Chi Song Inequalities for Singular Values and
Traces . . . . . . . . . . . . . . . . . 109
Erxiong Jiang A Note on the Double-Shift QL Algorithm 121
J. Pasupathy and
R. A. Damodar The Gaussian Toeplitz Matrix . . . . . . 133
B. Uhrin Touching Points of a Star-Shaped Set
With an Affine Subspace . . . . . . . . 149
Daniel Hershkowitz Recent Directions in Matrix Stability 161
Shangjun Yang A Note on the Exponent Set of Primitive
Minimally Strong Digraphs . . . . . . . 187
P. Turkowski Structure of Real Lie Algebras . . . . . 197
Je Cho Sung and
Kye Seung-Hyeok and
Ge Lee Sa Generalized Choi Maps in
Three-Dimensional Matrix Algebra . . . . 213
Wilbur N. Dale and
Malcolm C. Smith A Note on Eventually Time-Invariant
Systems . . . . . . . . . . . . . . . . 225
Chin Chang and
Tryphon T. Georgiou On a Schur-Algorithm Based Approach to
Spectral Factorization: Connection With
the Riccati Equation . . . . . . . . . . 233
James V. Burke and
Michael L. Overton Stable Perturbations of Nonsymmetric
Matrices . . . . . . . . . . . . . . . . 249
Stephen G. Nash Review of Fundamentals of Matrix
Computations by David S. Watkins . . . . 275
David Carlson and
Daniel Hershkowitz and
Dafna Shasha Block Diagonal Semistability Factors and
Lyapunov Semistability of Block
Triangular Matrices . . . . . . . . . . 1
Y. P. Hong and
C.-T Pan A Lower Bound for the Smallest Singular
Value . . . . . . . . . . . . . . . . . 27
Kenneth D. Clark Decomposition of Hessenberg DAE Systems
to State Space Form . . . . . . . . . . 33
Marcin Paprzycki Comparisons of Gaussian Elimination
Algorithms on a Cray Y-MP . . . . . . . 57
Shmuel Friedland Lower Bounds for the First Eigenvalue of
Certain $M$-Matrices Associated With
Graphs . . . . . . . . . . . . . . . . . 71
Richard E. Faulkenberry The Continuous Kernel of a Nonsquare
Rational Matrix Function . . . . . . . . 85
Jean H. Bevis and
Frank J. Hall Nested Range Conditions for $ L U $
Factorizations of Integer Matrices . . . 97
Daniel L. Boley and
Tong J. Lee and
Franklin T. Luk The Lanczos Algorithm and Hankel Matrix
Factorization . . . . . . . . . . . . . 109--135
Leonid Gurvits and
Leiba Rodman and
Tamir Shalom Controllability and Completion of
Partial Upper Triangular Matrices Over
Rings . . . . . . . . . . . . . . . . . 135
Richard A. Brualdi and
Hwang Geum-Sug Generalized Transitive Tournaments and
Doubly Stochastic Matrices . . . . . . . 151
James Nagy and
Robert J. Plemmons An Inverse Factorization Algorithm for
Linear Prediction . . . . . . . . . . . 169
S. L. Chung and
F. B. Hanson and
H. H. Xu Parallel Stochastic Dynamic Programming:
Finite Element Methods . . . . . . . . . 197
D. Calvetti and
L. Reichel A Chebychev-Vandermonde Solver . . . . . 219
James R. Bunch and
Ricardo D. Fierro A Constant-False-Alarm-Rate Algorithm 231
Thomas J. Laffey and
Eleanor Meehan An Extension of a Factorization Theorem
of Wedderburn to Matrix Rings . . . . . 243
Richard A. Brualdi and
Chan Jung Hyung Maximum and Minimum Jump Number of
Posets From Matrices . . . . . . . . . . 261
D. Y. Hu and
L. Reichel Krylov-Subspace Methods for the
Sylvester Equation . . . . . . . . . . . 283
G. S. Ammar and
W. B. Gragg and
L. Reichel Downdating of Szeg\Ho Polynomials and
Data-Fitting Applications . . . . . . . 315
Roger A. Horn and
Roy Mathias Block-Matrix Generalizations of Schur's
Basic Theorems on Hadamard Products . . 337
P. Amodio and
L. Brugnano Parallel Factorization and Parallel
Solvers for Tridiagonal Linear Systems 347
Miron Tismenetsky Some Properties of Solutions of
Yule-Walker Type Equations . . . . . . . 1
Robert L. Ellis and
David C. Lay Factorization of Finite Rank Hankel and
Toeplitz Matrices . . . . . . . . . . . 19
Tomasz Szulc On a Criterion for the Nonsingularity of
Complex Matrices . . . . . . . . . . . . 39
Aleksander Simonic Matrix Groups With Positive Spectra . . 57
Ji-Guang Sun Rounding-Error and Perturbation Bounds
for the Cholesky and $ L D L^{\rm T} $
Factorizations . . . . . . . . . . . . . 77--98
Aurelian Gheondea One-Step Completions of Hermitian
Partial Matrices With Minimal Negative
Signature . . . . . . . . . . . . . . . 99
V. Hussin and
P. Winternitz and
H. Zassenhaus Maximal Abelian Subalgebras of
Pseudoorthogonal Lie Algebras . . . . . 125
Ivo Marek Collatz--Wielandt Numbers in General
Partially Ordered Spaces . . . . . . . . 165
Russell Merris Unimodular Equivalence of Graphs . . . . 181
B. Beckermann and
A. Neuber and
G. Muhlbach Shanks's Transformation Revisited . . . 191
A. J. Pryde A Bauer--Fike Theorem for the Joint
Spectrum of Commuting Matrices . . . . . 221
R. B. Bapat and
G. Constantine An Enumerating Function for Spanning
Forests with Color Restrictions . . . . 231
Larry Neal and
George Poole A Geometric Analysis of Gaussian
Elimination. II . . . . . . . . . . . . 239--264
Raphael Loewy Review of Perturbation Bounds for Matrix
Eigenvalues by R. Bhatia . . . . . . . . 265
Bryan L. Shader Review of Combinatorial Matrix Theory by
Richard A. Brualdi and Herbert J. Ryser 273
Miroslav Fiedler and
Thomas L. Markham A classification of matrices of class $
{Z} $ . . . . . . . . . . . . . . . . . 115--124
Joel V. Brawley and
Gary L. Mullen Scalar Polynomial Functions on the
Nonsingular Matrices Over a Finite Field 1
Robert Brawer and
Magnus Pirovino The Linear Algebra of the Pascal Matrix 13
Lifeng Ding Separating Vectors and Reflexivity . . . 37
Massoud Malek Notes on Permanental and Subpermanental
Inequalities . . . . . . . . . . . . . . 53
Keith Bourque and
Steve Ligh On GCD and LCM Matrices . . . . . . . . 65
K. H. Kim and
F. W. Roush Automorphisms of lambda-Matrices . . . . 75
Charles Lanski An Identity for Matrix Rings With
Involution . . . . . . . . . . . . . . . 91
P. J. Maher Some Norm Inequalities Concerning
Generalized Inverses . . . . . . . . . . 99
Desmond J. Higham and
Nicholas J. Higman Componentwise Perturbation Theory for
Linear Systems With Multiple Right-Hand
Sides . . . . . . . . . . . . . . . . . 111--130
John A. Holbrook Spectral Variation of Normal Matrices 131
Lei Wu The Re-Positive Definite Solutions to
the Matrix Inverse Problem $ A X = B $ 145
O. L. Mangasarian Global Error Bounds for Monotone Affine
Variational Inequality Problems . . . . 153
Barbu C. Kestenband Quadrics as Hyperplanes in Finite Affine
Geometries . . . . . . . . . . . . . . . 165
Max Bauer Dilatations and Continued Fractions . . 183
Bernhard A. Schmitt Perturbation Bounds for Matrix Square
Roots and Pythagorean Sums . . . . . . . 215--228
Vlad Ionescu and
Martin Weiss On Computing the Stabilizing of the
Discrete-Time Riccati Equation . . . . . 229
Daniel B. Szyld A Sequence of Lower Bounds for the
Spectral Radius of Nonnegative Matrices 239
Frank Uhlig Review of Topics in Matrix Analysis by
Roger A. Horn and Charles R. Johnson . . 243
A. A. Chernyak and
Z. A. Chernyak Joint Realization of $ (0, 1) $ Matrices
Revisited . . . . . . . . . . . . . . . 25--35
Georg Heinig and
Peter Jankowski Kernel Structure of Block Hankel and
Toeplitz Matrices and Partial
Realization . . . . . . . . . . . . . . 1
Stephen H. Friedberg and
Arnold J. Insel Hyponormal $ 2 \times 2 $ Matrices Are
Subnormal . . . . . . . . . . . . . . . 31
Robert E. Hartwig and
Raphael Loewy Maximal elements Under the Three Partial
Orders . . . . . . . . . . . . . . . . . 39
Katarina Cechlarova Eigenvectors in Bottleneck Algebra . . . 63
Ian Doust and
Werner J. Ricker Spectral Projections for Hermitian
Operators . . . . . . . . . . . . . . . 75
Jerome Dancis Positive Semidefinite Completions of
Partial Hermitian Matrices . . . . . . . 97
Tsung-Min Hwang and
Wen-Wei Lin and
Eugene K. Yang Rank Revealing $ L U $ Factorizations 115
George Labahn and
Tamir Shalom Inversion of Toeplitz Matrices With Only
Two Standard Equations . . . . . . . . . 143--158
Uriel G. Rothblum and
Stavros A. Zenios Scalings of Matrices Satisfying
Line-Product Constraints and
Generalizations . . . . . . . . . . . . 159
Stephen Kirkland and
Norman J. Pullman Boolean Spectral Theory . . . . . . . . 177
Yoo-Pyo Hong and
Roger A. Horn and
Chi-Kwong Li Linear Operators Preserving
$t$-Congruence on Matrices . . . . . . . 191
John S. Maybee and
D. D. Olesky and
Michael Tsatsomeros and
P. Van Den Driessche Combinatorial Eigenvalues of Matrices 213
Geir Naevdal and
Hugo J. Woerdeman Partial Matrix Contractions and
Intersections of Matrix Balls . . . . . 225
J. C. Lagarias A Lie Bracket Decomposition and Its
Application to Flows on Symmetric
Matrices . . . . . . . . . . . . . . . . 239
Jerzy K. Baksalary and
George P. H. Styan Preface . . . . . . . . . . . . . . . . 1
Sujit Kumar Mitra and
Robert E. Hartwig Partial Orders Based on Outer Inverses 3
Peter Semrl On Rank Additivity and the Polynomial
Equation $ p(A) = 0 $ . . . . . . . . . 21
James A. Calvin and
Richard L. Dykstra A Note on Maximizing a Special Concave
Function Subject to Simultaneous Loewner
Order Constraints . . . . . . . . . . . 37
K. Balasubramanian and
A. Dey and
P. Bhimasankaram Diagonally Range Dominant Matrices . . . 45
Haruo Yanai and
Yoshio Takane Canonical Correlation Analysis With
Linear Constraints . . . . . . . . . . . 75
Jorg Lauterbach and
Peter Stahlecker A Numerical Method for an Approximate
Minimax Estimator in Linear Regression 91
Erkki P. Liski On a Relationship Between Minimax-Linear
and Admissible Estimators in Linear
Regression . . . . . . . . . . . . . . . 109
Markku Nurhonen and
Simo Puntanen Effect of Deleting an Observation on the
Equality of the OLSE and BLUE . . . . . 131
G. Tsaklidis and
P.-C. G. Vassiliou Periodicity of Infinite Products of
Matrices With Some Negative Elements and
Row Sums Equal to One . . . . . . . . . 175
Jorma Kaarlo Merikoski and
Graciano De Oliveira On $k$-Major Norms and $k$-Minor
Antinorms . . . . . . . . . . . . . . . 197
S. W. Drury On Symmetric Functions of the
Eigenvalues of the Sum of Two Hermitian
Matrices . . . . . . . . . . . . . . . . 211
A.-M Parring About the Concept of the Matrix
Derivative . . . . . . . . . . . . . . . 223
Yasuko Chikuse Properties of Hermite and Laguerre
Polynomials in Matrix Argument and Their
Applications . . . . . . . . . . . . . . 237
Yasuko Chikuse Generalized Hermite and Laguerre
Polynomials in Multiple Symmetric Matrix
Arguments and Their Applications . . . . 261
Jerzy K. Baksalary and
Simo Puntanen and
Haruo Yanai Canonical Correlations Associated With
Symmetric Reflexive Generalized Inverses
of the Dispersion Matrix . . . . . . . . 61--74
Erkki P. Liski and
Simo Puntanen and
Song Gui Wang Bounds for the Trace of the Difference
of the Covariance Matrices of the OLSE
and BLUE . . . . . . . . . . . . . . . . 121--130
A. C. Georgiou and
P.-C. G. Vassiliou Periodicity of Asymptotically Attainable
Structures in Nonhomogeneous Markov
Systems . . . . . . . . . . . . . . . . 137--174
Alfredo N. Iusem and
Alvaro R. De Pierro A Characterization of the Set of Fixed
Points of Some Smoothed Operators . . . 1
George Labahn Inversion Components of Block
Hankel-like Matrices . . . . . . . . . . 7
Alexei Yu. Uteshev and
Sergei G. Shulyak Hermite's Method of Separation of
Solutions of Systems of Algebraic
Equations and Its Applications . . . . . 49
R. B. Bapat and
Donald W. Robinson The Moore--Penrose Inverse Over a
Commutative Ring . . . . . . . . . . . . 89
S. W. Drury and
B. Cload On the Determinantal Conjecture of
Marcus and de Oliveira . . . . . . . . . 105
Lily Kolotilina and
Ben Polman On Incomplete Block Factorization
Methods of Generalized SSOR type for
H-Matrices . . . . . . . . . . . . . . . 111
Ronald L. Smith Some Interlacing Properties of the Schur
Complement of a Hermitian Matrix . . . . 137
Lucas Jodar On the Nonhomogeneous Second-Order Euler
Operator Differential Equation: Explicit
Solutions . . . . . . . . . . . . . . . 145
Edward Bach and
Takayuki Furuta Counterexample to a Question on the
Operator Equation $ T(H^{1 / n}T)^n = K
$ . . . . . . . . . . . . . . . . . . . 157
R. O. Hill, Jr. Certain Rank $ 2 K $ Updates Act Like
Rank $K$ . . . . . . . . . . . . . . . . 173--174
Mark Copper On the Gauss Decomposition of a Matrix 175
Arno Van Den Essen and
T. Parthasarathy Polynomial Maps and a Conjecture of
Samuelson . . . . . . . . . . . . . . . 191
Peter M. Gibson Permanental Mates of Doubly Stochastic
Matrices . . . . . . . . . . . . . . . . 197
Che-Man Cheng Cases of Equality for a Singular Value
Inequality for the Hadamard Product . . 209
M. Pilar Benito Clavijo Lie Alegebras With a Small Number of
Ideals . . . . . . . . . . . . . . . . . 233
F. O. Farid The Spectral Variation for Two Matrices
With Spectra on Two Intersecting Lines 251
Wen Li On Regular Splittings and Graph
Compatible Splittings of an $M$-Matrix 163--172
Charles R. Johnson and
John S. Maybee Vanishing Minor Conditions for Inverse
Zero Patterns . . . . . . . . . . . . . 1
T. Constantinescu and
A. Gheondea The Negative Signature of Some Hermitian
Matrices . . . . . . . . . . . . . . . . 17
Hitay Ozbay and
Malcolm C. Smith and
Allen Tannenbaum Mixed-Sensitivity Optimization for a
Class of Unstable Infinite-Dimensional
Systems . . . . . . . . . . . . . . . . 43
T. N. T. Goodman and
A. Sharma Factorization of Totally Positive,
Symmetric, Periodic, Banded Matrices
With Applications . . . . . . . . . . . 85
Natalia Bebiano and
Chi-Kwong Li and
Joao Da Providencia Product of Diagonal Elements of Matrices 185
Luigi Salce and
Paolo Zanardo Completely Positive Matrices and
Positivity of Least Squares Solutions 201
P. G. Vroegindeweij Algebraic Structures on Space-Time
Algebra . . . . . . . . . . . . . . . . 217
J. W. Nieuwenhuis Restricted Sums of Linear Systems and
Transfer-like Sums . . . . . . . . . . . 237
Daniel Ralph A New Proof of Robinson's Homeomorphism
Theorem for PL-Normal Maps . . . . . . . 249
Steve Kirkland On the Spectrum of a Leslie Matrix With
a Near-Periodic Fecundity Pattern . . . 261
Daniel Alpay and
Harry Dym On a New Class of Reproducing Kernel
Spaces and a New Generalization of the
Iohvidov Laws . . . . . . . . . . . . . 109--183
Enzhong Fu and
Thomas L. Markham On the Eigenvalues and Diagonal Entries
of a Hermitian Matrix . . . . . . . . . 7
Rajendra Bhatia and
Tirthankar Bhattacharyya A Generalization of the Hoffman-Wielandt
Thorem . . . . . . . . . . . . . . . . . 11
Magolu Monga-Made Analytical Bounds for Block Approximate
Factorization Methods . . . . . . . . . 33
George-Othon Glentis and
Nicholas Kalouptsidis Efficient Algorithms for the Solution of
Block Linear Systems With Toeplitz
Entries . . . . . . . . . . . . . . . . 85
D. A. Gregory and
S. Kirkland and
N. J. Pullman Power Convergent Boolean Matrices . . . 105
Miroslav Fiedler Structure Ranks of Matrices . . . . . . 119
Miroslav Fiedler and
Thomas L. Markham A Characterization of the Moore--Penrose
Inverse . . . . . . . . . . . . . . . . 129
Wenchao Huang On the Sandwich Semigroups of Circulant
Boolean Matrices . . . . . . . . . . . . 135
Masatoshi Fujii and
Takayuki Furuta and
Eizaburo Kamei Furuta's Inequality and Its Application
to Ando's Thorem . . . . . . . . . . . . 161
Teresa Cortes A Note on the Latice Definability of
Bernstein Algebras . . . . . . . . . . . 203
Joel E. Cohen and
Yoh Iwasa and
Gh. Rautu and
Mary Beth Ruskai and
Eugene Seneta Relative Entropy Under Mappings by
Stochastic Matrices . . . . . . . . . . 211
Bernd Fritzsche and
Bernd Kirstein Inverse Problems for Positive Hermitian
Block Toeplitz Matrices and
Nondegenerate Schur Sequences . . . . . 237
G. Corach and
H. Porta and
L. Recht Jacobi Fields on Space of Positive
Operators . . . . . . . . . . . . . . . 271
Joseph R. Siler and
Richard D. Hill Reflectors on Vector Spaces . . . . . . 1--6
Isaiah L. Kantor Description of the Optimal Solution Set
of the Linear Programming Problem and
the Dimension Formula . . . . . . . . . 19--32
Arieh Lev Products of cyclic conjugacy classes in
the groups $ {\rm PSL}(n, F) $ . . . . . 59--83
Xiao Wen Chang and
Jia Song Wang The symmetric solution of the matrix
equations $ A X + Y A = C $, $ A X
A^{\sf T} + B Y B^{\sf T} = C $, and $
(A^{\sf T}X A, B^{\sf T}X B) = (C, D) $ 171--189
Ren Cang Li A Perturbation Bound for Definite
Pencils . . . . . . . . . . . . . . . . 191--202
Richard Brualdi From the Editor-in-Chief . . . . . . . . 1
R. McEachin Closing the Gap in a Subspace
Perturbation Bound . . . . . . . . . . . 7--16
Erich Bohl and
Peter Lancaster Perturbation of Spectral Inverses
Applied to a Boundary Layer Phenomenon
Arising in Chemical Networks . . . . . . 35
Shu-An Hu and
James F. Hurley and
Tin-Yau Tam Nonconvexity of the Permanental
Numerical Range . . . . . . . . . . . . 121
L. Yu. Kolotilina Lower Bounds for the Perron Root of a
Nonnegative Matrix . . . . . . . . . . . 133
Carolyn Eschenbach Idempotence for Sign-Pattern Matrices 153
Michael Eiermann Fields of Values and Iterative Methods 167
Gerhard Starke Fields of Values and the ADI Method for
Non-normal Matrices . . . . . . . . . . 199
R. Baeza-Vega and
R. Benavides Associative Bilinear Forms in Some Baric
Algebras . . . . . . . . . . . . . . . . 219
Guorong Wang and
Yuhua Lin A New Extension of Leverrier's Algorithm 227
Wenxin Ma The Weak Identity $ T_2 n $ for $ n
\times n $ Symmetric Matrices . . . . . 239
Charles R. Johnson and
D. D. Olesky and
Michael Tsatsomeros and
P. Van Den Driessche Spectra With Positive Elementary
Symmetric Functions . . . . . . . . . . 247
L. Elsner and
M. Neumann Monotonic Sequences and Rates of
Convergence of Asynchronized Iterative
Methods . . . . . . . . . . . . . . . . 17--33
André C. M. Ran and
Leiba Rodman and
Jonathan E. Rubin Direct Complements of Invariant
Lagrangian Subspaces and Minimal
Factorizations of Skew-Symmetric
Rational Matrix Functions . . . . . . . 61--94
Jean-Pierre Mongeau and
Gilles Deslauriers and
Serge Dubuc Continuous and Differentiable
Multidimensional Iterative Interpolation 95--120
William Watkins The Cone of Positive Generalized Matrix
Functions . . . . . . . . . . . . . . . 1
Daniel J. Scully Maximal Rank-One Spaces of Matrices Over
Chain Semirings. II $ (u, i)$-Spaces . . 29
Helena Albuquerque and
Alberto Elduque On the Generators of Lie Superalgebras 45
R. Gow and
M. C. Tamburini Generation of $ {\rm SL}(n, Z) $ by a
Jordan Unipotent Matrix and Its
Transpose . . . . . . . . . . . . . . . 63
Alan C. Wilde Nearly Commuting Projections . . . . . . 73
Wang Yan Two Enumeration Theorems in Singular
Symplectic Geometry and a Class of PBIB
Designs . . . . . . . . . . . . . . . . 85
Francisco Marcellan and
Gabriela Sansigre On a Class of Matrix Orthogonal
Polynomials on the Real Line . . . . . . 97
Fumio Hiai and
Denes Petz The Golden-Thompson Trace Inequality is
Complemented . . . . . . . . . . . . . . 153
Zevi Miller and
Dan Pritikin Eigenvalues and Separation in Graphs . . 187
J. Kastner and
Ch Zylka On Generalized Uniformly Tapered
Matrices . . . . . . . . . . . . . . . . 221
G. Rousseau An Expansion for Certain Symmetric
Determinants . . . . . . . . . . . . . . 233
D. W. Richardson and
B. D. O. Anderson and
N. K. Bose Matrix-Fraction Description From
Frequency Samples . . . . . . . . . . . 251
Richard Arens and
Moshe Goldberg Quadrative Seminorms and Jordan
Structures on Algebras . . . . . . . . . 269
Ton Geerts Solvability Conditions, Consistency, and
Weak Consistency for Linear
Differential-Algebraic Equations and
Time-Invariant Singular Systems: The
General Case . . . . . . . . . . . . . . 111--130
Charles R. Johnson and
Peter M. Nylen The Sprinkling Problem . . . . . . . . . 131--152
Paul Yiu Maximal Normal Sets of $n$-Planes in $
\mbox {\bf R}^{2n}$ . . . . . . . . . . 241--249
R. A. Bailey and
C. A. Rowley Maximal Rank of an Element of a Tensor
Product . . . . . . . . . . . . . . . . 1
I. Gohberg and
M. A. Kaashock and
F. van Schagen On the Local Theory of Regular Analytic
Matrix Functions . . . . . . . . . . . . 9
Fernando C. Silva Matrices With Prescribed Lower
Triangular Part . . . . . . . . . . . . 27
Bernd Silbermann On the Limiting Set of Singular Values
of Toeplitz Matrices . . . . . . . . . . 35
J. G. Braker and
G. J. Olsder The Power Algorithm in Max Algebra . . . 67
R. Mathias and
G. W. Stewart A Block $ Q R $ Algorithm and the
Singular Value Decomposition . . . . . . 91--100
R. B. Bapat Symmetric Function Means and Permanents 101
L. Grunenfelder and
M. Omladic Linearly Recursive Sequences and
Operator Polynomials . . . . . . . . . . 127
S. K. Jain and
L. E. Snyder Nonnegative Normal Matrices . . . . . . 147
Apostolos Hadjidimos and
Dimitrios Noutsos On a Matrix Identity Connecting
Iteration Operators Associated With a
$p$-Cyclic Matrix . . . . . . . . . . . 157
Harald K. Wimmer Pairs of Companion Matrices and Their
Simultaneous Reduction to Complementary
Triangluar Forms . . . . . . . . . . . . 179
Ren-cang Li Norms of Certain Matrices With
Applications to Variations of the
Spectra of Matrices and Matrix Pencils 199
L. Elsner A Note on the Hoffman-Wielandt Theorem 235
M. Eiermann and
R. S. Varga Is the Optimal omega Best for the SOR
Iteration Method? . . . . . . . . . . . 257
Drago\vs Cvetkovi\'c and
Peter Rowlinson and
Slobodan Simi\'c A Study of Eigenspaces of Graphs . . . . 45--66
Alexander Sakhnovich Exact Solutions of Nonlinear Equations
and the Method of Operator Identities 109--126
Matja\vz Omladi\vc and
Peter \vSemrl Additive mappings preserving operators
of rank one . . . . . . . . . . . . . . 239--256
Rafael Bru and
Rafael Canto and
Bit-Shun Tam Predecessor Property, Full Combinatorial
Column Rank, and the Height
Characteristic of an $M$-Matrix . . . . 1
Naomi Shaked-Monderer Extreme Chordal Doubly Nonnegative
Matrices With Given Row Sums . . . . . . 23
K. Zietak Properties of Linear Approximations of
Matrices in the Spectral Norm . . . . . 41
Ton Geerrts Invariant Subspaces and Invertibility
Properties for Singular Systems: The
General Case . . . . . . . . . . . . . . 61
Ehud Moshe Baruch and
Raphael Loewy Linear Preservers on Spaces of Hermitian
or Real Symmetric Matrices . . . . . . . 89
C.-T. Pan A Perturbation Analysis of the Problem
of Downdating a Cholesky Factorization 103
Leonya Livshits and
Sing-Cheong Ong On the Invertibility of the Map $ T
\rightarrow S T S^{-1} + S^{-1}T S $ and
Operator-Norm Inequalities . . . . . . . 117--129
P. Bhimasankaram and
Thomas Mathew On Ordering Properties of Generalized
Inverses of Nonnegative Definite
Matrices . . . . . . . . . . . . . . . . 131
Li Ching The Maximum Determinant of an $ n \times
n $ Lower Hessenberg $ (0, 1) $ Matrix 147
T. S. Michael The Structure Matrix of the Class of
$r$-Multigraphs With a Prescribed Degree
Sequence . . . . . . . . . . . . . . . . 155
Tilo Finck and
Georg Heinig and
Karla Rost An Inversion Formula and Fast Algorithms
for Cauchy--Vandermonde Matrices . . . . 179
Robert Costa and
Henrique Guzzo, Jr. Indecomposable Baric Algebras . . . . . 223
Paul J. Schweitzer and
G. W. Stewart The Laurent Expansion of Pencils That
Are Singular at the Origin . . . . . . . 237--254
Richard A. Brualdi and
Jennifer J. Q. Massey More on Structure-Ranks of Matrices . . 193--199
J. P. R. Christensen and
P. Fischer Multidimensional Stochastic Matrices and
Error-Correcting Codes . . . . . . . . . 255--276
A. M. Mathai Appell's and Humbert's Functions of
Matrix Arguments . . . . . . . . . . . . 201--221
Chjan C. Lim Nonsingular Sign Patterns and the
Orthogonal Group . . . . . . . . . . . . 1
Vlastimil Ptak and
Zdenek Vavrin Bezout, Hankel, and Loewner Matrices . . 13
Roy Mathias An Arithmetic-Geometric-Harmonic Mean
Inequality Involving Hadamard Products 71
Jiang Zeng A Bijective Proof of Muir's Identity and
the Cauchy-Binet Formula . . . . . . . . 79
Bernard F. Lamond An Efficient Basis Update of Asymptotic
Linear Programming . . . . . . . . . . . 83
Robert E. Hartwig and
Michael Neumann Bounds on the Exponent of Primitive
Which Depend on the Spectrum and the
Minimal Polynomial . . . . . . . . . . . 103
Zhe-Xian Wan On the Orthogonal Invariants of a
Subspace of a Vector Space Over a Finite
Field of Odd Characteristic . . . . . . 123
Zhe-Xian Wan On the Orthogonal Invariants of a
Subspace of a Vector Space Over a Finite
Field of Even Characteristics . . . . . 135
W. Hasselbarth and
E. Ruch On the Extension of Linear Contractions:
Some Results of the Hahn-Banach Type . . 145
Roland W. Freund and
Thomas Huckle A Restricted Signature Normal Form for
Hermitian Matrices, Quasi-Spectral
Decompositions, and Applications . . . . 165
Michael I. Gil On Equalities for Eigenvalues of
Matrices . . . . . . . . . . . . . . . . 201
Wang Xinmin Generalized Stein--Rosenberg Theorems
for the Regular Splittings and
Convergence of Some Generalized
Iterative Methods . . . . . . . . . . . 207
Bo-Ying Wang and
Ming-Peng Gong Some Eigenvalue Inequalities for
Positive Semidefinite Matrix Power
Products . . . . . . . . . . . . . . . . 249
Bryan L. Shader Convertible, Nearly Decomposable, and
Nearly Reducible Matrices . . . . . . . 37--53
Daniel Hershkowitz The Relation Between the Jordan
Structure of a Matrix and Its Graph . . 55--69
Scott McCullough Minimal Separators of 2-Chordal Graphs 187--199
LeRoy B. Beasley and
Larry J. Cummings The Structure of Generalized Permanent
Semigroups . . . . . . . . . . . . . . . 235--247
Cheng Wang and
Dao Sheng Zheng and
Guo-Liang Chen and
Shu Qin Zhao Structures of $p$-Isometric Matrices and
Rectangular Matrices With Minimum
$p$-Norm Condition Number . . . . . . . 261--278
Adam W. Bojanczyk and
Ruth Onn and
Allan O. Steinhardt Existence of the Hyperbolic Singular
Value Decomposition . . . . . . . . . . 21--30
Mario Taboada A Theorem in Linear Algebra With
Applications to the Geometry of Quadrics 31
Moody T. Chu The Stability Group of Symmetric
Toeplitz Matrices . . . . . . . . . . . 119--123
H. Miranda and
Robert C. Thompson A Trace Inequality With a Subtracted
Term . . . . . . . . . . . . . . . . . . 165
Wang Xinmin Generalized Extrapolation Principle and
Convergence of Some Generalized
Iterative Methods . . . . . . . . . . . 235
Hongxiang Li and
Gangsong Leng Matrix Inequality With Weights and Its
Applications . . . . . . . . . . . . . . 273
J. William Helton and
Hugo J. Woerdeman Symmetric Hankel Operators: Minimal Norm
Extensions and Eigenstructures . . . . . 1--19
Jean-Claude Evard and
Frank Uhlig Comparison of the Sets of Polynomials
$p$ and $q$ Such That $ X = p(A)$ and $
Y = q(B)$ Are Solutions of the Matrix
Equations $ f(X) = A$ and $ f(Y) = B$ 41--47
Dragoslav Herceg and
Nata\vsa Kreji\'c On the Convergence of the Unsymmetric
Successive Overrelaxation (USSOR) Method 49--60
Elizabeth A. Kalinina and
Alexei Yu. Uteshev Determination of the Number of Roots of
a Polynomial Lying in a Given Algebraic
Domain . . . . . . . . . . . . . . . . . 61--81
Leonid Lerer and
Leiba Rodman Sylvester and Lyapunov Equations and
Some Interpolation Problems for Rational
Matrix Functions . . . . . . . . . . . . 83--117
K. Zi\ketak Subdifferentials, Faces, and Dual
Matrices . . . . . . . . . . . . . . . . 125--141
H. Väliaho The Boolean Pivot Operation,
$M$-matrices, and Reducible Matrices . . 143--163
Peter Lancaster and
Qiang Ye Rayleigh--Ritz and Lanczos Methods for
Symmetric Matrix Pencils . . . . . . . . 173--201
James W. Demmel and
William Gragg On Computing Accurate Singular Values
and Eigenvalues of Matrices With Acyclic
Graphs . . . . . . . . . . . . . . . . . 203--217
Gilbert Helmberg and
Peter Wagner and
Gerhard Veltkamp On Faddeev-Leverrier's Method for the
Computation of the Characteristic
Polynomial of a Matrix and of
Eigenvectors . . . . . . . . . . . . . . 219--233
Isaiah L. Kantor and
Ivan M. Trishin Formulas for powers and functions of
matrices . . . . . . . . . . . . . . . . 1--13
Hiroyuki Osaka A series of absolutely indecomposable
positive maps in matrix algebras . . . . 45--53
Zhaojun Bai and
James W. Demmel On Swapping Diagonal Blocks in Real
Schur Form . . . . . . . . . . . . . . . 73--95
John Zhang Relative growth of linear iterations and
orthogonal polynomials on several
intervals . . . . . . . . . . . . . . . 97--115
A. Frommer and
G. Mayer Linear systems with $ {\Omega }
$-diagonally dominant matrices and
related ones . . . . . . . . . . . . . . 165--181
Jiu Ding A continuation algorithm for a class of
linear complementarity problems using an
extrapolation technique . . . . . . . . 199--214
J. A. Dias da Silva A note on preservers of decomposability 215--225
Jacob C. Engwerda and
André C. M. Ran and
Arie L. Rijkeboer Necessary and sufficient conditions for
the existence of a positive definite
solution of the matrix equation $ {X} +
{A}^*{X}^{-1}{A} = {Q} $ . . . . . . . . 255--275
D. Den Hertog and
C. Roos and
T. Terlaky The Linear Complementarity Problems,
Sufficient Matrices, and the Criss-Cross
Method . . . . . . . . . . . . . . . . . 1
Gabrielle Ten Have Structure of the $n$ th Roots of a
Matrix . . . . . . . . . . . . . . . . . 59
M. Benlarbi Delai and
B. Charles Description de AlgLat A pour un Opérateur
A Algébrique. (French) [Description of
AlgLat A for an algebraic operator A] 105
Sonia P. Coelho and
C. Polcino Milies Derivations of Upper Triangular Matrix
Rings . . . . . . . . . . . . . . . . . 263
Wu Li The Sharp Lipschitz Constants for
Feasible and Optimal Solutions of a
Perturbed Linear Program . . . . . . . . 15--40
K.-H. Förster and
B. Nagy Decomposable Matrix Polynomials . . . . 41--58
A. Hadjidimos and
Michael Neumann On Domains of Superior Convergence of
the SSOR Method to that of the SOR
Method . . . . . . . . . . . . . . . . . 67--85
Amit Bhaya and
Eugenius Kaszkurewicz On Discrete-Time Diagonal and
$D$-Stability . . . . . . . . . . . . . 87--104
Eva Achilles Implications of Convergence Rates in
Sinkhorn Balancing . . . . . . . . . . . 109--112
A. A. Stoorvogel and
H. L. Trentelman The finite-horizon singular $ {H}_\infty
$ control problem with dynamic
measurement feedback . . . . . . . . . . 113--161
Toma\vz Ko\vsir On the Structure of Commutative Matrices 163--182
D. D. Olesky and
Michael Tsatsomeros and
P. Van Den Driessche Qualitative controllability and
uncontrollability by a single entry . . 183--194
R. G. Bland and
C. W. Ko and
B. Sturmfels A Nonextremal Camion Basis . . . . . . . 195--199
José Á. Hermida-Alonso and
Miriam Pisonero Invariant Factors of an Endomorphism and
Finite Free Resolutions . . . . . . . . 201--226
L. Andrew Campbell Decomposing Samuelson Maps . . . . . . . 227--238
Eugene Spiegel Sums of Projections . . . . . . . . . . 239--249
Da Song Cao and
Andrew Vince The Spectral Radius of a Planar Graph 251--257
Jorma Kaarlo Merikoski and
Ari Virtanen Some further notes on the Marcus-de
Oliveira determinantal conjecture.
Erratum to: ``Some notes on de
Oliveira's determinantal conjecture''
[Linear Algebraic Appl. \bf 121 (1989),
345--352, MR 90g:15014] . . . . . . . . 259--262
J. M. Varah The Prolate Matrix . . . . . . . . . . . 269--278
Bart De Moor Structured Total Least Squares and $ L_2
$ Approximation Problems . . . . . . . . 163
Michael K. H. Fan A Quadratically Convergent Local
Algorithm on Minimizing the Largest
Eigenvalue of a Symmetric Matrix . . . . 231
Marc Moonen and
Paul Van Dooren and
Filiep Vanpoucke On the $ Q R $ Algorithm and Updating
the $ S V D $ and the $ U R V $
Decomposition in Parallel . . . . . . . 549--568
Dario Bini and
Victor Pan Improved Parallel Computations With
Toeplitz-like and Hankel-like Matrices 3--29
Adam W. Bojanczyk and
James G. Nagy and
Robert J. Plemmons Block RLS Using Row Householder
Reflections . . . . . . . . . . . . . . 31--61
Stephen Boyd and
Laurent El Ghaoui Method of Centers for Minimizing
Generalized Eigenvalues . . . . . . . . 63--111
Ralph Byers and
N. K. Nichols On the Stability Radius of a Generalized
State-Space System . . . . . . . . . . . 113--134
Biswa Nath Datta and
Fernando Rincón Feedback Stabilization of a Second-Order
System: A Nonmodal Approach . . . . . . 135--161
Ludwig Elsner and
Chunyang He Perturbation and Interlace Theorems for
the Unitary Eigenvalue Problem . . . . . 207--229
Mei Gao and
Michael Neumann A Global Minimum Search Algorithm for
Estimating the Distance to
Uncontrollability . . . . . . . . . . . 305--350
Martin H. Gutknecht Stable Row Recurrences for the Padé Table
and Generically Superfast Lookahead
Solvers for Non-Hermitian Toeplitz
Systems . . . . . . . . . . . . . . . . 351--421
A. Scottedward Hodel Computation of System Zeros With
Balancing . . . . . . . . . . . . . . . 423--436
W. W. Lin and
S. S. You A Symplectic Acceleration Method for the
Solution of the Algebraic Riccati
Equation on a Parallel Computer . . . . 437--463
Lin Zhang Lu and
Wen Wei Lin An iterative algorithm for the solution
of the discrete-time algebraic Riccati
equation . . . . . . . . . . . . . . . . 465--488
Alexander N. Malyshev Parallel Algorithm for Solving Some
Spectral Problems of Linear Algebra . . 489--520
Pradeep Misra and
Thulasinath Manickam Balanced Realization of
Separable-Denominator Multidimensional
Systems . . . . . . . . . . . . . . . . 521--547
R. V. Patel On Computing the Eigenvalues of a
Symplectic Pencil . . . . . . . . . . . 591--611
Vassilis Syrmos and
Petr Zagalak Computing Normal External Descriptions
and Feedback Design . . . . . . . . . . 613--639
David H. Wood Product Rules for the Displacement of
Near-Toeplitz Matrices . . . . . . . . . 641--663
Roland W. Freund and
Hong Yuan Zha Formally Biorthogonal Polynomials and a
Look-ahead Levinson Algorithm for
General Toeplitz Systems . . . . . . . . 255--303
W. H. L. Neven and
C. Praagman Column Reduction of Polynomial Matrices 569--589
Dragan \vZigi\'c and
Layne T. Watson and
Christopher Beattie Contragredient Transformations Applied
to the Optimal Projection Equations . . 665--676
J. B. Wilker The Quaternion Formalism for Mobius
Groups in Four or Fewer Dimensions . . . 99
Jack B. Brown and
Phillip J. Chase and
Arthur O. Pittenger Order Independence and Factor
Convergence in Iterative Scaling . . . . 1--38
James S. Otto Multigrid Convergence for
Convection-Diffusion Problems on
Composite Grids . . . . . . . . . . . . 39--70
Han H. Cho Prime Boolean Matrices and
Factorizations . . . . . . . . . . . . . 87--98
Martin Hanke and
Michael Neumann The Geometry of the Set of Scaled
Projections . . . . . . . . . . . . . . 137--148
Joel E. Cohen and
Uriel G. Rothblum Nonnegative ranks, decompositions, and
factorizations of nonnegative matrices 149--168
Carolyn A. Eschenbach and
Charles R. Johnson Sign Patterns That Require Repeated
Eigenvalues . . . . . . . . . . . . . . 169--179
Raymond H. Chan and
Kwok-Po Ng Toeplitz Preconditioners for Hermitian
Toeplitz Systems . . . . . . . . . . . . 181--208
Roger A. Horn and
Dennis I. Merino A Real-Coninvolutory Analog of the Polar
Decomposition . . . . . . . . . . . . . 209--227
M. H. Lim A Note on Similarity Preserving Linear
Maps on Matrices . . . . . . . . . . . . 229--233
William A. Adkins and
Jean-Claude Evard and
Robert M. Guralnick Matrices Over Differential Fields Which
Commute With Their Derivative . . . . . 253--261
Hassane Sadok Quasilinear Vector Extrapolation Methods 71--85
Miroslav Fiedler and
Zden\vek Vav\vrín Polynomials Compatible With a Symmetric
Loewner Matrix . . . . . . . . . . . . . 235--251
Song Xu Notes on Sufficient Matrices . . . . . . 1--13
Irving S. Reed Generalized de Moivre's Theorem,
Quaternions, and Lorentz Transformations
on a Minkowski Space . . . . . . . . . . 15--40
David E. Stewart An Index Formula for Degenerate LCPs . . 41--51
Robert E. Hartwig The Pyramid Decomposition and Rank
Minimization . . . . . . . . . . . . . . 53--76
Ali H. Sayed and
Hanoch Lev-Ari and
Thomas Kailath Fast Triangular Factorization of the Sum
of Quasi-Toeplitz and Quasi-Hankel
Matrices . . . . . . . . . . . . . . . . 77--106
Bernd Fritzsche and
Stefan Fuchs and
Bernd Kirstein Schur-Sequence Parametrizations of
Potapov-Normalized Full-Rank $
j_{pq}$-Elementary Factors . . . . . . . 107--149
Han H. Cho Regular Matrices in the Semigroup of
Hall Matrices . . . . . . . . . . . . . 151--163
Miroslav Fiedler and
Thomas L. Markham Quasidirect Addition of Matrices and
Generalized Inverses . . . . . . . . . . 165--182
B. Najman and
Q. Ye A Minimax Characterization for
Eigenvalues of Hermitian Pencils. II . . 183--197
Jiu Ding Perturbation analysis for the projection
of a point to an affine set . . . . . . 199--212
M. T. Alcalde and
C. Burgueño and
C. Mallol Les $ {\rm Pol}(n, m) $-alg\`ebres:
identités polynômiales symétriques dans des
alg\`ebres. (French) [$ {\rm Pol}(n, m)
$-algebras: symmetric polynomial
identities in algebras] . . . . . . . . 213--234
S. González and
C. Martínez Bernstein Algebras With Zero Derivation
Algebra . . . . . . . . . . . . . . . . 235--244
Eugene Seneta Explicit Forms for Ergodicity
Coefficients of Stochastic Matrices . . 245--252
Wayne Barrett and
Charles R. Johnson and
Pablo Tarazaga The Real Positive Definite Completion
Problem for a Simple Cycle . . . . . . . 3--31
Don Coppersmith Solving linear equations over $ {\rm
GF}(2) $: block Lanczos algorithm . . . 33--60
Ludwig Elsner and
Daniel Hershkowitz and
Hans Schneider Spectral Radii of Certain Iteration
Matrices and Cycle Means of Digraphs . . 61--81
Dennis R. Estes and
Robert M. Guralnick Minimal Polynomials of Integral
Symmetric Matrices . . . . . . . . . . . 83--99
Peter Fleischmann Connections Between the Algorithms of
Berlekamp and Niederreiter for Factoring
Polynomials Over $ \mbox {\bf F}_q $ . . 101--108
Shmuel Friedland Rational Orthogonal Similarity of
Rational Symmetric Matrices . . . . . . 109--114
Holger W. Gollan Conjugacy Class Sums for Induced
Modules: Construction and Applications 115--135
George Havas and
Derek F. Holt and
Sarah Rees Recognizing badly presented $ \mbox {\bf
Z} $-modules . . . . . . . . . . . . . . 137--163
Nicholas J. Higham and
Philip A. Knight Finite Precision Behavior of Stationary
Iteration for Solving Singular Systems 165--186
W. Lempken and
R. Staszewski A construction of $ \widehat 3 {\rm McL}
$ and some representation theory in
characteristic $5$ . . . . . . . . . . . 205--234
S. A. Linton On Vector Enumeration . . . . . . . . . 235--248
Sean S. B. Moore and
Dennis M. Healy, Jr. and
Daniel N. Rockmore Symmetry Stabilization for Fast Discrete
Monomial Transforms and Polynomial
Evaluation . . . . . . . . . . . . . . . 249--299
Barry W. Peyton and
Alex Pothen and
Xiaoqing Yuan Partitioning a Chordal Graph Into
Transitive Subgraphs for Parallel Sparse
Triangular Solution . . . . . . . . . . 329--353
K. W. Roggenkamp and
L. L. Scott Automorphisms and NonAbelian Cohomology:
An Algorithm . . . . . . . . . . . . . . 355--382
Victor Klee and
Balder von Hohenbalken and
Ted Lewis On the recognition of $ {S}$-systems . . 187--204
Harald Niederreiter Factorization of Polynomials and Some
Linear-Algebra Problems Over Finite
Fields . . . . . . . . . . . . . . . . . 301--328
Eduardo Marques de Sá and
María-José Sodupe Characterizations of $^*$
orthant-monotonic norms . . . . . . . . 1--9
Gerhard Schmeisser A Real Symmetric Tridiagonal Matrix With
a Given Characteristic Polynomial . . . 11--18
John A. Kaliski and
Yinyu Ye An Extension of the Potential Reduction
Algorithm for Linear Complementarity
Problems With Some Priority Goals . . . 35--50
Karla Rost Generalized Lyapunov Equations, Matrices
With Displacement Structure, and
Generalized Bezoutians . . . . . . . . . 75--93
M. C. Gouveia Generalized Invertibility of Hankel and
Toeplitz Matrices . . . . . . . . . . . 95--106
Karlheinz Gröchenig A Discrete Theory of Irregular Sampling 129--150
Karla Rost Generalized Companion Matrices and
Matrix Representations for Generalized
Bezoutians . . . . . . . . . . . . . . . 151--172
Vlad Ionescu and
Martin Weiss Continuous and Discrete-Time Riccati
Theory: A Popov-Function Approach . . . 173--209
R. Kit Kittappa A Representation of the Solution of the
$n$ th Other Linear Difference Equation
With Variable Coefficients . . . . . . . 211--222
Dietrich Von Rosen Homogeneous Matrix Equations and
Multivariate Linear Models . . . . . . . 19--33
Zinovy Reichstein On Automorphisms of Matrix Invariants
Induced From the Trace Ring . . . . . . 51--74
L. J. Landau and
R. F. Streater On Birkhoff's Theorem for Doubly
Stochastic Completely Positive Maps of
Matrix Algebras . . . . . . . . . . . . 107--127
Daniel Sweet Quadratic Characterizations for
Reciprocal Linear Difference Equations 1--7
Lawrence A. Harris Computation of Functions of Certain
Operator Matrices . . . . . . . . . . . 31--34
Yasuhiko Ikebe and
Yasushi Kikuchi and
Issei Fujishiro and
Nobuyoshi Asai and
Kouichi Takanashi and
Minoru Harada The Eigenvalue Problem for Infinite
Compact Complex Symmetric Matrices With
Application to the Numerical Computation
of Complex Zeros of $ J_0 (z) - i J_1
(z) $ and of Bessel Functions $ J_m(z) $
of Any Real Order $m$ . . . . . . . . . 35--70
Adolf Rhodius On Explicit Forms for Ergodicity
Coefficients . . . . . . . . . . . . . . 71--83
Dragomir \vZ. \Dbarokovi\'c Factorization of Hermitian Matrix
Polynomials With Constant Signature . . 85--90
Jacob C. Engwerda On the existence of a positive definite
solution of the matrix equation $ X +
A^{\sf T}X^{-1}A = I $ . . . . . . . . . 91--108
Ping Li and
Yu Yu Feng Criteria for Copositive Matrices of
Order Four . . . . . . . . . . . . . . . 109--124
E. Neely Atkinson Computing $ A^{\sf T}A - B^{\sf T}B =
L^{\sf T}D L $ using generalized
hyperbolic transformations . . . . . . . 135--147
Jaspal Singh Aujla Matrix Convexity of Functions of Two
Variables . . . . . . . . . . . . . . . 149--160
Werner Kratz A Limit Theorem for Monotone Matrix
Functions . . . . . . . . . . . . . . . 205--222
Chiou-Ming Huang and
Dianne P. O'Leary A Krylov Multisplitting Algorithm for
Solving Linear Systems of Equations . . 9--29
Allen D. Ziebur The Chain Rule for Functions With a
Matrix Argument . . . . . . . . . . . . 125--133
G. Alefeld and
G. Mayer The Cholesky Method for Interval Data 161--182
Alex Pothen Predicting the Structure of Sparse
Orthogonal Factors . . . . . . . . . . . 183--203
J. J. McDonald and
M. Neumann and
H. Schneider Resolvents of Minus $M$-Matrices and
Splittings of $M$-Matrices . . . . . . . 17--33
Sônia P. Coelho The Automorphism Group of a Structural
Matrix Algebra . . . . . . . . . . . . . 35--58
Kre\vsimir Veseli\'c and
Ivan Slapni\vcar Floating-Point Perturbations of
Hermitian Matrices . . . . . . . . . . . 81--116
D. J. Hartfiel Results on Limiting Sets of Markov Set
Chains . . . . . . . . . . . . . . . . . 155--163
William C. Waterhouse The Degrees of the Cyclotomic Extension
Fields . . . . . . . . . . . . . . . . . 181--189
J. P. Milaszewicz and
L. P. Moledo On Nonsingular $M$-Matrices . . . . . . 1--8
T. L. Hayden and
P. Tarazaga Distance Matrices and Regular Figures 9--16
William F. Trench Interlacement of the Even and Odd
Spectra of Real Symmetric Toeplitz
Matrices . . . . . . . . . . . . . . . . 59--68
Kee Yuen Lam and
Paul Yiu Linear Spaces of Real Matrices of
Constant Rank . . . . . . . . . . . . . 69--79
Vjeran Hari and
Noah H. Rhee A Matrix Pair of an Almost Diagonal
Skew-Symmetric Matrix and a Symmetric
Positive Definite Matrix . . . . . . . . 117--144
William D. O'Neill $M$-Matrices and Bounds for Reliable
Transmission of Information in
Communication Systems and Economic
Markets . . . . . . . . . . . . . . . . 145--154
A. A. Ebiefung and
M. M. Kostreva Generalized $ {P}_0$- and $
{Z}$-matrices . . . . . . . . . . . . . 165--179
Jian Ming Miao and
Adi Ben-Israel Minors of the Moore--Penrose Inverse . . 191--207
Stephen J. Kirkland and
Bryan L. Shader Tournament Matrices With Extremal
Spectral Properties . . . . . . . . . . 1--17
R. B. Bapat and
A. K. Lal Path positivity and infinite Coxeter
groups . . . . . . . . . . . . . . . . . 19--35
Richard A. Brualdi and
Keith L. Chavey and
Bryan L. Shader Rectangular $L$-matrices . . . . . . . . 37--61
A. Deif and
J. Rohn On the Invariance of the Sign Pattern of
Matrix Eigenvectors Under Perturbation 63--70
Óscar Rojo and
Ricardo L. Soto and
Héctor Rojo A Decreasing Sequence of Eigenvalue
Localization Regions . . . . . . . . . . 71--84
Thomas J. Laffey and
Eleanor Meehan Factorization of Polynomials Using
Commuting Matrices . . . . . . . . . . . 85--103
Xin Min Wang Convergence for a General Form of the
GAOR Method and Its Application to the
MSOR Method . . . . . . . . . . . . . . 105--123
Ana Fuenzalida and
Alicia Labra and
Cristian Mallol Orthogonality in WBJ Algebras . . . . . 125--138
J. W. van der Woude Graph Theoretic Methods for the
Computation of Disturbance Decoupling
Feedback Matrices for Structured Systems 139--162
Xian Zhang and
Dun He Gu A Note on A. Brauer's Theorem . . . . . 163--174
D. R. Jensen Minimal Properties of Moore--Penrose
Inverses . . . . . . . . . . . . . . . . 175--182
Jonq Juang and
Mei Tzu Lee Comparison Theorems for the Matrix
Riccati Equation . . . . . . . . . . . . 183--191
Shmuel Friedland and
Wasin So On the Product of Matrix Exponentials 193--205
Joseph A. Ball and
Jeongook Kim Stability and McMillan Degree for
Rational Matrix Interpolants . . . . . . 207--232
Roberto Costa and
Henrique Guzzo, Jr. Indecomposable Baric Algebras. II . . . 233--242
Hervé Le Ferrand Quelques inégalités sur les déterminants de
Gram d'une suite vectorielle de Krylov
associée \`a une matrice orthogonale de $
{\bf R}^p $. (French) [Some inequalities
on the Gram determinants of a Krylov
vector sequence associated with an
orthogonal matrix in $ {\bf R}^p $] . . 243--252
Ehrhard Behrends On Matrix-Closed Families of Subspaces
of a Banach Space . . . . . . . . . . . 253--272
Aloys Krieg Counting modular matrices with specified
maximum norm . . . . . . . . . . . . . . 273--278
J. A. Da Silva Report: Second Conference of the
International Linear Algebra Society
(Lisbon, 1992) . . . . . . . . . . . . . 793
Peter Lancaster and
Alexander S. Markus and
Qiang Ye Low Rank Perturbations of Strongly
Definitizable Transformations and Matrix
Polynomials . . . . . . . . . . . . . . 3--29
Dragomir \vZ. \Dbarokovi\'c and
Chi-Kwong Li Overgroups of Some Classical Linear
Groups With Applications to Linear
Preserver Problems . . . . . . . . . . . 31--61
M. J. C. Gover The Eigenproblem of a Tridiagonal
2-Toeplitz Matrix . . . . . . . . . . . 63--78
Alexander Kova\vcec and
Ana Paula Santana A combinatorial theorem on the Cartan
invariants of the Schur algebra $ S(B^+)
$ . . . . . . . . . . . . . . . . . . . 79--91
B. Beckermann and
G. Mühlbach A General Determinantal Identity of
Sylvester Type and Some Applications . . 93--112
Tsuyoshi Ando and
Fumio Hiai Log Majorization and Complemetary
Golden-Thompson Type Inequalities . . . 113--131
M. Gasca and
J. M. Peña A Test for Strict Sign-Regularity . . . 133--142
Russell Merris Laplacian Matrices of Graphs: A Survey 143--176
Maria Antónia Duffner and
G. N. de Oliveira Pairs of Matrices Satisfying Certain
Polynomial Identities . . . . . . . . . 177--188
Raphael Loewy and
Nizar Radwan Spaces of Symmetric Matrices of Bounded
Rank . . . . . . . . . . . . . . . . . . 189--215
Kurt J. Reinschke Graph-Theoretic Approach to Symbolic
Analysis of Linear Descriptor Ssytems 217--244
Rajendra Bhatia Matrix Factorizations and Their
Perturbations . . . . . . . . . . . . . 245--276
João Filipe Queiró An Inverse Problem for Singular Values
and the Jacobian of the Elementary
Symmetric Functions . . . . . . . . . . 277--282
Å. Björck Numerics of Gram--Schmidt
Orthogonalization . . . . . . . . . . . 297--316
Chi-Kwong Li and
Maria Emília Miranda Antidiagonals of Matrices in a Unitary
Similarity Orbit . . . . . . . . . . . . 317--336
Miroslav Fiedler Elliptic Matrices With Zero Diagonal . . 337--347
Eduardo Marques de Sá Faces and Traces of the Unit Ball of a
Symmetric Gauge Function . . . . . . . . 349--395
R. B. Bapat and
A. K. Lal Inequalities for the $q$-Permanent . . . 397--409
Natália Bebiano and
Alexander Kova\vcec and
João da Providência The validity of the Marcus-de Oliveira
conjecture for essentially Hermitian
matrices . . . . . . . . . . . . . . . . 411--427
Eduardo Marques de Sá Exposed Faces and Duality for Symmetric
and Unitarily Invariant Norms . . . . . 429--450
Eduardo Marques de Sá Faces of the Unit Ball of a Unitarily
Invariant Norm . . . . . . . . . . . . . 451--493
M. C. Gouveia Group and Moore--Penrose Invertibility
of Bezoutians . . . . . . . . . . . . . 495--509
J. J. McDonald A Product Index Theorem With
Applications to Splittings of
$M$-matrices . . . . . . . . . . . . . . 511--530
Daniel Alpay and
Joseph A. Ball and
Israel Gohberg and
Leiba Rodman $ {J}$-unitary preserving automorphisms
of rational matrix functions: state
space theory, interpolation, and
factorization . . . . . . . . . . . . . 531--566
M. Antónia Duffner Linear Transformations That Preserve
Immanants . . . . . . . . . . . . . . . 567--588
Ma. Asunción Beitia and
Ion Zaballa Invariants of the Block Tensor Product 589--622
Georg Heinig and
Frank Hellinger Displacement Structure of Pseudoinverses 623--649
H. Bart and
V. \`E. Tsekanovski\uì Complementary Schur Complements . . . . 651--658
Gordon James Hecke Algebras and Immanants . . . . . . 659--670
Thomas J. Laffey and
Robert Reams Integral Similarity and Commutators of
Integral Matrices . . . . . . . . . . . 671--689
Biswa Nath Datta Linear and Numerical Linear Algebra in
Control Theory: Some Research Problems 755--790
Axel Ruhe Rational Krylov algorithms for
nonsymmetric eigenvalue problems. II.
Matrix pairs . . . . . . . . . . . . . . 283--295
Er Xiong Jiang Bounds for the Smallest Singular Value
of a Jordan Block With an Application to
Eigenvalue Perturbation . . . . . . . . 691--707
Fernando C. Silva On the Number of Invariant Polynomials
of Partially Prescribed Matrices . . . . 709--754
Leon Jay Gleser and
Michael D. Perlman and
S. James Press and
Allan R. Sampson A Brief Biography and Appreciation of
Ingram Olkin . . . . . . . . . . . . . . 1--15
Karl Mosler Majorization in Economic Disparity
Measures . . . . . . . . . . . . . . . . 91--114
T. Ando Majorizations and Inequalities in Matrix
Theory . . . . . . . . . . . . . . . . . 17--67
Y. L. Tong Some Recent Developments on Majorization
Inequalities in Probability and
Statistics . . . . . . . . . . . . . . . 69--90
James V. Bondar Comments on and complements to: \it
Inequalities: theory of majorization and
its applications [Academic Press, New
York, 1979, MR 81b:00002] by A. W.
Marshall and I. Olkin . . . . . . . . . 115--130
Hector F. Miranda and
Robert C. Thompson Group Majorization, the Convex Hulls of
Sets of Matrices and the Diagonal
Element--Singular Value Inequalities . . 131--141
Khakim D. Ikramov A Simple Proof of the Generalized Schur
Inequality . . . . . . . . . . . . . . . 143--149
Steen A. Andersson and
Michael D. Perlman A Characterization of Matrix Groups That
Act Transitively on the Cone of Positive
Definite Matrices . . . . . . . . . . . 151--170
Markus Abt A Note on the Product Correlation Rule 171--177
Srinivasa R. Arikati and
Uri N. Peled Degree Sequences and Majorization . . . 179--211
Berthold Heiligers Totally Nonnegative Moment Matrices . . 213--227
J. Ferrer and
Ma. I. García and
F. Puerta Differentiable Families of Subspaces . . 229--252
Ma. Asunción Beitia and
Juan-M. Gracia Local Behavior of Sylvester Matrix
Equations Related to Block Similarity 253--279
R. B. Bapat and
Subhash C. Kochar On Likelihood-Ratio Ordering of Order
Statistics . . . . . . . . . . . . . . . 281--291
B. Mond and
J. E. Pe\vcari\'c Inequalities Involving Powers of
Generalized Inverses . . . . . . . . . . 293--303
Jian Ming Miao and
Adi Ben-Israel On $ \ell_p$-approximate solutions of
linear equations . . . . . . . . . . . . 305--327
S. W. Drury A Bound for the Determinant of Certain
Hadamard Products and for the
Determinant of the Sum of Two Normal
Matrices . . . . . . . . . . . . . . . . 329--338
Ingo Althöfer On Sparse Approximations to Randomized
Strategies and Convex Combinations . . . 339--355
M. Knott and
C. S. Smith On a Generalization of Cyclic
Monotonicity and Distances Among Random
Vectors . . . . . . . . . . . . . . . . 363--371
Alan Hoffman and
Uriel G. Rothblum A Proof of the Convexity of the Range of
a Nonatomic Vector Measure Using Linear
Inequalities . . . . . . . . . . . . . . 373--379
Russell Merris Degree Maximal Graphs Are Laplacian
Integral . . . . . . . . . . . . . . . . 381--389
S. W. Drury On a Theorem of Wielandt and the
Compounds of Unitary Matrices . . . . . 391--412
Xiao-Li Meng and
Donald B. Rubin On the Global and Componentwise Rates of
Convergence of the $ E M $ Algorithm . . 413--425
Rafael Brú and
Juana Cerdán and
Ana M. Urbano An Algorithm for the Multiinput Pole
Assignment Problem . . . . . . . . . . . 427--444
H. K. Wimmer Roth's Theorems for Matrix Equations
With Symmetry Constraints . . . . . . . 357--362
Anonymous Special Issues . . . . . . . . . . . . . 1
Anonymous Conference Proceedings . . . . . . . . . 3
Anonymous Book Reviews . . . . . . . . . . . . . . 5
Anonymous 20 year index: Volumes 101--200 . . . . 83
Robert Grone A Biography of Marvin Marcus . . . . . . 1--20
Chi-Kwong Li Linear Operators Preserving the $ (p, q)
$ Numerical Radius . . . . . . . . . . . 21--42
William Watkins Unimodular Congruence of the Laplacian
Matrix of a Graph . . . . . . . . . . . 43--49
Morris Newman Tridiagonal Matrices . . . . . . . . . . 51--55
Russell Merris A Note on Unimodular Congruence of
Graphs . . . . . . . . . . . . . . . . . 57--60
Raphael Loewy and
Stephen Pierce Linear Preservers of Balanced Singular
Inertia Classes . . . . . . . . . . . . 61--77
E. R. Barnes and
A. J. Hoffman Bounds for the Spectrum of Normal
Matrices . . . . . . . . . . . . . . . . 79--90
Alexander Kova\vcec On a Conjecture of Marcus and de
Oliveria . . . . . . . . . . . . . . . . 91--97
N. Bebiano and
M. E. Miranda On a Recent Determinantal Inequality . . 99--102
Richard A. Brualdi and
Bryan L. Shader Minimum Permanents on Special Faces of
the Polytope of Doubly Stochastic
Matrices . . . . . . . . . . . . . . . . 103--111
Mao Ting Chien and
Bit Shun Tam Circularity of the Numerical Range . . . 113--133
Henryk Minc Minimum Permanents of Doubly Stochastic
Matrices With Prescribed Zero Entries on
the Main Diagonal . . . . . . . . . . . 135--154
Richard Arens and
Moshe Goldberg Weighted $ \ell_\infty $ norms for
matrices . . . . . . . . . . . . . . . . 155--163
Morris Newman and
Robert C. Thompson A counterexample connected with
Ger\vsgorin's theorem . . . . . . . . . 165--169
LeRoy B. Beasley and
Daniel J. Scully Linear Operators Which Preserve
Combinatorial Orthogonality . . . . . . 171--180
Robert Grone and
Stephen Pierce and
James Ross and
Chi-Kwong Li Spectral Bounds Derived From Quadratic
Forms on Decomposable Tensors . . . . . 181--198
Frank Uhlig Computing the Inertias in Symmetric
Matrix Pencils . . . . . . . . . . . . . 199--209
George W. Soules An Approach to the Permanental-Dominance
Conjecture . . . . . . . . . . . . . . . 211--229
Erich W. Ellers Products of transvections in one
conjugacy class in the symplectic group
over $ {\rm GF}(3) $ . . . . . . . . . . 1--23
Luca Dieci Structure Preserving Piecewise
Polynomial Interpolation for Definite
Matrices . . . . . . . . . . . . . . . . 25--32
M. Gasca and
J. M. Peña A Matricial Description of Neville
Elimination With Applications to Total
Positivity . . . . . . . . . . . . . . . 33--53
Sergej Rjasanow Effective Algorithms With
Circulant-Block Matrices . . . . . . . . 55--69
A. Messaoudi Matrix Recursive Projection and
Interpolation Algorithms . . . . . . . . 71--89
Michael Shmoish On Generalized Spectral Functions, the
Parametrization of Block Hankel and
Block Jacobi Matrices, and Some Root
Location Problems . . . . . . . . . . . 91--128
Estelle L. Basor and
Kent E. Morrison The Fisher--Hartwig Conjecture and
Toeplitz Eigenvalues . . . . . . . . . . 129--142
Sandro Zampieri A Solution of the Cauchy Problem for
Multidimensional Discrete Linear
Shift-Invariant Systems . . . . . . . . 143--162
I. Gohberg and
V. Olshevsky Complexity of Multiplication With
Vectors for Structured Matrices . . . . 163--192
P. Dörfler and
G. Schmeisser Construction of Unitary and Normal
Companion Matrices . . . . . . . . . . . 193--220
L. Lopez Bounds for the Solutions of a Class of
Tridiagonal Linear Systems . . . . . . . 221--233
Arieh Lev Products of cyclic similarity classes in
the groups $ {\rm GL}_n(F) $ . . . . . . 235--266
Hugo J. Woerdeman Toeplitz Minimal Rank Completions . . . 267--278
Daniel Alpay and
Vladimir Bolotnikov On a General Moment Problem and Certain
Matrix Equations . . . . . . . . . . . . 3--43
A. C. Antoulas A New Approach to Modeling for Control 45--65
J. A. Ball and
M. A. Kaashoek and
G. Groenewald and
J. Kim Column reduced rational matrix functions
with given null-pole data in the complex
plane . . . . . . . . . . . . . . . . . 67--110
Joseph A. Ball and
Marek Rakowski and
Bostwick F. Wyman Coupling Operators, Wedderburn-Forney
Spaces, and Generalized Inverses . . . . 111--138
Bao Wei Wu Some Properties of Linear Systems
Defined Over a Commutative Banach
Algebra . . . . . . . . . . . . . . . . 139--154
Tibor Boros and
Ali H. Sayed and
Thomas Kailath Structured Matrices and Unconstrained
Rational Interpolation Problems . . . . 155--188
Roger Brockett Differential Equations and Matrix
Inequalities on Isospectral Families . . 189--207
Chin Chang and
Tryphon T. Georgiou Geometric Aspects of the Carathéodory
Extension Problem . . . . . . . . . . . 209--251
Guan Rong Chen and
Çetin Kaya Koç Computing Matrix-Valued Nevanlinna--Pick
Interpolation . . . . . . . . . . . . . 253--263
Gong Ning Chen and
Hui Pin Zhang More on Loewner Matrices . . . . . . . . 265--300
Carmen Coll and
Rafael Brú and
Elena Sánchez and
Vicente Hernández Discrete-Time Linear Periodic
Realization in the Frequency Domain . . 301--326
Ruth F. Curtain and
Alejandro Rodríguez Necessary and Sufficient Conditions for
$J$-Spectral Factorizations With a
$J$-Lossless Property for
Infinite-Dimensional Systems in
Continuous and Discrete Time . . . . . . 327--358
Avraham Feintuch Strong Graph Representations for Linear
Time-Varying Systems . . . . . . . . . . 385--399
Sven Feldmann and
George Heinig Uniqueness Properties of Minimal Partial
Realizations . . . . . . . . . . . . . . 401--427
Michel Fliess Une interprétation algébrique de la
transformation de Laplace et des
matrices de transfert. (French) [An
algebraic interpretation of the Laplace
transform and transfer matrices] . . . . 429--442
Ciprian Foias and
Arthur Frazho and
Allen Tannenbaum On combined $ {H}^\infty $-$ {H}^2$
suboptimal interpolants . . . . . . . . 443--469
P. A. Fuhrmann A Duality Theory for Robust
Stabilization and Model Reduction . . . 471--578
Hisaya Fujioka and
Shinji Hara State Covariance Assignment Problem With
Measurement Noise: A Unified Approach
Based on a Symmetric Matrix Equation . . 579--605
Ton Geerts Linear-Quadratic Control With and
Without Stability Subject to General
Implicit Continuous-Time Systems:
Coordinate-Free Interpretations of the
Optimal Costs in Terms of Dissipation
Inequality and Linear Matrix Inequality:
Existence and Uniqueness of Optimal
Controls and State Trajectories . . . . 607--658
Tomomichi Hagiwara and
Mituhiko Araki A Successive Optimal Construction
Procedure for State Feedback Gains . . . 659--673
Leonid Faybusovich Rational Functions, Toda Flows, and
LR-like Algorithms . . . . . . . . . . . 359--383
Shinji Hara and
Hisaya Fujioka and
Pierre T. Kabamba A Hybrid State-Space Approach to
Sampled-Data Feedback Control . . . . . 675--712
M. L. J. Hautus Operator Substitution . . . . . . . . . 713--739
J. Hoffmann and
P. A. Fuhrmann Remarks on Orthogonal Polynomials and
Balanced Realizations . . . . . . . . . 741--776
J. Hoffmann and
D. Prätzel-Wolters Dipolynomial Minimal Bases and Linear
Systems in AR Representation . . . . . . 777--803
E. W. Kamen Block-Form Control of Linear
Time-Invariant Discrete-Time Systems
Defined over Commutative Rings . . . . . 805--829
Tohru Katayama A Spectral Factorization Algorithm for
Discrete-Time Descriptor Systems via
Generalized Eigenproblems . . . . . . . 869--891
A. P. Kishore and
J. B. Pearson, Jr. Kernel Representation and Properties of
Discrete-Time Input-Output Systems . . . 893--908
Renée Koplon and
Eduardo D. Sontag and
M. L. J. Hautus Observability of Linear Systems With
Saturated Outputs . . . . . . . . . . . 909--936
Hans-Andrea Loeliger and
G. David Forney, Jr. and
Thomas Mittelholzer and
Mitchell D. Trott Minimality and Observability of Group
Systems . . . . . . . . . . . . . . . . 937--963
Denis Mustafa How Much Integral Action Can a Control
System Tolerate? . . . . . . . . . . . . 965--970
M. A. Peters and
A. A. Stoorvogel Mixed $ H_2 \vert H_\infty $ Control in
a Stochastic Framework . . . . . . . . . 971--996
Giorgio Picci and
Stefano Pinzoni Acausal Models and Balanced Realizations
of Stationary Processes . . . . . . . . 997--1043
Allen C. Raines, III and
David S. Watkins A Class of Hamiltonian-Symplectic
Methods for Solving the Algebraic
Riccati Equation . . . . . . . . . . . . 1045--1060
Cheryl B. Schrader Dynamical Structures on Pencils, Poles,
and Fundamental Subspaces . . . . . . . 1061--1079
J. A. Sefton and
R. J. Ober Hankel-Norm Approximation and Control
Systems . . . . . . . . . . . . . . . . 1081--1120
J. De Does and
J. M. Schumacher Continuity of Singular Perturbations in
the Graph Topology . . . . . . . . . . . 1121--1143
Alle-Jan van der Veen and
Patrick Dewilde On Low-Complexity Approximation of
Matrices . . . . . . . . . . . . . . . . 1145--1201
Xiaochang Wang and
Joachim Rosenthal A Cell Structure for the Set of
Autoregressive Systems . . . . . . . . . 1203--1225
Siep Weiland A Behavioral Approach to Balanced
Representations of Dynamical Systems . . 1227--1252
Harald K. Wimmer A Galois Correspondence Between Sets of
Semidefinite Solutions of
Continuous-Time Algebraic Riccati
Equations . . . . . . . . . . . . . . . 1253--1270
Q. H. Wu and
M. Mansour On the Stability Hyperellipsoid of a
Schur Polynomial . . . . . . . . . . . . 1271--1288
Xin Xin and
Hidenori Kimura $ ({J}, {J}')$-lossless factorization
for descriptor systems . . . . . . . . . 1289--1318
Yutaka Yamamoto and
Mituhiko Araki Frequency Responses for Sampled-Data
Systems-Their Equivalence and
Relationships . . . . . . . . . . . . . 1319--1339
Nicos Karcanias Minimal Bases of Matrix Pencils:
Algebraic Toeplitz Structure and
Geometric Properties . . . . . . . . . . 831--868
H. Yanai and
S.-I Mayekawa Linear Algebra and Linear Models, by R.
B. Bapat . . . . . . . . . . . . . . . . 273
Walter F. Mascarenhas The Structure of the Eigenvectors of
Sparse Matrices . . . . . . . . . . . . 1--20
Andrew Lenard Structure Theory of Reciprocal Pairs of
Linear Transformations . . . . . . . . . 21--35
George Labahn and
Tamir Shalom Inversion of Toeplitz Structured
Matrices Using Only Standard Equations 49--70
Ann Sinap and
Walter Van Assche Polynomial Interpolation and Gaussian
Quadrature for Matrix-Valued Functions 71--114
Bing Sheng He New Contraction Methods for Linear
Inequalities . . . . . . . . . . . . . . 115--133
Xingping Sun Scattered Hermite Interpolation Using
Radial Basis Functions . . . . . . . . . 135--146
N. M. Missirlis and
N. G. Gaitanos Extensions of the Ostrowski-Reich
Theorem . . . . . . . . . . . . . . . . 147--157
Nam-Kiu Tsing and
Michael K. H. Fan and
Erik I. Verriest On Analyticity of Functions Involving
Eigenvalues . . . . . . . . . . . . . . 159--180
Steve Batterson Convergence of the Francis Shifted $ Q R
$ Algorithm on Normal Matrices . . . . . 181--195
André C. M. Ran and
Leiba Rodman The Rate of Convergence of Real
Invariant Subspaces . . . . . . . . . . 197--224
Evgenij E. Tyrtyshnikov Influence of Matrix Operations on the
Distribution of Eigenvalues and Singular
Values of Toeplitz Matrices . . . . . . 225--249
Anders Barrlund Perturbation Bounds for the Generalized
$ Q R $ Factorization . . . . . . . . . 251--271
T. Ja. Azizov and
P. A. Binding and
J. Bognár and
B. Najman Nondegenerate Jordan Subspaces of
Self-Adjoint Operators in Indefinite
Spaces . . . . . . . . . . . . . . . . . 37--48
Man Duen Choi and
Peter Rosenthal A Survey of Chandler Davis . . . . . . . 3--18
Fuad Kittaneh On Some Operator Inequalities . . . . . 19--28
Man Duen Choi and
Mary Beth Ruskai and
Eugene Seneta Equivalence of Certain Entropy
Contraction Coefficients . . . . . . . . 29--36
Kenneth R. Davidson and
Marc S. Ordower Some Exact Distance Constants . . . . . 37--55
V. Olevskii and
M. Solomyak An estimate for Schur multipliers in $
{S}_p$-classes . . . . . . . . . . . . . 57--64
T. Ando and
F. Hiai Inequality Between Powers of Positive
Semidefinite Matrices . . . . . . . . . 65--71
Gerd M. Krause Bounds for the Variation of Matrix
Eigenvalues and Polynomial Roots . . . . 73--82
Ludwig Elsner Perturbation Theorems for the Joint
Spectrum of Commuting Matrices: A
Conservative Approach . . . . . . . . . 83--95
Michael Stewart and
George Cybenko Perfect-Reconstruction Filtering With
Unitary Operators and Projections . . . 97--133
Stephen Pierce and
Leiba Rodman Lipschitz Properties of Some Actions of
Matrix Groups . . . . . . . . . . . . . 135--174
C. Laurie and
B. Mathes and
H. Radjavi Sums of Idempotents . . . . . . . . . . 175--197
D. Przeworska-Rolewicz Remarks on Commutators With Operators
Having Either Finite Nullity or Finite
Deficiency . . . . . . . . . . . . . . . 199--207
Avraham Feintuch Gap Metric Robustness for Linear
Time-Varying Systems . . . . . . . . . . 209--221
Takayuki Furuta A note on the arithmetic-geometric mean
inequality for every unitarily invariant
matrix norm . . . . . . . . . . . . . . 223--228
Don Hadwin An Algebraic Version of the
Multiplication Property of the Fredholm
Index . . . . . . . . . . . . . . . . . 229--230
Alexander Markus and
Vladimir Matsaev The Failure of Factorization of Positive
Matrix Functions on Noncircular Contours 231--237
Sujit Kumar Mitra Separation Theorems . . . . . . . . . . 239--256
Jin Hsien Wang and
Pei Yuan Wu Difference and Similarity Models of Two
Idempotent Operators . . . . . . . . . . 257--282
T. Ando and
Richard A. Brualdi Sign-Central Matrices . . . . . . . . . 283--295
G. W. Stewart Perturbation Theory for Rectangular
Matrix Pencils . . . . . . . . . . . . . 297--301
C. C. Paige and
M. Wei History and generality of the $ {\rm CS}
$ decomposition . . . . . . . . . . . . 303--326
Mihály Bakonyi and
Charles R. Johnson Invertible Completions of Partial
Operator Matrices: The Nonsymmetric Case 327--341
R. McEachin Analyzing Specific Cases of an Operator
Inequality . . . . . . . . . . . . . . . 343--365
Rajendra Bhatia First and Second Order Perturbation
Bounds for the Operator Absolute Value 367--376
Ilya Spitkovsky Once More on Algebras Generated by Two
Projections . . . . . . . . . . . . . . 377--395
Khakim D. Ikramov and
Vadim N. Chugunov On the Teng inverse eigenvalue problem 397--399
Seppo Hassi and
Kenneth Nordström On Projections in a Space With an
Indefinite Metric . . . . . . . . . . . 401--417
M. Omladi\vc and
M. Radjabalipour and
H. Radjavi On Semigroups of Matrices With Traces in
a Subfield . . . . . . . . . . . . . . . 419--424
W. O. Amrein and
Kalyan B. Sinha On Pairs of Projections in a Hilbert
Space . . . . . . . . . . . . . . . . . 425--435
Karl Gustafson Antieigenvalues . . . . . . . . . . . . 437--454
S. Friedland and
M. Katz On the Maximal Spectral Radius of Even
Tournament Matrices and the Spectrum of
Almost Skew-Symmetric Compact Operators 455--469
Ren Cang Li On Eigenvalue Variations of Rayleigh
Quotient Matrix Pencils of a Definite
Pencil . . . . . . . . . . . . . . . . . 471--483
Daniel Alpay and
Joseph A. Ball and
Israel Gohberg and
Leiba Rodman The Two-Sided Residue Interpolation in
the Stieltjes Class for Matrix Functions 485--521
J. A. Dias da Silva and
Daniel Hershkowitz and
Hans Schneider Sum Decompositions of Symmetric Matrices 523--537
P. A. Fuhrmann On Skew Primeness of Inner Functions . . 539--551
Gene H. Golub and
Hong Yuan Zha Perturbation analysis of the canonical
correlations of matrix pairs . . . . . . 3--28
Shubhabrata Das and
Pranab Kumar Sen Restricted Canonical Correlations . . . 29--47
Steven J. Leon Maximizing Bilinear Forms Subject to
Linear Constraints . . . . . . . . . . . 49--58
J. Dauxois and
Y. Romain and
S. Viguier-Pla Tensor Products and Statistics . . . . . 59--88
Pawe\lr R. Pordzik and
Götz Trenkler Pre-test Estimation in the Linear
Regression Model With Competing
Restrictions . . . . . . . . . . . . . . 123--137
S. R. Searle Extending Some Results and Proofs for
the Singular Linear Model . . . . . . . 139--151
A. A. Papadopoulou and
P.-C. G. Vassiliou Asymptotic Behavior of Nonhomogeneous
Semi-Markov Systems . . . . . . . . . . 153--198
D. Q. Wang and
C. R. O. Lawoko Estimation of Parameters for Normally
Distributed Random Matrices . . . . . . 199--208
Jorma Kaarlo Merikoski and
Humberto Sarria and
Pablo Tarazaga Bounds for Singular Values Using Traces 227--254
Hans Joachim Werner When is $ B^-A^- $ a Generalized Inverse
of $ A B $? . . . . . . . . . . . . . . 255--263
B. Mond and
J. E. Pe\vcari\'c Inequalities With Weights for Powers of
Generalized Inverses II . . . . . . . . 265--272
Geoff A. Latham and
Robert S. Anderssen Assessing Quantification for the EMS
Algorithm . . . . . . . . . . . . . . . 89--122
Yasuko Chikuse Generalized Noncentral Hermite and
Laguerre Polynomials in Multiple
Matrices . . . . . . . . . . . . . . . . 209--226
R. B. Bapat and
Robert E. Hartwig A master of the row space and the column
space: the mathematical work of Sujit
Kumar Mitra . . . . . . . . . . . . . . 5--14
Donald W. Robinson The Moore Idempotents of a Matrix . . . 15--26
R. B. Bapat Generalized inverses with proportional
minors . . . . . . . . . . . . . . . . . 27--33
K. Manjunatha Prasad Generalized inverses of matrices over
commutative rings . . . . . . . . . . . 35--52
Carolyn A. Eschenbach and
Frank J. Hall and
Zhongshan Li Sign Pattern Matrices and Generalized
Inverses . . . . . . . . . . . . . . . . 53--66
Georg Heinig and
Frank Hellinger Displacement Structure of Generalized
Inverse Matrices . . . . . . . . . . . . 67--83
Yong Ge Tian Reverse Order Laws for the Generalized
Inverses of Multiple Matrix Products . . 85--100
Robert E. Hartwig The weighted $ *$-core-nilpotent
decomposition . . . . . . . . . . . . . 101--111
Javad Faghih Habibi The spherical gap of the graph of a
linear transformation . . . . . . . . . 501--503
Jean Dazord On the $ {C}$-numerical range of a
matrix . . . . . . . . . . . . . . . . . 21--29
Thomas H. Pate Inequalities involving immanants . . . . 31--44
Toma\vz Ko\vsir Finite-dimensional multiparameter
spectral theory: the nonderogatory case 45--70
Chi-Kwong Li Some aspects of the theory of norms . . 71--100
Zhongshan Li and
Frank Hall and
Carolyn Eschenbach On the period and base of a sign pattern
matrix . . . . . . . . . . . . . . . . . 101--120
Wasin So Commutativity and spectra of Hermitian
matrices . . . . . . . . . . . . . . . . 121--129
Paul Van Dooren and
J. Sreedhar When is a periodic discrete-time system
equivalent to a time-invariant one? . . 131--151
Dianne P. O'Leary and
A. Yeremin The linear algebra of block quasi-Newton
algorithms . . . . . . . . . . . . . . . 153--168
A. C. M. Ran and
D. Temme Dissipative matrices and invariant
maximal semidefinite subspaces . . . . . 169--214
Peter Kunkel and
Volker Mehrmann A new look at pencils of matrix valued
functions . . . . . . . . . . . . . . . 215--248
n'Ekwunife Muoneke Doubly stochastic powers of nonnegative
irreducible matrices . . . . . . . . . . 259--266
Mark Krupnik and
Leiba Rodman Completions of partial Jordan and
Hessenberg matrices . . . . . . . . . . 267--287
Daniel Hershkowitz Paths in directed graphs and spectral
properties of matrices . . . . . . . . . 309--337
Scott H. Hochwald Multiplicative maps on matrices that
preserve the spectrum . . . . . . . . . 339--351
R. B. Bapat König's theorem and bimatroids . . . . . 353--365
J. A. Dias da Silva and
Daniel Hershkowitz and
Hans Schneider Existence of matrices with prescribed
off-diagonal block element maxima . . . 367--385
LeRoy B. Beasley and
Gwang-Yeon Lee and
Sang-Gu Lee Linear transformations that preserve the
assignment . . . . . . . . . . . . . . . 387--395
Jeffrey L. Stuart and
James R. Weaver Diagonally scaled permutations and
circulant matrices . . . . . . . . . . . 397--411
Riaz A. Usmani Inversion of a tridiagonal Jacobi matrix 413--414
Charles R. Johnson and
David P. Stanford and
D. Dale Olesky and
P. van den Driessche Dominant eigenvalues under
trace-preserving diagonal perturbations 415--435
Eugene M. Russakovskii The theory of $ {V}$-Bezoutians and its
applications . . . . . . . . . . . . . . 437--460
Ion Zaballa Similarity and block similarity . . . . 461--485
J. Ding and
L. J. Huang On the perturbation of the least squares
solutions in Hilbert spaces . . . . . . 487--500
Mei-Qin Chen and
Chichia Chiu Region-dependent optimal $m$-stage
Runge--Kutta schemes for solving a class
of nonsymmetric linear systems . . . . . 523--546
Nicholas J. Higham The matrix sign decomposition and its
relation to the polar decomposition . . 3--20
Robert M. Guralnick Invertible preservers and algebraic
groups . . . . . . . . . . . . . . . . . 249--257
Jerrold W. Grossman and
Devadatta M. Kulkarni and
Irwin E. Schochetman Algebraic graph theory without
orientation . . . . . . . . . . . . . . 289--307
A. V. Pesterev and
G. A. Tavrizov On inversion of some meromorphic
matrices . . . . . . . . . . . . . . . . 505--521
David London Diagonals of Matrices Stochastically
Similar to a Given Matrix . . . . . . . 1--10
Songqing Ding and
William H. Gustafson A Question of Guralnick About Reflexive
Algebras . . . . . . . . . . . . . . . . 11--16
Jeffrey C. Lagarias and
Yang Wang The Finiteness Conjecture for the
Generalized Spectral Radius of a Set of
Matrices . . . . . . . . . . . . . . . . 17--42
Roger A. Horn and
Dennis I. Merino Contragredient Equivalence: A Canonical
Form and Some Applications . . . . . . . 43--92
Marc Artzrouni and
Xuefeng Li A Note on the Coefficient of Ergodicity
of a Column-Allowable Nonnegative Matrix 93--101
Chi Song Wong and
Joe Masaro and
Wei Cai Deng Estimating Covariance in a Growth Curve
Model . . . . . . . . . . . . . . . . . 103--118
Roberto Costa Shape Identities in Genetic Algebras . . 119--131
Miroslav Fiedler An Estimate for the Nonstochastic
Eigenvalues of Doubly Stochastic
Matrices . . . . . . . . . . . . . . . . 133--143
Bernd Fritzsche and
Bernd Kirstein and
Vera Krug Carathéodory Sequence Parametrizations of
Potapov-Normalized Full-Rank $ J_q
$-Elementary Factors . . . . . . . . . . 145--185
Wayne W. Chen A Proof of the Generalized Picard's
Little Theorem Using Matrices . . . . . 187--192
Desmond J. Higham Condition Numbers and Their Condition
Numbers . . . . . . . . . . . . . . . . 193--213
Krzysztof Przes\lawski Faces of Convex Sets and Minkowski
Additive Selections . . . . . . . . . . 215--224
Michael K. H. Fan and
Batool Nekooie On Minimizing the Largest Eigenvalue of
a Symmetric Matrix . . . . . . . . . . . 225--246
Azaria Paz and
Mody Lempel Factorization Properties of Lattices
Over the Integers . . . . . . . . . . . 247--270
Masatoshi Fujii and
Ritsuo Nakamoto Rota's Theorem and Heinz Inequalities 271--275
Robert Grone Review of \em Matrices: Methods and
Applications by Stephen Barnett . . . . 277--279
Uwe Helmke and
Mark A. Shayman Critical Points of Matrix Least Squares
Distance Functions . . . . . . . . . . . 1--19
Johan Kos and
Hugo J. Woerdeman Hermitian Completions of Band Matrices
and Applications . . . . . . . . . . . . 21--62
F. O. Farid Criteria for Invertibility of Diagonally
Dominant Matrices . . . . . . . . . . . 63--93
Ji Guang Sun On Perturbation Bounds for the $ Q R $
Factorization . . . . . . . . . . . . . 95--111
Janez Mr\vcun Lipschitz Spectrum Preserving Mappings
on Algebras of Matrices . . . . . . . . 113--120
J.-P. Crouzeix and
J.-E. Martínez-Legaz and
A. Seeger An Alternative Theorem for Quadratic
Forms and Extensions . . . . . . . . . . 121--134
Jin Hsien Wang The Length Problem for a Sum of
Idempotents . . . . . . . . . . . . . . 135--159
Vlastimil Pták Decomposition of the Infinite Companion
and Interpolation . . . . . . . . . . . 161--178
Miroslav Fiedler and
Thomas L. Markham An Observation on the Hadamard Product
of Hermitian Matrices . . . . . . . . . 179--182
Nader H. Bshouty Multiplicative Complexity of Direct Sums
of Quadratic Systems . . . . . . . . . . 183--223
Krzysztof C. Kiwiel Block-Iterative Surrogate Projection
Methods for Convex Feasibility Problems 225--259
Moody T. Chu Scaled Toda-like Flows . . . . . . . . . 261--273
Dursun Ta\csci On a Conjecture by Goldberg and Newman 275--277
E. E. Tyrtyshnikov Circulant Preconditioners With Unbounded
Inverses . . . . . . . . . . . . . . . . 1--23
Jian Ming Miao and
Adi Ben-Israel The Geometry of Basic, Approximate, and
Minimum-Norm Solutions of Linear
Equations . . . . . . . . . . . . . . . 25--41
Georg Heinig Generalized Inverses of Hankel and
Toeplitz Mosaic Matrices . . . . . . . . 43--59
Jonathan Goodman and
Neal Madras Random-Walk Interpretations of Classical
Iteration Methods . . . . . . . . . . . 61--79
Juriaan Simonis MacWilliams Identities and Coordinate
Partitions . . . . . . . . . . . . . . . 81--91
Roy Meshulam On Two-Parameter Families of Symmetric
Matrices . . . . . . . . . . . . . . . . 93--96
G. A. Watson Estimating Hadamard Operator Norms, With
Application to Triangular Truncation . . 97--110
Hernán G. Abeledo and
Uriel G. Rothblum Courtship and Linear Programming . . . . 111--124
José Á. Hermida-Alonso and
Miriam Pisonero What Polynomial Satisfies a Given
Endomorphism? . . . . . . . . . . . . . 125--138
J. Kova\vc-Striko and
K. Veseli\'c Trace Minimization and Definiteness of
Symmetric Pencils . . . . . . . . . . . 139--158
C. Moyssiadis and
S. Chadjiconstantinidis and
S. Kounias $A$-Optimization of Exact First-Order
Saturated Designs for $ N \equiv 1 \bmod
4$ Observations . . . . . . . . . . . . 159--176
Joseph J. Rushanan Eigenvalues and the Smith Normal Form 177--184
Jian Shen Proof of a Conjecture About the Exponent
of Primitive Matrices . . . . . . . . . 185--203
Boris Kimelfeld A Generalization of Muirhead's Theorem 205--209
Da Song Cao and
Hong Yuan The Distribution of Eigenvalues of
Graphs . . . . . . . . . . . . . . . . . 211--224
C. S. Karuppanchetty and
S. Maria Arulraj Permanental Mates and Hwang's Conjecture 225--237
Seung-Hyeok Kye Positive Linear Maps Between Matrix
Algebras Which Fix Diagonals . . . . . . 239--256
Arnold Neumaier Hybrid Norms and Bounds for
Overdetermined Linear Systems . . . . . 257--265
Keith Bourque and
Steve Ligh Matrices Associated With Multiplicative
Functions . . . . . . . . . . . . . . . 267--275
J. Richard Lundgren A Brief History of John Maybee's Career 1--4
Charles A. Anderson Loop and Cyclic Niche Graphs . . . . . . 5--13
LeRoy B. Beasley and
Shumin Ye Linear Operators Which Preserve
Sign-Nonsingular Matrices . . . . . . . 15--29
Elizabeth D. Boyer and
Bryan L. Shader On Biclique Decompositions of Complete
$t$-partite Graphs . . . . . . . . . . . 31--40
R. C. Brigham and
F. R. McMorris and
R. P. Vitray Tolerance Competition Graphs . . . . . . 41--52
Karen Casey Dargen and
Kathryn Fraughnaugh Conditional Chromatic Numbers With
Forbidden Cycles . . . . . . . . . . . . 53--66
Ronald D. Dutton and
Sirisha R. Medidi and
Robert C. Brigham Changing and Unchanging of the Radius of
a Graph . . . . . . . . . . . . . . . . 67--82
David C. Fisher and
Richard B. Reeves Optimal Strategies for Random Tournament
Games . . . . . . . . . . . . . . . . . 83--85
David C. Fisher and
Jennifer Ryan Tournament Games and Condorcet Voting 87--100
D. A. Gregory and
S. J. Kirkland and
N. J. Pullman A Bound on the Exponent of a Primitive
Matrix Using Boolean Rank . . . . . . . 101--116
Karl Gustafson Matrix Trigonometry . . . . . . . . . . 117--140
Douglas Hale and
George Lady Qualitative Comparative Statics and
Audits of Model Performance . . . . . . 141--154
Charles R. Johnson and
D. Dale Olesky and
P. van den Driessche Sign Determinancy in $ L U $
Factorization of $P$-matrices . . . . . 155--166
Suh-ryung Kim and
Terry A. McKee and
F. R. McMorris and
Fred S. Roberts $p$-Competition Graphs . . . . . . . . . 167--178
Steve Kirkland Spectral Radii of Tournament Matrices
Whose Graphs Are Related by an Arc
Reversal . . . . . . . . . . . . . . . . 179--202
J. Richard Lundgren and
Sarah K. Merz and
John S. Maybee and
Craig W. Rasmussen A Characterization of Graphs With
Interval Two-Step Graphs . . . . . . . . 203--223
J. Richard Lundgren and
Sarah K. Merz and
Craig W. Rasmussen Chromatic Numbers of Competition Graphs 225--239
Thomas Lundy and
John S. Maybee and
Asok K. Sen $S$-Inverse Matrices . . . . . . . . . . 241--253
Fred S. Roberts On the Problem of Consistent Marking of
a Graph . . . . . . . . . . . . . . . . 255--263
Kazuo Murota An Identity for Matching and
Skew-Symmetric Determinant . . . . . . . 1--27
José Á. Hermida-Alonso and
M. Pilar Perez and
Tomás Sánchez-Giralda Feedback Invariants for Linear Dynamical
Systems Over a Principal Ideal Domain 29--45
C. Türke and
M. Weber On a Maximum Principle for Inverse
Monotone Matrices . . . . . . . . . . . 47--57
Georg Heinig and
Karla Rost Recursive Solution of
Cauchy--Vandermonde Systems of Equations 59--72
Roy Meshulam Spaces of Hankel Matrices Over Finite
Fields . . . . . . . . . . . . . . . . . 73--76
Artibano Micali and
Moussa Ouattara Structure des alg\`ebres de Bernstein.
(French) [Structure of Bernstein
algebras] . . . . . . . . . . . . . . . 77--88
Jean-Claude Evard Invariance and Commutativity Properties
of Some Classes of Solutions of the
Matrix Differential Equation X(t)X'(t) =
X'(t)X(t) . . . . . . . . . . . . . . . 89--102
David C. Fisher Characteristic Polynomials of Straffin
Digraphs . . . . . . . . . . . . . . . . 103--111
G. Philip A. Thijsse Symmetry Properties of and Reduction
Principles for Divisibility Relations
Between the Invariant Factors of
Products of Holomorphic Matrix Functions 113--145
David Chillag Regular Representations of Semisimple
Algebras, Separable Field Extensions,
Group Characters, Generalized
Circulants, and Generalized Cyclic Codes 147--183
B. Monson and
Asia Ivi\'c Weiss Polytopes Related to the Picard Group 185--204
Raymond H. Chan and
C. K. Wong Best-Conditioned Circulant
Preconditioners . . . . . . . . . . . . 205--211
Jerrold W. Grossman and
Devadatta M. Kulkarni and
Irwin E. Schochetman On the Minors of an Incidence Matrix and
Its Smith Normal Form . . . . . . . . . 213--224
Thomas Garrity and
Robert Mizner Invariants of Vector-Valued Bilinear and
Sesquilinear Forms . . . . . . . . . . . 225--237
Carl C. Cowen and
Kelly E. Debro and
Peter D. Sepanski Geometry and the Norms of Hadamard
Multipliers . . . . . . . . . . . . . . 239--249
Paul Binding and
Qiang Ye Variational Principles for Indefinite
Eigenvalue Problems . . . . . . . . . . 251--262
Gregory S. Ammar and
Chun Yang He On an inverse eigenvalue problem for
unitary Hessenberg matrices . . . . . . 263--271
Ivan Slapni\vcar and
Kre\vsimir Veseli\'c Perturbations of the Eigenprojections of
a Factorized Hermitian Matrix . . . . . 273--280
Carsten W. Scherer The General Nonstrict Algebraic Riccati
Inequality . . . . . . . . . . . . . . . 1--33
Dragomir \vZ. \Dbarokovi\'c and
Leonardo Legorreta Congruence of Hermitian matrices over
some localizations of $ \mbox {\bf C}[z,
z^{-1}] $ . . . . . . . . . . . . . . . 35--48
Ali H. Sayed and
Thomas Kailath Fast Algorithms for Generalized
Displacement Structures and Lossless
Systems . . . . . . . . . . . . . . . . 49--78
Darko Veljan The Sine Theorem and Inequalities for
Volumes of Simplices and Determinants 79--91
Chi-Kwong Li and
Paras P. Mehta Permutation Invariant Norms . . . . . . 93--110
Zuzana Nagyová On Classes of Normalized Matrices . . . 111--137
Takayuki Furuta Extension of the Furuta Inequality and
Ando-Hiai Log-Majorization . . . . . . . 139--155
Miguel Lacruz Norms of Schur Multipliers . . . . . . . 157--163
Hiroyuki Ishibashi Involutary expressions for elements in $
{\rm GL}_n(\mbox {\bf Z}) $ and $ {\rm
SL}_n(\mbox {\bf Z}) $ . . . . . . . . . 165--177
C. Burgueño and
C. Mallol Morphismes de Peirce et orthogonalité
dans les alg\`ebres de Bernstein.
(French) [Peirce morphisms and
orthogonality in Bernstein algebras] . . 179--186
Jan Hauke and
Augustyn Markiewicz On Partial Orderings on the Set of
Rectangular Matrices . . . . . . . . . . 187--193
Suk Geun Hwang Minimizing the Permanent over Some Faces
of the Polytope of Doubly Stochastic
Matrices . . . . . . . . . . . . . . . . 195--205
Isabel Cabral Matrices With Prescribed Submatrices and
Number of Invariant Polynomials . . . . 207--224
P. Enflo and
V. I. Gurari\uì and
V. Lomonosov and
Yu. I. Lyubich Exponential Numbers of Linear Operators
in Normed Spaces . . . . . . . . . . . . 225--260
A. J. Durán and
W. Van Assche Orthogonal Matrix Polynomials and
Higher-Order Recurrence Relations . . . 261--280
Richard A. Brualdi From the Editor-in-Chief . . . . . . . . 1
Michael I. Gil' Erratum: ``On inequalities for
eigenvalues of matrices'' [Linear
Algebra Appl. \bf 184 (1993), 201--206,
MR 94a:15027] . . . . . . . . . . . . . 1--2
P. J. Bushell and
G. B. Trustrum Erratum: ``Trace inequalities for
positive definite matrix power
products'' [Linear Algebra Appl. \bf 132
(1990), 173--178, MR 91d:15034] . . . . 2--2
R. E. Gonzalez and
D. J. Hartfiel Erratum: ``On the structure of the
stochastic idempotent matrix space''
[Linear Algebra Appl. \bf 145 (1991),
141--158, MR 92d:15017] . . . . . . . . 2--2
T. Summers and
C. R. Johnson Erratum: ``The potentially stable tree
sign patterns for dimensions less than
five'' [Linear Algebra Appl. \bf 126
(1989), 1--13, MR 91f:15043] . . . . . . 2--3
Jerzy K. Baksalary and
Friedrich Pukelsheim and
George P. H. Styan Erratum: ``Some properties of matrix
partial orderings'' [Linear Algebra
Appl. \bf 119 (1989), 57--85, MR
90h:15022] . . . . . . . . . . . . . . . 3--3
Karl Mosler Erratum: ``Majorization in economic
disparity measures'' [Linear Algebra
Appl. \bf 199 (1994), 91--114] . . . . . 3--4
K. D. Ikramov Erratum: ``A simple proof of the
generalized Schur inequality'' [Linear
Algebra Appl. \bf 199 (1994), 143--149,
MR 95i:15024] . . . . . . . . . . . . . 4--4
Roy Mathias Erratum: ``An
arithmetic-geometric-harmonic mean
inequality involving Hadamard products''
[Linear Algebra Appl. \bf 184 (1993),
71--78, MR 94b:15019] . . . . . . . . . 4--4
K. Nordström and
J. Fellman Erratum: ``Characterizations and
dispersion-matrix robustness of
efficiently estimable parametric
functionals in linear models with
nuisance parameters'' [Linear Algebra
Appl. \bf 127 (1990), 341--361, MR
91d:62098] . . . . . . . . . . . . . . . 4--5
J.-E. Martínez-Legaz and
I. Singer Erratum: ``Compatible preorders and
linear operators on $ {\bf R}^n $''
[Linear Algebra Appl. 153 (1991),
53--66, MR 92e:06018] . . . . . . . . . 5--6
Robert Grone Erratum: ``A biography of Marvin
Marcus'' [Linear Algebra Appl. \bf 201
(1994), 1--20] . . . . . . . . . . . . . 6--6
L. Kolotilina and
B. Polman Erratum: ``On incomplete block
factorization methods of generalized
SSOR type for $H$-matrices'' [Linear
Algebra Appl. 177 (1992), 111--136, MR
93k:65028] . . . . . . . . . . . . . . . 6--6
T. Markham Erratum: ``On the eigenvalues and
diagonal entries of a Hermitian matrix''
[Linear Algebra Appl. \bf 179 (1993),
7--10, MR 93k:15012] by E. Fu and
Markham . . . . . . . . . . . . . . . . 6--6
E. Spiegel Erratum: ``Sums of projections'' [Linear
Algebra Appl. \bf 187 (1993), 239--249,
MR 94m:15001] . . . . . . . . . . . . . 6--6
Lars-Erik Andersson and
Gengzhe Chang and
Tommy Elfving Criteria for Copositive Matrices Using
Simplices and Barycentric Coordinates 9--30
I. Baragaña and
I. Zaballa Block Similarity Invariants of
Restrictions to $ (A, B) $-Invariant
Subspaces . . . . . . . . . . . . . . . 31--62
Ilan Bar-On and
Bruno Codenotti A Fast and Stable Parallel $ Q R $
Algorithm for Symmetric Tridiagonal
Matrices . . . . . . . . . . . . . . . . 63--95
Alberto Borobia $ (0, \frac 12, 1) $ matrices which are
extreme points of the generalized
transitive tournament polytope . . . . . 97--110
Dragomir \vZ. \Dbarokovi\'c Cosets of Centralizers in the General
Linear Group Contain Regular Elements 111--121
B. Curtis Eaves and
Uriel G. Rothblum and
Hans Schneider Perron--Frobenius Theory Over Real
Closed Fields and Fractional Power
Series Expansions . . . . . . . . . . . 123--150
L. Elsner The Generalized Spectral-Radius Theorem:
An Analytic-Geometric Proof . . . . . . 151--159
L. Elsner and
S. Friedland Singular Values, Doubly Stochastic
Matrices, and Applications . . . . . . . 161--169
Miroslav Fiedler Numerical Range of Matrices and
Levinger's Theorem . . . . . . . . . . . 171--180
Stephen J. Kirkland and
Michael Neumann Group Inverses of $M$-Matrices
Associated With Nonnegative Matrices
Having Few Eigenvalues . . . . . . . . . 181--213
Mark Krupnik Geometric Multiplicities of Completions
of Partial Triangular Matrices . . . . . 215--227
George M. Lady and
Thomas J. Lundy and
John Maybee Nearly Sign-Nonsingular Matrices . . . . 229--248
P. Lancaster and
L. Rodman Minimal Symmetric Factorizations of
Symmetric Real and Complex Rational
Matrix Functions . . . . . . . . . . . . 249--282
Yu. Lyubich Perron--Frobenius Theory for
Finite-Dimensional Spaces With a
Hyperbolic Cone . . . . . . . . . . . . 283--309
Rosa Amélia Martins and
João Filipe Queiró Spectral Inequalities for Generalized
Rayleigh Quotients . . . . . . . . . . . 311--320
J. J. McDonald and
M. Neumann and
H. Schneider and
M. J. Tsatsomeros Inverse $M$-Matrix Inequalities and
Generalized Ultrametric Matrices . . . . 321--341
J. P. Milaszewicz Comparison Theorems for Monotone
Newton-Fourier Iterations and
Applications in Functional Elimination 343--357
B. Mond and
J. E. Pe\vcari\'c Reverse Forms of a Convex Matrix
Inequality . . . . . . . . . . . . . . . 359--364
Reinhard Nabben and
Richard S. Varga Generalized Ultrametric Matrices --- A
Class of Inverse $M$-Matrices . . . . . 365--390
Ronald J. Stern and
J. J. Ye Variational Analysis of an Extended
Eigenvalue Problem . . . . . . . . . . . 391--417
Robert C. Thompson Root Spreads for Polynomials and
Hermitian Matrix Pencils . . . . . . . . 419--433
Anonymous Referees, Volumes 201--220 . . . . . . . 435
Anonymous Author Index, Volumes 201--220 . . . . . 441
Charles Kenney and
Gary Hewer Trace Norm Bounds for Stable Lyapunov
Operators . . . . . . . . . . . . . . . 1--18
Jie Tai Yu On Relations Between Jacobians and
Minimal Polynomials . . . . . . . . . . 19--29
Werner Kratz Characterization of Strong Observability
and Construction of an Observer . . . . 31--40
H. Narayanan A Rounding Technique for the Polymatroid
Membership Problem . . . . . . . . . . . 41--57
M. Niezgoda and
Z. Otachel Differentiable Transformations
Preserving a Cone Preordering . . . . . 59--67
Philip A. Knight Fast Rectangular Matrix Multiplication
and $ Q R $ Decomposition . . . . . . . 69--81
Carl H. FitzGerald and
Charles A. Micchelli and
Allan Pinkus Functions That Preserve Families of
Positive Semidefinite Matrices . . . . . 83--102
Jiong-Sheng Li Eigenvalues of Oriented-Graph Matrices 103--110
Andrew J. Lazarus Eigenvectors of Circulant Matrices of
Prime Dimension . . . . . . . . . . . . 111--116
Luoluo Li Sufficient conditions for the
solvability of an algebraic inverse
eigenvalue problem . . . . . . . . . . . 117--129
Jia Yu Shao On the Largest $k$ th Eigenvalues of
Trees . . . . . . . . . . . . . . . . . 131--157
Zhi Hao Cao On Convergence of Nested Stationary
Iterative Methods . . . . . . . . . . . 159--170
LeRoy B. Beasley and
Stephen J. Kirkland and
Bryan L. Shader Rank Comparisons . . . . . . . . . . . . 171--188
J. M. Peña $M$-Matrices Whose Inverses Are Totally
Positive . . . . . . . . . . . . . . . . 189--193
Steve Kirkland and
Robert E. Hartwig A Convexity Result for Complex Numbers
With Applications to Nonnegative Normal
Matrices . . . . . . . . . . . . . . . . 195--204
S. Jòndrup Automorphisms and Derivations of Upper
Triangular Matrix Rings . . . . . . . . 205--218
Juan M. Gracia and
Francisco E. Velasco Stability of Invariant Subspaces of
Regular Matrix Pencils . . . . . . . . . 219--226
R. D. Grigorieff and
R. Plato On a Minimax Equality for Seminorms . . 227--243
Kazuo Toraichi and
Masaru Kamada Knot Positions for the Smoothest
Periodic Quadratic Spline Interpolation
of Equispaced Data . . . . . . . . . . . 245--251
George Labahn and
Bernhard Beckermann and
Stan Cabay Inversion of Mosaic Hankel Matrices via
Matrix Polynomial Systems . . . . . . . 253--279
Bryan E. Cain and
Roger A. Horn and
Luoluo Li Inequalities for Monotonic Arrangements
of Eigenvalues . . . . . . . . . . . . . 1--8
Joel Franklin Least-Squares Solution of Equations of
Motion Under Inconsistent Constraints 9--13
Leo Livshits A Note on $0$-$1$ Schur Multipliers . . 15--22
Haesun Park and
Sabine Van Huffel Two-Way Bidiagonalization Scheme for
Downdating the Singular-Value
Decomposition . . . . . . . . . . . . . 23--39
Xiao-jun Wu and
Jia-yu Shao and
Zhi-ming Jiang and
Xi-zhao Zhou On the Exponents of Primitive,
Ministrong Digraphs With Shortest
Elementary Circuit Length $s$ . . . . . 41--61
Shangjun Yang and
Ronghua Zhang Green's Relations in the Matrix
Semigroup $ M_n(S) $ . . . . . . . . . . 63--76
R. A. Cuninghame-Green and
P. Butkovi\vc Extremal Eigenproblem for Bivalent
Matrices . . . . . . . . . . . . . . . . 77--89
Seok-Zun Song A Conjecture on Permanents . . . . . . . 91--95
James Lee Hafner Explicit and asymptotic formulas for $
{LDM}^t $ factorization of banded
Toeplitz matrices . . . . . . . . . . . 97--126
Hong Guo Xu and
Lin Zhang Lu Properties of a Quadratic Matrix
Equation and the Solution of the
Continuous-Time Algebraic Riccati
Equation . . . . . . . . . . . . . . . . 127--145
Mau Hsiang Shih and
Jinn Wen Wu Two Results on the Spectral Radius of a
Complex Matrix, With Application to
Instability . . . . . . . . . . . . . . 147--153
Yuri Bolshakov and
Boris Reichstein Unitary Equivalence in an Indefinite
Scalar: Product An Analogue of
Singular-Value Decomposition . . . . . . 155--226
Luz M. DeAlba and
Charles R. Johnson Possible Inertia Combinations in the
Stein and Lyapunov Equations . . . . . . 227--240
Jaroslav Kautsky and
Radka Turcajová Pollen Product Factorization and
Construction of Higher Multiplicity
Wavelets . . . . . . . . . . . . . . . . 241--260
Kazuo Murota An Identity for Bipartite Matching and
Symmetric Determinant . . . . . . . . . 261--274
Zden\vek Vav\vrín Miroslav Fiedler and Vlastimil Pták: life
and work . . . . . . . . . . . . . . . . 3--29
Daniel Alpay and
Vladimir Bolotnikov Two-Sided Interpolation for Matrix
Functions With Entries in the Hardy
Space . . . . . . . . . . . . . . . . . 31--56
T. Ando Majorization Relations for Hadamard
Products . . . . . . . . . . . . . . . . 57--64
H. Arizmendi and
V. Müller On Algebras Without Generalized
Topological Divisors of Zero . . . . . . 65--71
Wayne W. Barrett and
Michael E. Lundquist and
Charles R. Johnson and
Hugo J. Woerdeman Completing a Block Diagonal Matrix With
a Partially Prescribed Inverse . . . . . 73--87
LeRoy B. Beasley and
Shumin Ye Linear Operators Preserving $L$-Matrices 89--98
Roberto Bevilacqua and
Nazzareno Bonanni and
Enrico Bozzo On Algebras of Toeplitz Plus Hankel
Matrices . . . . . . . . . . . . . . . . 99--118
Rajendra Bhatia and
Chandler Davis A Cauchy--Schwarz Inequality for
Operators With Applications . . . . . . 119--129
Alberto Borobia On the Nonnegative Eigenvalue Problem 131--140
Richard A. Brualdi and
Amélia Fonseca Colorability of Induced Matroids . . . . 141--153
Aniekan A. Ebiefung Existence Theory and $Q$-Matrix
Characterization for the Generalized
Linear Complementarity Problem . . . . . 155--169
Miroslav Engli\vs Toeplitz operators and the Berezin
transform on $ {H}^2 $ . . . . . . . . . 171--204
M. I. Gekhtman and
M. Shmo\uìsh On Invertibility of Nonsquare
Generalized Bezoutians . . . . . . . . . 205--241
Andrea Gombani On the Schmidt Pairs of Multivariable
Hankel Operators and Robust Control . . 243--265
Michael M. Green and
Alan N. Willson, Jr. Transistor Circuits and Potentially
Stable Operating Points . . . . . . . . 267--283
Peter Gritzmann and
Victor Klee and
Bit Shun Tam Cross-Positive Matrices Revisited . . . 285--305
Martin H. Gutknecht and
Marlis Hochbruck The Stability of Inversion Formulas for
Toeplitz Matrices . . . . . . . . . . . 307--324
Sy-Ming Guu and
Richard W. Cottle On a Subclass of $ \mbox {\bf P}_0 $ . . 325--335
Georg Heinig Matrix Representations of Bezoutians . . 337--354
Roger A. Horn Norm Bounds for Hadamard Products and an
Arithmetic--Geometric Mean Inequality
for Unitarily Invariant Norms . . . . . 355--361
Charles R. Johnson and
William D. McCuaig and
David P. Stanford Sign Patterns that Allow Minimal
Semipositivity . . . . . . . . . . . . . 363--373
Charles R. Johnson and
Pablo Tarazaga Connections Between the Real Positive
Semidefinite and Distance Matrix
Completion Problems . . . . . . . . . . 375--391
Jaroslav Kautsky and
Radka Turcajová Discrete Biorthogonal Wavelet Transforms
as Block Circulant Matrices . . . . . . 393--413
Udo R. Krieger On a Two-Level Multigrid Solution Method
for Finite Markov Chains . . . . . . . . 415--438
Monique Laurent and
Svatopluk Poljak On a Positive Semidefinite Relaxation of
the Cut Polytope . . . . . . . . . . . . 439--461
Chi-Kwong Li and
Nam-Kiu Tsing Linear Maps Relating Different Unitary
Similarity Orbits or Different
Generalized Numerical Ranges . . . . . . 463--481
Raphael Loewy and
Stephen Pierce Linear Preservers of Balanced
Nonsingular Inertia Classes . . . . . . 483--499
Ivo Marek On Square Roots of $M$-Operators . . . . 501--520
Reinhard Nabben and
Richard S. Varga On Classes of Inverse $Z$-Matrices . . . 521--552
Barry W. Peyton and
Alex Pothen and
Xiaoqing Yuan A Clique-Tree Algorithm for Partitioning
a Chordal Graph Into Transitive
Subgraphs . . . . . . . . . . . . . . . 553--588
Ji\vrí Rohn Checking Bounds on Solutions of Linear
Interval Equations is NP-Hard . . . . . 589--596
Karla Rost and
Zden\vek Vav\vrín Recursive Solution of Löwner-Vandermonde
Systems of Equations II . . . . . . . . 597--617
Ronald L. Smith Some Results on a Partition of
$Z$-Matrices . . . . . . . . . . . . . . 619--629
P. G. Spain A Discrete Variation on Kronecker's
Theorem . . . . . . . . . . . . . . . . 631--636
P. G. Spain Tracking Poles, Representing Hankel
Operators, and the Nehari Problem . . . 637--694
Roman Sznajder and
M. Seetharama Gowda Generalizations of $ \mbox {\bf P}_0 $-
and $ \mbox {\bf P} $-Properties,
Extended Vertical and Horizontal Linear
Complementarity Problems . . . . . . . . 695--715
Reha H. Tütüncü and
Michael J. Todd Reducing Horizontal Linear
Complementarity Problems . . . . . . . . 717--729
George Visick A weak majorization involving the
matrices $ {A} \circ {B} $ and $ {AB} $ 731--744
Ömer E\ugecio\uglu Parallelogram-Law-Type Identities . . . 1--12
Khalid Benabdallah and
Bernard Charles Orbits of Invariant Subspaces of
Algebraic Linear Operators . . . . . . . 13--22
Gong Ning Chen and
Hui Pin Zhang Note on Products of Bezoutians and
Hankel Matrices . . . . . . . . . . . . 23--35
Lawrence A. Harris Factorizations of Operator Matrices . . 37--41
João F. Queiró and
Eduardo M. Sá Singular Values and Invariant Factors of
Matrix Sums and Products . . . . . . . . 43--56
Jong-Sheng Guo and
Wen-Wei Lin and
Chern-Shuh Wang Numerical Solutions for Large Sparse
Quadratic Eigenvalue Problems . . . . . 57--89
Olga Azenhas Opposite Littlewood--Richardson
Sequences and Their Matrix Realizations 91--116
L. Yu. Kolotilina Two-Sided Bounds for the Inverse of an
$H$-Matrix . . . . . . . . . . . . . . . 117--123
P. R. Graves-Morris and
C. R. Johnson Determinantal Inequalities for
Diagonally Signed Matrices and an
Application to Gram-Cauchy Matrices . . 125--140
Daniel Alpay and
Philippe Loubaton The Partial Trigonometric Moment Problem
on an Interval: The Matrix Case . . . . 141--161
Achouri Abdelhak Approximation positive contractante en
norme trace. (French) [Approximation in
the trace norm by a positive
contraction] . . . . . . . . . . . . . . 163--173
S. Bouali and
J. Charles Extension de la notion d'opérateur $
{D}$-symétrique. II. (French) [Extension
of the notion of $ {D}$-symmetric
operator. II] . . . . . . . . . . . . . 175--185
C. Mallol and
R. Varro \`A propos des alg\`ebres vérifiant $
x^{[3]} = \omega (x)^3 x $. (French) [On
algebras satisfying $ x^{[3]} = \omega
(x)^3 x$] . . . . . . . . . . . . . . . 187--194
Fridrich Sloboda and
Fiorella Sgallari On Iterative Solution of Linear
Equations Arising in BVPs of ODEs . . . 195--205
L. Brugnano and
D. Trigiante Polynomial Roots: The Ultimate Answer? 207--219
Tomasz Szulc Some Remarks on a Theorem of Gudkov . . 221--235
Tin-Zhu Huang A Note on Generalized Diagonally
Dominant Matrices . . . . . . . . . . . 237--242
J. H. van Lint Preface . . . . . . . . . . . . . . . . 1--8
René Peeters Uniqueness of Strongly Regular Graphs
Having Minimal $p$-Rank . . . . . . . . 9--31
L. Storme and
J. A. Thas $k$-Arcs and Partial Flocks . . . . . . 33--45
Aart Blokhuis and
Henny A. Wilbrink and
Attila Sali Perfect Sumsets in Finite Abelian Groups 47--56
M. Bernstein and
N. J. A. Sloane Some Canonical Sequences of Integers . . 57--72
R. B. Bapat and
Permanents Permanents, Max Algebra and Optimal
Assignment . . . . . . . . . . . . . . . 73--86
Dina Ghinelli and
Stefan Löwe Generalized Quadrangles With a Regular
Point and Association Schemes . . . . . 87--104
A. J. Hoffman and
P. Wolfe and
M. Hofmeister A Note on Almost Regular Matrices . . . 105--108
Peter J. Cameron Sequence Operators From Groups . . . . . 109--113
S. E. Payne A Tensor Product Action on $q$-Clan
Generalized Quadrangles With $ q = 2 e$ 115--137
Edwin R. van Dam Regular Graphs With Four Eigenvalues . . 139--162
Bruce Reznick Some Constructions of Spherical
5-Designs . . . . . . . . . . . . . . . 163--196
D. G. Higman Rank $5$ Association Schemes and
Triality . . . . . . . . . . . . . . . . 197--222
Yury J. Ionin and
Mohan S. Shrikhande Equidistant Families of Sets . . . . . . 223--235
Christopher Parker and
Vladimir D. Tonchev Linear Codes and Doubly Transitive
Symmetric Designs . . . . . . . . . . . 237--246
Peter Rowlinson Star Partitions and Regularity in Graphs 247--265
A. E. Brouwer Toughness and Spectrum of a Graph . . . 267--271
C. D. Godsil and
J. H. Koolen On the Multiplicity of Eigenvalues of
Distance-Regular Graphs . . . . . . . . 273--275
Peter Boyvalenkov Computing Distance Distributions of
Spherical Designs . . . . . . . . . . . 277--286
Arjeh M. Cohen and
David B. Wales $ {\rm SL}(3, 3) $ is Not a Maximal
Subgroup of the Lie Group of Type $ F_4
$ . . . . . . . . . . . . . . . . . . . 287--296
Hans Sterk Lattices and $ K3 $ Surfaces of Degree
$6$ . . . . . . . . . . . . . . . . . . 297--309
Hans Cuypers Regular Quaternionic Polytopes . . . . . 311--329
W. Plesken Solving $ X X^{\rm tr} = A $ over the
integers . . . . . . . . . . . . . . . . 331--344
F. van der Blij Regular Polygons in Euclidean Space . . 345--352
M. L. J. Hautus Substitution of Matrices Over Rings . . 353--370
Irving Kaplansky A Contribution to von Neumann's Theory
of Games. II . . . . . . . . . . . . . . 371--373
H. S. M. Coxeter Some Applications of Trilinear
Coordinates . . . . . . . . . . . . . . 375--388
Ross Baldick Refined Proximity and Sensitivity
Results in Linearly Constrained Convex
Separable Integer Programming . . . . . 389--407
Richard A. Brualdi and
Suk Geun Hwang Matrices All of Whose Principal
Submatrices of Some Order Have a Nonzero
Permanent . . . . . . . . . . . . . . . 409--421
J. Angel and
C. Trimble and
B. Shook and
A. Terras Graph Spectra for Finite Upper Half
Planes Over Rings . . . . . . . . . . . 423--457
Edward Spence Regular two-graphs on $ 36 $ vertices 459--497
S. A. Hobart Krein Conditions for Coherent
Configurations . . . . . . . . . . . . . 499--508
Hein van der Holst and
László Lovász and
Alexander Schrijver On the Invariance of Colin de Verdiere's
Graph Parameter Under Clique Sums . . . 509--517
Maurits de Graaf and
Alexander Schrijver Characterizing Homotopy of Systems of
Curves on a Compact Surface by Crossing
Numbers . . . . . . . . . . . . . . . . 519--528
G. Eric Moorhouse Two-Graphs and Skew Two-Graphs in Finite
Geometries . . . . . . . . . . . . . . . 529--551
László Lovász and
Ákos Seress The Cocycle Lattice of Binary Matroids.
II . . . . . . . . . . . . . . . . . . . 553--565
I. Barany and
H. Bunting and
D. G. Larman and
J. Pach Rich Cells in an Arrangement of
Hyperplanes . . . . . . . . . . . . . . 567--575
Renee Woo and
Arnold Neumaier On Graphs Whose Smallest Eigenvalue is
at Least $ - 1 - \sqrt {2} $ . . . . . . 577--591
Willem H. Haemers Interlacing Eigenvalues and Graphs . . . 593--616
R. H. Jeurissen Special Sets of Lines in $ {\rm PG}(3,
2) $ . . . . . . . . . . . . . . . . . . 617--638
Rajendra Bhatia Perturbation Bounds for the Operator
Absolute Value . . . . . . . . . . . . . 639--645
A. R. Calderbank and
Gary McGuire $ {\bf Z}_4 $-linear codes obtained as
projections of Kerdock and
Delsarte-Goethals codes . . . . . . . . 647--665
Michel Deza and
Viatcheslav Grishukhin Delaunay Polytopes of Cut Lattices . . . 667--685
Pierre de la Harpe and
François Jaeger Chromatic Invariants for Finite Graphs:
Theme and Polynomial Variations . . . . 687--722
J. van den Heuvel Hamilton Cycles and Eigenvalues of
Graphs . . . . . . . . . . . . . . . . . 723--730
G. B. Khosrovshahi and
Ch. Maysoori On the Bases for Trades . . . . . . . . 731--748
William M. Kantor Quaternionic Line-Sets and Quaternionic
Kerdock Codes . . . . . . . . . . . . . 749--779
Krzysztof C. Kiwiel Iterative Schemes for the Least 2-Norm
Solution of Piecewise Linear Programs 1--7
Chang Qin Xu Bellman's Inequality . . . . . . . . . . 9--14
Isabel Faria Multiplicity of Integer Roots of
Polynomials of Graphs . . . . . . . . . 15--35
F. A. Arlinghaus and
L. N. Vaserstein and
You Hong Products of Involutory Matrices Over
Rings . . . . . . . . . . . . . . . . . 37--47
Carmine Di Fiore and
Paolo Zellini Matrix Decompositions Using Displacement
Rank and Classes of Commutative Matrix
Algebras . . . . . . . . . . . . . . . . 49--99
Khalide Jbilou Projection-Minimization Methods for
Nonsymmetric Linear Systems . . . . . . 101--125
Jin Hsien Wang Sums and Products of Two Quadratic
Matrices . . . . . . . . . . . . . . . . 127--149
John A. Holbrook Interpenetration of Ellipsoids and the
Polynomial Bound of a Matrix . . . . . . 151--166
H. Hu Positive Definite Constrained
Least-Squares Estimation of Matrices . . 167--174
Yixun Shi Solving Linear Systems Involved in
Constrained Optimization . . . . . . . . 175--189
Anonymous Announcement: Alston S. Householder
Award VII . . . . . . . . . . . . . . . 1
K. R. Davidson and
K. J. Harrison and
U. A. Mueller Rank Decomposability in Incident Spaces 3--19
Helmer Aslaksen and
Eng-Chye Tan and
Chen-Bo Zhu Free Resolutions of Generic Symmetric
Matrices . . . . . . . . . . . . . . . . 21--34
Pierre Semal Monotone Iterative Methods for Markov
Chains . . . . . . . . . . . . . . . . . 35--46
Xie Zhang Li The Convergence Rate of the Chebyshev
sim Under a Perturbation of a Complex
Line-Segment Spectrum . . . . . . . . . 47--60
James W. Demmel and
Alan Edelman The Dimension of Matrices (Matrix
Pencils) With Given Jordan (Kronecker)
Canonical Forms . . . . . . . . . . . . 61--87
Juang Jong Existence of Algebraic Matrix Riccati
Equations Arising in Transport Theory 89--100
Collette R. Coullard and
H. Ng Peh Totally Unimodular Leontief Directed
Hypergraphs . . . . . . . . . . . . . . 101--125
Enrico Bozzo Algebras of Higher Dimension for
Displacement Decompositions and
Computations With Toeplitz plus Hankel
Matrices . . . . . . . . . . . . . . . . 127--150
Axel Boldt Methods to Determine Coxeter Polynomials 151--164
L. Vaserstein and
E. Wheland Products of Conjugacy Classes of Two by
Two Matrices . . . . . . . . . . . . . . 165--188
Stephen H. Friedberg and
Arnold J. Insel Characterizations of Subnormal Matrices 1--13
Jong-Shenq Guo and
Wen-Wei Lin and
Chern-Shuh Wang Nonequivalence Deflation for the
Solution of Matrix Latent Value Problems 15--45
Leonid Gurvits Stability of Discrete Linear Inclusion 47--85
Alain Duchamp Circuit Separation for Symmetric
Matroids . . . . . . . . . . . . . . . . 87--103
B. Z. Shapiro and
M. Z. Shapiro On the Boundary of Totally Positive
Upper Triangular Matrices . . . . . . . 105--109
Jin Hsien Wang Factorization of Matrices Into Quadratic
Ones. II . . . . . . . . . . . . . . . . 111--152
M. H. Lim A Uniqueness Theorem on Symmetric
Tensors . . . . . . . . . . . . . . . . 153--157
William H. Gustafson Quivers and Matrix Equations . . . . . . 159--174
William C. Waterhouse Orthogonal Similarity and Pairs of
Quadratic Forms . . . . . . . . . . . . 175--179
Martin Ohsmann Fast Transforms of Toeplitz Matrices . . 181--192
Evgenij E. Tyrtyshnikov A Unifying Approach to Some Old and New
Theorems on Distribution and Clustering 1--43
V. Kreinovich and
A. V. Lakeyev and
S. I. Noskov Approximate Linear Algebra Is
Intractable . . . . . . . . . . . . . . 45--54
J. A. Dias da Silva Flags and Equality of Tensors . . . . . 55--75
P. Tarazaga and
T. L. Hayden and
Jim Wells Circum-Euclidean Distance Matrices and
Faces . . . . . . . . . . . . . . . . . 77--96
David A. Schmidt and
Chjan C. Lim Full Sign-Invertibility and Symplectic
Matrices . . . . . . . . . . . . . . . . 97--110
Vlad Ionescu and
Cristian Oar\ua Generalized Continuous-Time Riccati
Theory . . . . . . . . . . . . . . . . . 111--130
M. Madalena Martins and
M. Estela Trigo and
M. Madalena Santos An Error Bound for the SSOR and USSOR
Methods . . . . . . . . . . . . . . . . 131--147
Miroslav Fiedler A Note on the Row-Rhomboidal Form of a
Matrix . . . . . . . . . . . . . . . . . 149--154
Ma. Asunción Beitia and
Juan-Miguel Gracia Sylvester Matrix Equation for Matrix
Pencils . . . . . . . . . . . . . . . . 155--197
Miroslav Fiedler and
Thomas L. Markham Some Results on the Bergstrom and
Minkowski Inequalities . . . . . . . . . 199--211
A. Hadjidimos and
D. Noutsos and
M. Tzoumas On the Exact $p$-Cyclic SSOR Convergence
Domains . . . . . . . . . . . . . . . . 213--236
Raymond H. Chan and
Michael K. Ng and
C. K. Wong Sine Transform Based Preconditioners for
Symmetric Toeplitz Systems . . . . . . . 237--259
William Y. C. Chen and
James D. Louck The Combinatorial Power of the Companion
Matrix . . . . . . . . . . . . . . . . . 261--278
Anonymous Call for Challenges in Matrix Theory . . 1
Roberto Bevilacqua and
Paolo Zellini Structure of Algebras of Commutative
Matrices . . . . . . . . . . . . . . . . 5--41
M. A. Dehghan and
M. Radjabalipour On Products of Unbounded Collections of
Matrices . . . . . . . . . . . . . . . . 43--49
Karla Rost and
Zden\vek Vav\vrín Recursive Solution of Löwner-Vandermonde
Systems of Equations I . . . . . . . . . 51--65
Reinhard Nabben A Note on Comparison Theorems for
Splittings and Multisplittings of
Hermitian Positive Definite Matrices . . 67--80
Yonghong Chen and
Stephen J. Kirkland and
Michael Neumann Nonnegative Alternating Circulants
Leading to $M$-Matrix Group Inverses . . 81--97
Frieder Knüppel Products of Similar Matrices . . . . . . 99--108
H. Väliaho Criteria for Sufficient Matrices . . . . 109--129
Jose A. Hermida-Alonso and
M. Pilar Perez and
Tomas Sanchez-Giralda Brunovsky's Canonical Form for Linear
Dynamical Systems over Commutative Rings 131--147
Zeev Nutov and
Michal Penn On non-$ \{ 0, \frac 12, 1 \} $ extreme
points of the generalized transitive
tournament polytope . . . . . . . . . . 149--159
Richard Varro Dupliquée d'une train alg\`ebre et d'une
alg\`ebre de Bernstein périodique.
(French) [Duplicate of a train algebra
and of a periodic Bernstein algebra] . . 161--165
Suk-Geun Hwang and
Si-Ju Kim and
Seok-Zun Song On Convertible Complex Matrices . . . . 167--173
Wen Li and
Mou-Cheng Zhang On Upper Triangular Block Weak Regular
Splittings of a Singular $M$-Matrix . . 175--187
Hans Gradl A Result on Exponents of
Finite-Dimensional Simple Lie Algebras
and Its Application to Kac--Moody
Algebras . . . . . . . . . . . . . . . . 189--206
Xu-Zhou Chen and
Robert E. Hartwig The Hyperpower Iteration Revisited . . . 207--229
Shu-An Hu and
Eugene Spiegel The Similarity Class of a Matrix . . . . 231--241
S. González and
J. C. Gutiérrez and
C. Martínez Second Order Bernstein Algebras of
Dimension $4$ . . . . . . . . . . . . . 243--273
Michael H. Freedman and
William H. Press Truncation of Wavelet Matrices: Edge
Effects and the Reduction of Topological
Control . . . . . . . . . . . . . . . . 1--19
C. Brezinski The Methods of Vorobyev and Lanczos . . 21--41
Gustaf Gripenberg Computing the Joint Spectral Radius . . 43--60
Yi-Jia Tan and
Mou-Cheng Zhang Primitivity of Generalized Circulant
Boolean Matrices . . . . . . . . . . . . 61--69
Ricardo D. Fierro and
James R. Bunch Perturbation Theory for Orthogonal
Projection Methods With Applications to
Least Squares and Total Least Squares 71--96
Ying Huang A Canonical Form for Pencils of Matrices
With Applications to Asymptotic Linear
Programs . . . . . . . . . . . . . . . . 97--123
Hong Goo Park $p$-Groups in the Betti-Mathieu Group 125--135
Andrew A. Anda and
Haesun Park Self-Scaling Fast Rotations for Stiff
and Equality-Constrained Linear Least
Squares Problems . . . . . . . . . . . . 137--161
G. A. Watson Computing the Numerical Radius . . . . . 163--172
Leonid Khachiyan Diagonal Matrix Scaling is NP-Hard . . . 173--179
M. Domokos Criteria for Vanishing of Eulerian
Polynomials on $ n \times n $ Matrices 181--195
Liping Huang The Matrix Equation $ A X B - G X D = E
$ Over the Quaternion Field . . . . . . 197--208
Krzysztof Ga\lkowski Matrix Description of Multivariable
Polynomials . . . . . . . . . . . . . . 209--226
Caixing Gu and
Onur Toker and
Hitay Özbay On the Two-Block $ H(\infty) $ Problem
for a Class of Unstable Distributed
Systems . . . . . . . . . . . . . . . . 227--244
K. Manjunatha Prasad and
K. P. S. Bhaskara Rao On Bordering of Regular Matrices . . . . 245--259
Jean-Daniel Rolle Optimization of Functions of Matrices
With an Application in Statistics . . . 261--275
Charles Waters Sign Pattern Matrices That Allow
Orthogonality . . . . . . . . . . . . . 1--13
J. Ferrer and
F. Puerta and
X. Puerta Geometric Characterization and
Classification of Marked Subspaces . . . 15--34
A. Dean and
J. A. de la Peña Algorithms for Weakly Nonnegative
Quadratic Forms . . . . . . . . . . . . 35--46
Moussa Ouattara Sur une classe d'alg\`ebres \`a
puissances associatives. (French) [On a
class of power-associative algebras] . . 47--62
Ismail M. Idris On Unitary Groups Modulo Infinitesimals 63--76
Yangfeng Su Generalized Multisplitting Asynchronous
Iteration . . . . . . . . . . . . . . . 77--92
Shu-An Hu Maximum Permanent and Hermitian Matrices 93--105
Andrzej Nowicki On the Nonexistence of Rational First
Integrals for Systems of Linear
Differential Equations . . . . . . . . . 107--120
Philip Feinsilver and
Robert Fitzgerald The Spectrum of Symmetric Krawtchouk
Matrices . . . . . . . . . . . . . . . . 121--139
Sang Leong Tuck An Upper Bound on the Growth Ratio of
Gaussian Elimination . . . . . . . . . . 141--152
Takayuki Furuta Generalizations of Kosaki Trace
Inequalities and Related Trace
Inequalities on Chaotic Order . . . . . 153--161
R. Westwick Spaces of Matrices of Fixed Rank. II . . 163--169
S. Barnett and
R. E. Hartwig Special Rank-One Perturbations . . . . . 171--190
Bernd Fritzsche and
Stefan H. Fuchs and
Bernd Kirstein On Resolvent Matrices for Nondegenerate
Matricial Schur Problems . . . . . . . . 191--220
D. Goeleven A Uniqueness Theorem for the
Generalized-Order Linear Complementary
Problem Associated with $M$-Matrices . . 221--227
Lajos Molnár A condition for a subspace of $ {\cal
B}(H) $ to be an ideal . . . . . . . . . 229--234
Hua Dai Completing a Symmetric $ 2 \times 2 $
Block Matrix and Its Inverse . . . . . . 235--245
Vassilis S. Kouikoglou and
Nikos C. Tsourveloudis Eigenvalue Bounds on the Solutions of
Coupled Lyapunov and Riccati Equations 247--259
E. L. Yip A Necessary and Sufficient Condition for
$M$-Matrices and Its Relation to Block $
L U$ Factorization . . . . . . . . . . . 261--274
Renato De Leone and
R. W. Cottle and
J-S Pang and
R. E. Stone Review of \em The Linear Complementarity
Problem by R. W. Cottle, J.-S. Pang and
R. E. Stone . . . . . . . . . . . . . . 275--276
Bahman Kalantari A Theorem of the Alternative for
Multihomogeneous Functions and Its
Relationship to Diagonal Scaling of
Matrices . . . . . . . . . . . . . . . . 1--24
Reginaldo J. Santos Equivalence of Regularization and
Truncated Iteration for General
Ill-Posed Problems . . . . . . . . . . . 25--33
Dong Kim Sang A remark on the eigenvalue distribution
of the preconditioning collocation
scheme with $ \mbox {\bf P}_3 $ finite
element stiffness matrix . . . . . . . . 35--42
Vlastimil Pták Möbius Functions of the Shift and
Extremal Operators . . . . . . . . . . . 43--51
Michael Renardy Singular Value Decomposition in
Minkowski Space . . . . . . . . . . . . 53--58
Vlad Ionescu Reverse Discrete-Time Riccati Equation
and Extended Nehari's Problem . . . . . 59--94
Henry Wolkowicz Explicit Solutions for Interval
Semidefinite Linear Programs . . . . . . 95--104
Edgar M. E. Wermuth A Remark on Equidistance in Hilbert
Spaces . . . . . . . . . . . . . . . . . 105--111
Ming-Peng Gong Generalized Symmetric Tensors and
Related Topics . . . . . . . . . . . . . 113--129
Hourong Qin Fermat's Problem and Goldbach's Problem
Over $ M_n \mbox {\bf Z} $ . . . . . . . 131--135
Lei Wu and
Bryan Cain The Re-nonnegative definite solutions to
the matrix inverse problem $ {AX} = {B}
$ . . . . . . . . . . . . . . . . . . . 137--146
Balder Ortner and
Arnold R. Kräuter Lower Bounds for the Determinant and the
Trace of a Class of Hermitian Matrices 147--180
Ronghua Shi Path Polynomials of a Graph . . . . . . 181--187
Zhi-Xiong Wen On the Transfer Matrices of Fractals . . 189--203
A. Scottedward Hodel and
Bruce Tenison and
Kameshwar R. Poolla Numerical Solution of the Lyapunov
Equation by Approximate Power Iteration 205--230
Rafael Bru and
Joan-Josep Climent and
Charles R. Johnson On the Perron Eigenvalue of a Block
Cocyclic Pair of Nonnegative Matrices 231--243
Stephen Barnett Leverrier's Algorithm for Orthogonal
Polynomial Bases . . . . . . . . . . . . 245--263
Willem H. Haemers Distance-Regularity and the Spectrum of
Graphs . . . . . . . . . . . . . . . . . 265--278
Simo Puntanen and
George P. H. Styan A brief biography and appreciation of
Calyampudi Radhakrishna Rao [b. 1920],
with a bibliography of his books and
papers . . . . . . . . . . . . . . . . . 1--40
Sujit Kumar Mitra and
K. Manjunatha Prasad The Nonunique Shorted Matrix . . . . . . 41--70
Jianming Miao and
Adi Ben-Israel Product Cosines of Angles Between
Subspaces . . . . . . . . . . . . . . . 71--81
Donald W. Robinson The Determinantal-Rank Idempotents of a
Matrix . . . . . . . . . . . . . . . . . 83--96
Xuzhou Chen and
Robert E. Hartwig The Group Inverse of a Triangular Matrix 97--108
K. P. S. Bhaskara Rao Generalized Inverses With Respect to
General Norms. III . . . . . . . . . . . 109--113
Jerzy K. Baksalary and
Augustyn Markiewicz Further Results on Invariance of the
Eigenvalues of Matrix Products Involving
Generalized Inverses . . . . . . . . . . 115--121
Heinz Neudecker and
Shuangzhe Liu The Density of the Moore--Penrose
Inverse of a Random Matrix . . . . . . . 123--126
Heinz Neudecker The Asymptotic Variance Matrices of the
Sample Correlation Matrix in Elliptical
and Normal Situations and Their
Proportionality . . . . . . . . . . . . 127--132
Yasuko Chikuse Edgeworth and Saddle-Point
Approximations for Random Rectangular
Matrices . . . . . . . . . . . . . . . . 133--153
Björn Holmquist The $d$-Variate Vector Hermite
Polynomial of Order $k$ . . . . . . . . 155--190
Shagufta A. Sultan and
Derrick S. Tracy Moments of the Complex Multivariate
Normal Distribution . . . . . . . . . . 191--204
Richard William Farebrother Some Early Statistical Contributions to
the Theory and Practice of Linear
Algebra . . . . . . . . . . . . . . . . 205--224
Wietse Dol and
Ton Steerneman and
Tom Wansbeek Matrix Algebra and Sampling Theory: The
Case of the Horvitz--Thompson Estimator 225--238
Jean-Jacques Téchené Sur la notion de projection orthogonale
dans un espace semi-euclidien. (French)
[On the notion of orthogonal projection
in a semi-Euclidean space] . . . . . . . 239--268
Jürgen Gross and
Götz Trenkler On the Least Squares Distance Between
Affine Subspaces . . . . . . . . . . . . 269--276
Hans Schneeweiss The Reduced Form of Recursive Models:
Small Sample Properties . . . . . . . . 277--300
Paul A. Bekker and
Tom J. Wansbeek Proxies versus Omitted Variables in
Regression Analysis . . . . . . . . . . 301--312
Simo Puntanen and
Alastair J. Scott Some Further Remarks on the Singular
Linear Model . . . . . . . . . . . . . . 313--327
Stephen Haslett Updating Linear Models With Dependent
Errors to Include Additional Data and/or
Parameters . . . . . . . . . . . . . . . 329--349
Hasik Sunwoo Simple Algorithms About Kronecker
Products in the Linear Model . . . . . . 351--358
H. J. Werner and
C. Yapar On Inequality Constrained Generalized
Least Squares Selections in the General
Possibly Singular Gauss--Markov Model: A
Projector Theoretical Approach . . . . . 359--393
Hans Joachim Werner and
Cemil Yapar A BLUE Decomposition in the General
Linear Regression Model . . . . . . . . 395--404
Michael D. Perlman On Stochastic Majorization of the
Eigenvalues of a Wishart Matrix . . . . 405--428
Kenneth Nordström and
Thomas Mathew Inequalities for Sums of Matrix
Quadratic Forms . . . . . . . . . . . . 429--447
B. Mond and
J. E. Pe\vcari\'c A Mixed Arithmetic-Mean-Harmonic-Mean
Matrix Inequality . . . . . . . . . . . 449--454
Josip E. Pe\vcari\'c and
Simo Puntanen and
George P. H. Styan Some Further Matrix Extensions of the
Cauchy--Schwarz and Kantorovich
Inequalities, With Some Statistical
Applications . . . . . . . . . . . . . . 455--476
Peter \vSemrl On a Matrix Version of Cochran's
Statistical Theorem . . . . . . . . . . 477--487
Jerzy K. Baksalary and
Peter \vSemrl and
George P. H. Styan A Note on Rank Additivity and Range
Additivity . . . . . . . . . . . . . . . 489--498
Robert E. Hartwig and
Matja\vz Omladi\vc and
Peter \vSemrl and
George P. H. Styan On Some Characterizations of Pairwise
Star Orthogonality Using Rank and Dagger
Additivity and Subtractivity . . . . . . 499--507
D. Collombier Tableaux \`a fréquences marginales
d'ordre $2$ proportionnelles. (French)
[Proportional second-order marginal
frequency arrays] . . . . . . . . . . . 509--537
A. El Mossadeq Fractions de résolution $w$ et groupes
abéliens finis. (French) [Resolution-$w$
fractions and finite Abelian groups] . . 539--547
A. C. Georgiou and
N. Tsantas Nonstationary Cyclic Behavior in Markov
Systems . . . . . . . . . . . . . . . . 549--578
André Klein and
Peter Spreij On Fisher's Information Matrix of an
ARMAX Process and Sylvester's Resultant
Matrices . . . . . . . . . . . . . . . . 579--590
Florence Corpet and
Artibano Micali Alg\`ebres genétiques et mutation
quantique. (French) [Genetic algebras
and quantum mutation] . . . . . . . . . 1--14
Chi Fai Chan Refinements of the Schur Inequality for
Principal Characters . . . . . . . . . . 15--27
Po-Fang Hsieh and
Mitsuhiko Kohno and
Yasutaka Sibuya Construction of a fundamental matrix
solution at a singular point of the
first kind by means of the $ {SN} $
decomposition of matrices . . . . . . . 29--76
M. N. Spijker and
F. A. J. Straetemans Stability Estimates for Families of
Matrices of Nonuniformly Bounded Order 77--102
Hannu Väliaho $ \mbox {\bf P}_* $-matrices are just
sufficient . . . . . . . . . . . . . . . 103--108
Thomas L. Moeller and
Jaime Milstein Algebraic Representations for
Finite-State Machines. I. Monoid-Ring
Formulation . . . . . . . . . . . . . . 109--126
Akio Arimoto and
Takashi Ito Singularly Positive Definite Sequences
and Parametrization of Extreme Points 127--149
Shu-Lin Liu Bounds for the Greatest Characteristic
Root of a Nonnegative Matrix . . . . . . 151--160
Vladimir Matsaev and
Vadim Olshevsky Cyclic Dimensions, Kernel
Multiplicities, and Gohberg-Kaashoek
Numbers . . . . . . . . . . . . . . . . 161--174
Katsutoshi Takahashi Eigenvalues of Matrices With Given Block
Upper Triangular Part . . . . . . . . . 175--184
Ismor Fischer and
Suk-Geun Hwang Certain Nonbarycentric Cohesive Matrices 185--200
K. R. Fuller and
W. K. Nicholson and
J. F. Watters Direct Sums of Reflexive Modules . . . . 201--214
Alessandra Giovagnoli and
Henry P. Wynn Cyclic Majorization and Smoothing
Operators . . . . . . . . . . . . . . . 215--225
Irving S. Reed and
Wolfgang F. Kraske Reflections, Spinors, and Projections on
a Minkowski Space Underlie Dirac's
Equation . . . . . . . . . . . . . . . . 227--262
Mohsen Maesumi An Efficient Lower Bound for the
Generalized Spectral Radius of a Set of
Matrices . . . . . . . . . . . . . . . . 1--7
Thomas Hofmeister and
Hanno Lefmann Computing Sparse Approximations
Deterministically . . . . . . . . . . . 9--19
Jin-Hsien Wang Factorization of Matrices Into Quadratic
Ones. III . . . . . . . . . . . . . . . 21--39
L. A. V. Carvalho On Quadratic Liapunov Functionals for
Linear Difference Equations . . . . . . 41--64
Roger A. Horn and
Chi-Kwong Li and
Dennis I. Merino Distances Between the Graphs of Matrices 65--77
J. D. Botha Factorizations of a Matrix Into
Symmetric Matrices With Prescribed
Nullities . . . . . . . . . . . . . . . 79--86
Bahman Kalantari and
Leonid Khachiyan On the Complexity of Nonnegative-Matrix
Scaling . . . . . . . . . . . . . . . . 87--103
Charles R. Johnson and
Fuzhen Zhang An Operator Inequality and Matrix
Normality . . . . . . . . . . . . . . . 105--110
M. Arioli and
B. Codenotti and
C. Fassino The Padé Method for Computing the Matrix
Exponential . . . . . . . . . . . . . . 111--130
Markus Olschowka and
Arnold Neumaier A New Pivoting Strategy for Gaussian
Elimination . . . . . . . . . . . . . . 131--151
Anton A. Stoorvogel Stabilizing Solutions of the $ H_\infty
$ Algebraic Riccati Equation . . . . . . 153--172
B. L. Chalmers and
B. Shekhtman Extension Constants of Unconditional
Two-Dimensional Operators . . . . . . . 173--182
A. M. Cohen An Algebraic Approach to Certain
Differential Eigenvalue Problems . . . . 183--198
Hongyuan Zha A Note on The Existence of the
Hyperbolic Singular Value Decomposition 199--205
Peter M. Gibson Sign-Nonsingular Skew-Symmetric Matrices 207--229
Zdenek Strakos Review of \em Iterative Solution Methods
by O. Axelsson . . . . . . . . . . . . . 231--233
M. Krupnick and
L. Rodman Erratum: ``Completions of partial Jordan
and Hessenberg matrices'' [Linear
Algebra Appl. \bf 212/213 (1994),
267--287, MR 95k:15018] . . . . . . . . 235--236
Richard A. Brualdi From the Editor-in-Chief . . . . . . . . 235--238
Anonymous Editor's note: ``On a conjecture by
Goldberg and Newman'' [Linear Algebra
Appl. \bf 215 (1995), 275--277, MR
96i:15027] by Dursun Tasci . . . . . . . 237--237
M. T. Chien Erratum: ``Boundedness of the numerical
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(1990), 25--30, MR 91d:15052] . . . . . 237--237
C. K. Li Erratum: ``Some aspects of the theory of
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C. Thomassen Erratum: ``Sign-nonsingular matrices and
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87k:05120] . . . . . . . . . . . . . . . 238--238
Daniel Alpay and
Harry Dym On a New Class of Realization Formulas
and Their Application . . . . . . . . . 3--84
P. Amodio and
M. Paprzycki Parallel Solution of Almost Block
Diagonal Systems on a Hypercube . . . . 85--103
T. Ando Hadamard Products and Golden-Thompson
Type Inequalities . . . . . . . . . . . 105--112
Joseph A. Ball and
Jeongook Kim Bitangential Interpolation Problems for
Symmetric Rational Matrix Functions . . 113--152
A. Ben-Artzi and
I. Gohberg Monotone Power Method in Indefinite
Metric and Inertia Theorem for Matrices 153--166
Rafael Cantó and
Joan-Josep Climent Singular Graph and Extension of Jordan
Chains of an $M$-Matrix . . . . . . . . 167--189
Luz M. DeAlba Inertia of the Stein Transformation With
Respect to Some Nonderogatory Matrices 191--201
G. N. de Oliveira Linear Preservers of Schur Functions . . 203--210
J. A. Dias da Silva Multilinear Algebra: Recent Applications 211--223
Robert L. Ellis and
Israel Gohberg and
David C. Lay On a Class of Block Toeplitz Matrices 225--245
Sven Feldmann and
Georg Heinig Vandermonde Factorization and Canonical
Representations of Block Hankel Matrices 247--278
J. Ferrer and
Ma. I. García-Planas Structural Stability of Quadruples of
Matrices . . . . . . . . . . . . . . . . 279--290
G. Freiling and
G. Jank and
H. Abou-Kandil Generalized Riccati Difference and
Differential Equations . . . . . . . . . 291--303
Shmuel Friedland Discrete Groups of Unitary Isometries
and Balls in Hyperbolic Manifolds . . . 305--341
K. A. Gallivan and
S. Thirumalai and
P. Van Dooren and
V. Vermaut High Performance Algorithms for Toeplitz
and Block Toeplitz Matrices . . . . . . 343--388
S. González and
J. C. Gutiérrez and
C. Martínez On Regular Bernstein Algebras . . . . . 389--400
Bernard Hanzon and
Ralf L. M. Peeters A Faddeev Sequence Method for Solving
Lyapunov and Sylvester Equations . . . . 401--430
Daniel Hershkowitz and
Wenchao Huang and
Michael Neumann and
Hans Schneider Minimization of Norms and the Spectral
Radius of a Sum of Nonnegative Matrices
Under Diagonal Equivalence . . . . . . . 431--453
O. V. Holtz and
V. A. Strauss Classification of Normal Operators in
Spaces With Indefinite Scalar Product of
Rank 2 . . . . . . . . . . . . . . . . . 455--517
Matthew Hudelson and
Victor Klee and
David Larman Largest $j$-Simplices in $d$-Cubes: Some
Relatives of the Hadamard Maximum
Determinant Problem . . . . . . . . . . 519--598
Yasuhiko Ikebe and
Nobuyoshi Asai and
Yoshinori Miyazaki and
DongSheng Cai The Eigenvalue Problem for Infinite
Complex Symmetric Tridiagonal Matrices
With Application . . . . . . . . . . . . 599--618
Hiroshi Inaba and
Weiben Wang Block Decoupling for Linear Systems Over
Rings . . . . . . . . . . . . . . . . . 619--634
Charles R. Johnson and
Raphael Loewy and
D. D. Olesky and
P. van den Driessche Maximizing the Spectral Radius of Fixed
Trace Diagonal Perturbations of
Nonnegative Matrices . . . . . . . . . . 635--654
Charles R. Johnson and
Ronald L. Smith The Completion Problem for $M$-Matrices
and Inverse $M$-Matrices . . . . . . . . 655--667
D. S. Johnson and
A. C. Pugh and
E. Rogers and
G. E. Hayton and
D. H. Owens A Polynomial Matrix Theory for a Certain
Class of Two-Dimensional Linear Systems 669--703
Nicos Karcanias and
John Leventides Grassmann Invariants, Matrix Pencils,
and Linear System Properties . . . . . . 705--731
Jose Mas and
Violeta Migallon and
Jose Penades and
Daniel B. Szyld Nonstationary Parallel Relaxed
Multisplitting Methods . . . . . . . . . 733--747
Volker Mehrmann A Step Toward a Unified Treatment of
Continuous and Discrete Time Control
Problems . . . . . . . . . . . . . . . . 749--779
J. J. Seidel A Sound Equilibrium for Linear Algebra 781--785
V. Simoncini Ritz and Pseudo-Ritz Values Using Matrix
Polynomials . . . . . . . . . . . . . . 787--801
Garret Sobczyk Structure of Factor Algebras and
Clifford Algebra . . . . . . . . . . . . 803--810
Ji-guang Sun Perturbation Analysis of System
Hessenberg and Hessenberg-Triangular
Forms . . . . . . . . . . . . . . . . . 811--849
B. Uhrin Inner Aperiodicities and Partitions of
Sets . . . . . . . . . . . . . . . . . . 851--876
David S. Watkins The Transmission of Shifts and Shift
Blurring in the $ Q R $ Algorithm . . . 877--896
Shu-Chu Chang Double coset decomposition for $ {\rm
SL}(r + s, \mbox {\bf Z}) $ with respect
to congruence subgroups . . . . . . . . 1--11
Jian Shen Some Estimated Formulas for the
Frobenius Numbers . . . . . . . . . . . 13--20
Jian Shen A Bound on the Exponent of Primitivity
in Terms of Diameter . . . . . . . . . . 21--33
Luca Dieci Considerations on Computing Real
Logarithms of Matrices, Hamiltonian
Logarithms, and Skew-Symmetric
Logarithms . . . . . . . . . . . . . . . 35--54
Ji-guang Sun On Two Functions of a Matrix With
Positive Definite Hermitian Part . . . . 55--68
Guoliang Chen and
Musheng Wei and
Yifeng Xue Perturbation Analysis of the Least
Squares Solution in Hilbert Spaces . . . 69--80
Dénes Petz Monotone Metrics on Matrix Spaces . . . 81--96
Peter M. Gibson Sign-Nonsingular Skew-Symmetric Matrices
With the Most Nonzero Entries . . . . . 97--109
Mei-Hsiu Chi The Long-Run Behavior of Markov Chains 111--121
David A. Gregory and
Kevin N. Vander Meulen and
Bryan L. Shader Skew Rank Decompositions . . . . . . . . 123--154
Zlatko Drma\vc On Relative Residual Bounds for the
Eigenvalues of a Hermitian Matrix . . . 155--163
Gong-ning Chen and
Bin Zhao and
Hui-pin Zhang The General Rational Interpolation
Problem in the Scalar Case and Its
Hankel Vector . . . . . . . . . . . . . 165--201
Tom Geerts Higher-Order Continuous-Time Implicit
Systems: Consistency and Weak
Consistency, Impulse Controllability,
Geometric Concepts, and Invertibility
Properties . . . . . . . . . . . . . . . 203--253
Jian Shen A Problem on the Exponent of Primitive
Digraphs . . . . . . . . . . . . . . . . 255--264
Nir Cohen and
Jerome Dancis Maximal Rank Hermitian Completions of
Partially Specified Hermitian Matrices 265--276
Steve Kirkland On the Minimum Perron Value for an
Irreducible Tournament Matrix . . . . . 277--304
David London On Diagonals of Matrices Doubly
Stochastically Similar to a Given Matrix 305--340
Alexander Yastrebov On a Construction of the Cliffordean
Algebra . . . . . . . . . . . . . . . . 341--356
William H. Pierce A Self-Correcting Matrix Iteration for
the Moore--Penrose Generalized Inverse 357--363
Diethard Klatte and
Gisbert Thiere A Note of Lipschitz Constants for
Solutions of Linear Inequalities and
Equations . . . . . . . . . . . . . . . 365--374
Jin-Hsien Wang Product of Invertible Operators of
Quadratic Type . . . . . . . . . . . . . 1--26
Stewart W. Neufeld A Diameter Bound on the Exponent of a
Primitive Directed Graph . . . . . . . . 27--47
Raúl Andrade and
Alicia Labra On a Class of Baric Algebras . . . . . . 49--53
I. Gohberg and
M. A. Kaashoek and
J. Kos The Asymptotic Behavior of the Singular
Values of Matrix Powers and Applications 55--76
Naum Krupnik and
Steffen Roch On Invertibility Symbols in Banach
Algebras . . . . . . . . . . . . . . . . 77--81
J. Rudolph Duality in Time-Varying Linear Systems:
A Module Theoretic Approach . . . . . . 83--106
J. W. Hoffmann and
P. A. Fuhrmann On Balanced Realizations of Bounded Real
and Positive Real Functions . . . . . . 107--146
Zhi-hao Cao and
Jin-jun Xie and
Ren-Cang Li A Sharp Version of Kahan's Theorem on
Clustered Eigenvalues . . . . . . . . . 147--155
Kirill A. Kopotun A Note on the Convexity of the Sum of
Subpermanents . . . . . . . . . . . . . 157--169
Keith G. Woodgate Least-Squares Solution of $ F = P G $
Over Positive Semidefinite Symmetric $P$ 171--190
Sambhavi Lakshminarayanan and
R. Chandrasekaran Tessellation and $g$-tessellation of
circulants, $ {Q}_6$, and $ {Q}^t_6$ . . 191--222
Ettore Fornasini and
Maria Elena Valcher On the Spectral and Combinatorial
Structure of 2D Positive Systems . . . . 223--258
Patrick J. Rabier and
Werner C. Rheinboldt Classical and Generalized Solutions of
Time-Dependent Linear
Differential-Algebraic Equations . . . . 259--293
M. Koppinen Three Automorphism Theorems for
Triangular Matrix Algebras . . . . . . . 295--304
D. J. Hartfiel Similitudes and the $ l_1$-Norm . . . . 305--319
Hernán Abeledo and
Yosef Blum Stable Matchings and Linear Programming 321--333
Nicolau C. Saldanha and
Carlos Tomei The Accumulated Distribution of
Quadratic Forms on the Sphere . . . . . 335--351
J. A. Dias da Silva New Conditions for Equality of
Decomposable Symmetrized Tensors . . . . 353--372
D. Z. Arov and
N. V. Bondarchuk On the Solution of Matrix Inequalities
in the Kalman-Yakubovich Theorem via
Hidden Parameters of Positive Rational
Functions . . . . . . . . . . . . . . . 1--11
Miroslav Fiedler and
Thomas L. Markham Some Inequalities for the Hadamard
Product of Matrices . . . . . . . . . . 13--16
S. P. Eveson The Eigenvalue Distribution of
Oscillatory and Strictly Sign-Regular
Matrices . . . . . . . . . . . . . . . . 17--21
R. Chandrasekaran and
S. N. Kabadi and
S. Lakshminarayanan An Extension of a Theorem of Fulkerson
and Gross . . . . . . . . . . . . . . . 23--29
Dai Hua and
Peter Lancaster Linear Matrix Equations From an Inverse
Problem of Vibration Theory . . . . . . 31--47
Joel Anderson A Secular Equation for the Eigenvalues
of a Diagonal Matrix Perturbation . . . 49--70
Jinchuan Hou Completion of Operator Partial Matrices
to Projections . . . . . . . . . . . . . 71--82
Stefan Scholtes A Proof of the Branching Number Bound
for Normal Manifolds . . . . . . . . . . 83--95
Katarína Cechlárová On the Powers of Matrices in
Bottleneck/Fuzzy Algebra . . . . . . . . 97--111
Cristian Oar\ua Stabilizing Solution to the Reverse
Discrete-Time Riccati Equation: A
Matrix-Pencil-Based Approach . . . . . . 113--130
Yves V. Genin Euclid Algorithm, Orthogonal
Polynomials, and Generalized
Routh--Hurwitz Algorithm . . . . . . . . 131--158
D. Huylebrouck The Generalized Inverse of a Sum With
Radical Element: Applications . . . . . 159--175
Eduardo Marques de Sá The Faces of the Unit Balls of $c$-Norms
and $c$-Spectral Norms . . . . . . . . . 177--189
Shu-Chu Chang and
Cheng Lee Two-Sided Equivalence on the Special
Linear Group . . . . . . . . . . . . . . 191--202
Mao-Ting Chien On the Numerical Range of Tridiagonal
Operators . . . . . . . . . . . . . . . 203--214
Ji-Guang Sun On the Variation of the Spectrum of a
Normal Matrix . . . . . . . . . . . . . 215--223
Ferenc Juhász On the Structural Eigenvalues of Block
Random Matrices . . . . . . . . . . . . 225--231
G. L. G. Sleijpen and
A. Van Der Sluis Further Results on the Convergence
Behavior of Conjugate-Gradients and Ritz
Values . . . . . . . . . . . . . . . . . 233--278
S. W. Drury The Determinantal Conjecture and
Hadamard Type Inequalities . . . . . . . 279--297
Menglin Cao and
Michael C. Ferris $ P_c $-Matrices and the Linear
Complementarity Problem . . . . . . . . 299--312
Manuel O'Ryan and
Daniel B. Shapiro On Trace Forms of Higher Degree . . . . 313--333
Hon-Kwok Fung Linear Preservers of Controllability
and/or Observability . . . . . . . . . . 335--360
Alberto Borobia and
Zeev Nutov and
Michal Penn Doubly Stochastic Matrices and Dicycle
Covers and Packings in Eulerian Digraphs 361--371
Patrick J. Rabier and
Werner C. Rheinboldt Time-Dependent Linear DAEs With
Discontinuous Inputs . . . . . . . . . . 1--29
Atsumi Ohara and
Nobuhide Suda and
Shun-ichi Amari Dualistic Differential Geometry of
Positive Definite Matrices and Its
Applications to Related Problems . . . . 31--53
Thomas J. Lundy and
John Maybee and
James Van Buskirk On Maximal Sign-Nonsingular Matrices . . 55--81
S. Ambikkumar and
S. W. Drury A Reverse Hadamard Inequality . . . . . 83--95
V. Simoncini and
E. Gallopoulos Convergence Properties of Block GMRES
and Matrix Polynomials . . . . . . . . . 97--119
Arno van den Essen and
Engelbert Hubbers Polynomial Maps With Strongly Nilpotent
Jacobian Matrix and the Jacobian
Conjecture . . . . . . . . . . . . . . . 121--132
Thomas L. Moeller and
Jaime Milstein Algebraic Representations for
Finite-State Machines. II Module
Formulation . . . . . . . . . . . . . . 133--150
D. de Caen Degree of Indecomposability of Certain
Highly Regular Zero-One Matrices . . . . 151--158
Kevin Bowman and
David A. Towers On Almost Nilpotent-by-Abelian Lie
Algebras . . . . . . . . . . . . . . . . 159--167
Krystyna Zi\ketak On Approximation Problems With
Zero-Trace Matrices . . . . . . . . . . 169--183
Laureano González-Vega An Elementary Proof of Barnett's Theorem
About the Greatest Common Divisor of
Several Univariate Polynomials . . . . . 185--202
T. L. Hayden and
Jon Lee and
Jim Wells and
P. Tarazaga Block Matrices and Multispherical
Structure of Distance Matrices . . . . . 203--216
C. C. Cowen and
P. A. Ferguson and
D. K. Jackman and
E. A. Sexauer and
C. Vogt and
H. J. Woolf Finding Norms of Hadamard Multipliers 217--235
R. Fuster and
V. Migallón and
J. Penadés Parallel Chaotic Extrapolated
Jacobi-like Methods . . . . . . . . . . 237--250
Bella I. Wainberg and
Hugo J. Woerdeman The Maximum Row Length Nonsingularity
Radius . . . . . . . . . . . . . . . . . 251--263
M. Purificação Coelho On Linear Preservers of Immanants . . . 265--271
Mihalis Maliakas On a Character Formula Involving Borel
Subgroups . . . . . . . . . . . . . . . 273--275
C. Koukouvinos and
M. Mitrouli and
Jennifer Seberry On the Smith Normal Form of $D$-Optimal
Designs . . . . . . . . . . . . . . . . 277--295
P. N. Shivakumar and
Chuanxiang Ji Upper and Lower Bounds for Inverse
Elements of Finite and Infinite
Tridiagonal Matrices . . . . . . . . . . 297--316
Yves V. Genin On Polynomials Nonnegative on the Unit
Circle and Related Questions . . . . . . 317--325
Hon-Kwok Fung A Note on Linear Transformations Which
Leave Controllable Multiinput Descriptor
Systems Controllable . . . . . . . . . . 327--336
Xingzhi Zhan and
Jianjun Xie On the matrix equation $ X + A^{\sf
T}X^{-1}A = I $ . . . . . . . . . . . . 337--345
I. Gohberg and
M. A. Kaashoek and
L. Lerer Factorization of Banded Lower Triangular
Infinite Matrices . . . . . . . . . . . 347--357
Augusto Ferrante and
Bernard C. Levy Hermitian Solutions of the Equation $ X
= Q + N X^{-1}N $ . . . . . . . . . . . 359--373
H. Bart and
L. G. Kroon Companion Based Matrix Functions:
Description and Minimal Factorization 1--46
Jaspal Singh Aujla and
H. L. Vasudeva Some Convex and Monotone Matrix
Functions . . . . . . . . . . . . . . . 47--60
Hector Miranda and
Robert C. Thompson A Supplement to the von Neumann Trace
Inequality for Singular Values . . . . . 61--66
R. E. Mahony The Constrained Newton Method on a Lie
Group and the Symmetric Eigenvalue
Problem . . . . . . . . . . . . . . . . 67--89
Michael Lundquist and
Wayne Barrett Rank Inequalities for Positive
Semidefinite Matrices . . . . . . . . . 91--100
Nizar Radwan An Inverse Eigenvalue Problem for
Symmetric and Normal Matrices . . . . . 101--109
Harm Bart and
Leo G. Kroon Factorization and Job Scheduling: A
Connection via Companion Based Matrix
Functions . . . . . . . . . . . . . . . 111--136
J. F. Carpraux and
S. K. Godunov and
S. V. Kuznetsov Condition Number of the Krylov Bases and
Subspaces . . . . . . . . . . . . . . . 137--160
Immanuel M. Bomze Block Pivoting and Shortcut Strategies
for Detecting Copositivity . . . . . . . 161--184
Che Kao Fong and
Pei Yuan Wu Band-Diagonal Operators . . . . . . . . 185--204
S. K. Godunov and
M. Sadkane Elliptic Dichotomy of a Matrix Spectrum 205--232
Steve Kirkland A Note on the Sequence of Brualdi--Li
Matrices . . . . . . . . . . . . . . . . 233--240
Roberto Bevilacqua and
Enrico Bozzo On Algebras of Symmetric Loewner
Matrices . . . . . . . . . . . . . . . . 241--251
Bryan C. J. Green and
D. D. Olesky and
P. Van Den Driessche Classes of Sign Nonsingular Matrices
With a Specified Number of Zero Entries 253--275
A. Hadjidimos and
A. K. Yeyios Some Notes on Multisplitting Methods and
$m$-Step Preconditioners for Linear
Systems . . . . . . . . . . . . . . . . 277--301
Peter M. Nylen Minimum-Rank Matrices With Prescribed
Graph . . . . . . . . . . . . . . . . . 303--316
Kristen W. Culler and
Geoffrey L. Price On the Ranks of Skew-Centrosymmetric
Matrices Over Finite Fields . . . . . . 317--325
Chongguang Cao and
Xian Zhang Additive Operators Preserving Idempotent
Matrices Over Fields and Applications 327--338
Yi-Ming Gao and
Xiao-hui Wang Criteria for Generalized Diagonally
Dominant Matrices and $M$-Matrices. II 339--353
Zhi-Ming Jiang On the indices of convergence of
reducible Boolean matrices with the
generalized period $ f_0 \geq 2 $ . . . 355--374
A. Scottedward Hodel and
Pradeep Misra Solution of Underdetermined Sylvester
Equations in Sensor Array Signal
Processing . . . . . . . . . . . . . . . 1--14
Leon van Wyk Matrix Rings Satisfying Column Sum
Conditions Versus Structural Matrix
Rings . . . . . . . . . . . . . . . . . 15--28
Matja\vz Omladi\vc and
Peter \vSemrl Matrix Spaces With Bounded Number of
Eigenvalues . . . . . . . . . . . . . . 29--46
Sujit Kumar Mitra Noncore Square Matrices Miscellany . . . 47--66
Wuwen Guo An Inverse Eigenvalue Problem for
Nonnegative Matrices . . . . . . . . . . 67--78
Luca Gemignani Computationally Efficient Applications
of the Euclidean Algorithm to Zero
Location . . . . . . . . . . . . . . . . 79--91
Curtis J. Olson and
Richard D. Hill On Dissipative Matrices . . . . . . . . 93--109
Pentti Haukkanen On Meet Matrices on Posets . . . . . . . 111--123
G. S. Ammar and
D. Calvetti and
L. Reichel Continuation Methods for the Computation
of Zeros of Szeg\Ho Polynomials . . . . 125--155
Wenchao Huang Matrices Which Belong to an Idempotent
in a Sandwich Semigroup of Circulant
Boolean Matrices . . . . . . . . . . . . 157--167
Hongyuan Zha and
Zhenyue Zhang The Arnoldi Process, Short Recursions,
and Displacement Ranks . . . . . . . . . 169--188
D. R. Jensen Structured Dispersion and Validity in
Linear Inference . . . . . . . . . . . . 189--196
John Holbrook and
Matja\vz Omladi\vc and
Peter \vSemrl Maximal Spectral Distance . . . . . . . 197--205
Jeffrey M. Lee and
David A. Weinberg A Note on Canonical Forms for Matrix
Congruence . . . . . . . . . . . . . . . 207--215
Ehler Lange Substitutions for Linear Shift Register
Sequences and the Factorization
Algorithms of Berlekamp and Niederreiter 217--228
Vaidyanath Mani and
Robert E. Hartwig Black Box Interpolation. II. The One
Variable Derogatory Case . . . . . . . . 229--253
J. Albrecht Minimal Norms of Nonnegative Irreducible
Matrices . . . . . . . . . . . . . . . . 255--258
Toma\vz Ko\vsir Kronecker Bases for Linear Matrix
Equations, With Application to
Two-Parameter Eigenvalue Problems . . . 259--288
Juan-Miguel Gracia and
Lourdes Ortiz De Elguea and
Maria-Jose Sodupe Matrix Pencil Generated by a Tensor
Product From Two Matrix Pencils . . . . 289--310
Ding-Xuan Zhou Linear Dependence Relations in Wavelets
and Tilings . . . . . . . . . . . . . . 311--323
Thomas Lundy and
John S. Maybee and
D. D. Olesky and
P. Van Den Driessche Spectra and Inverse Sign Patterns of
Nearly Sign-Nonsingular Matrices . . . . 325--339
Plamen Yalamov and
Velisar Pavlov Stability of the Block Cyclic Reduction 341--358
Fernando C. Silva Possible Block Similarity Classes of a
Matrix With a Prescribed Nonprincipal
Submatrix . . . . . . . . . . . . . . . 359--373
Lloyd N. Trefethen and
A. Greenbaum Do the pseudospectra of a matrix
determine its behavior? . . . . . . . . ??
Xinmin Wang Convergence theory for the general GAOR
type iterative method and the MSOR
iterative method applied to $
{H}$-matrices . . . . . . . . . . . . . 1--19
M. da Graça Marques and
Fernando C. Silva The Characteristic Polynomial of a
Matrix With Prescribed Off-Diagonal
Blocks . . . . . . . . . . . . . . . . . 21--29
William Watkins Bilinear Transformations on Matrices:
Rank Preservers . . . . . . . . . . . . 31--38
Guorong Wang Weighted Moore--Penrose, Drazin, and
group inverses of the Kronecker product
$ {A} \otimes {B} $, and some
applications . . . . . . . . . . . . . . 39--50
Zhizheng Zhang The Linear Algebra of the Generalized
Pascal Matrix . . . . . . . . . . . . . 51--60
E. Tyrtyshnikov Matrix Bruhat Decompositions With a
Remark on the $ Q R $ ($ G R $)
Algorithm . . . . . . . . . . . . . . . 61--68
Rong-Qing Jia Symmetric Magic Squares and Multivariate
Splines . . . . . . . . . . . . . . . . 69--103
Nir Cohen and
Izchak Lewkowicz Convex Invertible Cones and the Lyapunov
Equation . . . . . . . . . . . . . . . . 105--131
L. Elsner and
S. Friedland Norm Conditions for Convergence of
Infinite Products . . . . . . . . . . . 133--142
Bart De Schutter and
Bart De Moor The Singular-Value Decomposition in the
Extended Max Algebra . . . . . . . . . . 143--176
Ji-guang Sun Perturbation Analysis of the Matrix Sign
Function . . . . . . . . . . . . . . . . 177--206
Eduardo Marques de Sá The Stability of the Unit Balls of
Symmetric and Unitarily Invariant Norms 207--218
J. W. Nieuwenhuis About Limit Matrices of Finite-State
Markov Chains . . . . . . . . . . . . . 219--223
D. J. Clements and
B. D. O. Anderson and
A. J. Laub and
J. B. Matson Spectral Factorization With
Imaginary-Axis Zeros . . . . . . . . . . 225--252
Friedrich Roesler Bateman's Equation and Similar Units . . 253--273
C. Sueur and
G. Dauphin-Tanguy Controllability Indices for Structured
Systems . . . . . . . . . . . . . . . . 275--287
Alexandre Ern and
Vincent Giovangigli Projected Iterative Algorithms With
Application to Multicomponent Transport 289--315
De-Ren Wang and
Zhong-Zhi Bai Parallel Multilevel Iterative Methods 317--347
George P. H. Styan and
Gerald E. Subak-Sharpe Inequalities and Equalities Associated
With the Campbell-Youla Generalized
Inverse of the Indefinite Admittance
Matrix of Resistive Networks . . . . . . 349--370
Miroslav Fiedler and
Vlastimil Pták A New Positive Definite Geometric Mean
of Two Positive Definite Matrices . . . 1--20
Fuzhen Zhang Quaternions and Matrices of Quaternions 21--57
Matja\vz Omladi\vc and
Heydar Radjavi Irreducible Semigroups With
Multiplicative Spectral Radius . . . . . 59--72
G.-Y. Lee and
S.-G. Lee and
H.-G. Shin On the $K$-Generalized Fibonacci Matrix
$ Q^*_k$ . . . . . . . . . . . . . . . . 73--88
Ritsuo Nakamoto The Spherical Gap of Operators . . . . . 89--95
Charles R. Johnson and
Jeremy Miller Rank Decomposition Under Combinatorial
Constraints . . . . . . . . . . . . . . 97--104
Javier Tolsa and
Miquel Salichs Convergence of Singular Perturbations in
Singular Linear Systems . . . . . . . . 105--143
Frank Critchley and
Bernard Fichet On (Super-) Spherical Distance Matrices
and Two Results From Schoenberg . . . . 145--165
M. da Graça Marques and
Fernando C. Silva and
Yu Lin Zhang The Number of Invariant Polynomials of a
Matrix With Prescribed Complementary
Principal Submatrices . . . . . . . . . 167--179
Willard L. Miranker A Cache for an Associative Memory . . . 181--188
G. Heinig and
L. A. Sakhnovich and
I. F. Tidniuk Paired Cauchy Matrices . . . . . . . . . 189--214
Luzius Grunenfelder and
Toma\vz Ko\vsir On a Representation of Commuting Maps by
Tensor Products . . . . . . . . . . . . 215--222
J. P. Henniger Factorization and similarity in $ {\rm
GL}(2, {\bf Z}) $ . . . . . . . . . . . 223--237
M. Q. Rieck Totally Isotropic Subspaces,
Complementary Subspaces, and Generalized
Inverses . . . . . . . . . . . . . . . . 239--248
L. Lopez and
T. Politi Tridiagonal Splittings in the
Conditioning and Parallel Solution of
Banded Linear Systems . . . . . . . . . 249--265
M. M. Konstantinov and
P. Hr. Petkov and
D.-W. Gu and
I. Postlethwaite Perturbation Analysis of Orthogonal
Canonical Forms . . . . . . . . . . . . 267--291
Vaidyanath Mani and
Robert E. Hartwig Generalized Polynomial Bases and the
Bezoutian . . . . . . . . . . . . . . . 293--320
C. Jansson Calculation of Exact Bounds for the
Solution Set of Linear Interval Systems 321--340
Hari Bercovici and
Wing Suet Li and
Thomas Smotzer Classical Linear Algebra Inequalities
for the Jordan Models of $ C_0 $
Operators . . . . . . . . . . . . . . . 341--350
Haja N. Razafinjatovo Discrete Irregular Sampling With Larger
Gaps . . . . . . . . . . . . . . . . . . 351--372
Günter Baszenski and
Manfred Tasche Fast Polynomial Multiplication and
Convolutions Related to the Discrete
Cosine Transform . . . . . . . . . . . . 1--25
Krzysztof C. Kiwiel Monotone Gram Matrices and Deepest
Surrogate Inequalities in Accelerated
Relaxation Methods for Convex
Feasibility Problems . . . . . . . . . . 27--33
N. P. Karampetakis Computation of the Generalized Inverse
of a Polynomial Matrix and Applications 35--60
Mau-Hsiang Shih and
Jinn- Wen Wu and
Chin-Tzong Pang Asymptotic Stability and Generalized
Gelfand Spectral Radius Formula . . . . 61--70
D. A. Towers and
K. Bowman Higher-order Bernstein algebras given by
symmetric bilinear forms . . . . . . . . 71--79
William R. Ferng and
Kun-Yi Lin and
Wen-Wei Lin A novel nonsymmetric $ {K \_ }$-Lanczos
algorithm for the generalized
nonsymmetric $ {K \_ }$-eigenvalue
problems . . . . . . . . . . . . . . . . 81--105
Jian-Jun Xie Residual Bounds for Unitarily Invariant
Norms on Clustered Eigenvalues . . . . . 107--113
Dennis S. Keeler and
Leiba Rodman and
Ilya M. Spitkovsky The Numerical Range of $ 3 \times 3 $
Matrices . . . . . . . . . . . . . . . . 115--139
Harald Woracek Nevanlinna--Pick Interpolation: The
Degenerated Case . . . . . . . . . . . . 141--158
Z. Otachel Spectral Orders and Isotone Functionals 159--172
J. D. Botha Products of Matrices With Prescribed
Nullities and Traces . . . . . . . . . . 173--198
Shmuel Friedland On the entropy of $ \boldmath {Z}^d $
subshifts of finite type . . . . . . . . 199--220
T. Y. Li and
Zhinan Zhang and
Tianjun Wang Determining the Structure of the Jordan
Normal Form of a Matrix by Symbolic
Computation . . . . . . . . . . . . . . 221--259
Richard Gabriel Minimierung der Euklidischen Norm einer
komplexen Matrix durch ebene
Similaritäten. (German) [Minimizing the
Euclidean norm of a complex matrix by
plane similarities] . . . . . . . . . . 261--297
Carolyn A. Eschenbach and
Frank J. Hall and
Zhongshan Li Some sign patterns that allow a real
inverse pair $ {B} $ and $ {B}^{-1} $ 299--321
G. S. R. Murthy and
T. Parthasarathy and
B. Sriparna Constructive characterization of
Lipschitzian \boldmath $ Q_0 $-matrices 323--337
Robert E. Hartwig and
Irving J. Katz On Products of EP Matrices . . . . . . . 339--345
Monique Laurent The Real Positive Semidefinite
Completion Problem for Series-Parallel
Graphs . . . . . . . . . . . . . . . . . 347--366
John L. Goldwasser Triangular Blocks of Zeros in $ (0, 1) $
Matrices With Small Permanents . . . . . 367--374
John L. Goldwasser Shortened and Punctured Codes and the
MacWilliams Identities . . . . . . . . . 1--13
John C. Strikwerda A Convergence Theorem for Chaotic
Asynchronous Relaxation . . . . . . . . 15--24
Yi-Sheng Yu and
Dun-he Gu A note on a lower bound for the smallest
singular value . . . . . . . . . . . . . 25--38
Luca Gemignani Schur Complements of Bezoutians and the
Inversion of Block Hankel and Block
Toeplitz Matrices . . . . . . . . . . . 39--59
Shaun Fallat and
D. D. Olesky and
P. Van Den Driessche Graph Theoretic Aspects of Maximizing
the Spectral Radius of Nonnegative
Matrices . . . . . . . . . . . . . . . . 61--77
M. I. Gil' A Nonsingularity Criterion for Matrices 79--87
Luoluo Li On solvability of inverse eigenvalue
problems with Hermitian matrices . . . . 89--101
Steve Kirkland A Note on the Eigenvalues of a Primitive
Matrix With Large Exponent . . . . . . . 103--112
Miroslav Fiedler Some Inverse Problems for Acyclic
Matrices . . . . . . . . . . . . . . . . 113--123
Suk-Geun Hwang and
Sun-Jeong Shin A Face of the Polytope of Doubly
Stochastic Matrices Associated With
Certain Matrix Expansions . . . . . . . 125--140
Adolf Rhodius On the Maximum of Ergodicity
Coefficients, the Dobrushin Ergodicity
Coefficients, and Products of Stochastic
Matrices . . . . . . . . . . . . . . . . 141--154
Arne Storjohann and
George Labahn A fast Las Vegas algorithm for computing
the Smith normal form of a polynomial
matrix . . . . . . . . . . . . . . . . . 155--173
J. Ferrer and
Ma. I. García and
F. Puerta Brunowsky Local Form of a Holomorphic
Family of Pairs of Matrices . . . . . . 175--198
Zbigniew I. Wo\'znicki Comparison Theorems for Regular
Splittings on Block Partitions . . . . . 199--207
A. M. Mathai and
Giorgio Pederzoli Some Properties of Matrix-Variate
Laplace Transforms and Matrix-Variate
Whittaker Functions . . . . . . . . . . 209--226
Ian F. Blake and
Shuhong Gao and
Ronald C. Mullin Specific Irreducible Polynomials With
Linearly Independent Roots Over Finite
Fields . . . . . . . . . . . . . . . . . 227--249
Xiao- Dong Luo and
Paul Tseng On a Global Projection-Type Error Bound
for the Linear Complementarity Problem 251--278
H. Väliaho Determining the Handicap of a Sufficient
Matrix . . . . . . . . . . . . . . . . . 279--298
Michele Conforti and
Gérard Cornuéjols and
Carla De Francesco Perfect $ 0, \pm 1 $ Matrices . . . . . 299--309
M. K. K. Cevik and
J. M. Schumacher Regulation as an Interpolation Problem 311--340
Peter Fleischmann Polynomial Identities for Orbit Numbers
of General Linear and Unitary Groups
Over Finite Fields . . . . . . . . . . . 341--362
Winfried Kohnen On the generators of $ {\rm Sp}_n({\bf
Z}) $ . . . . . . . . . . . . . . . . . 363--367
Jinadasa K. Gamage Generalized $p$-values and the
multivariate Behrens--Fisher problem . . 369--377
Frank Hall and
Alex Pothen and
Frank Uhlig and
Paul Van Dooren Preface and Conference Report . . . . . 1--5
Moshe Goldberg Morris Newman --- A Discrete
Mathematician for All Seasons . . . . . 7--18
Robert C. Thompson The Upper Numerical Range of a
Quaternionic Matrix Is Not a Complex
Numerical Range . . . . . . . . . . . . 19--28
Daniel A. Ashlock and
Kenneth R. Driessel and
Irvin R. Hentzel On Matrix Structures Invariant under
Toda-like Isospectral Flows . . . . . . 29--48
Michael Breen and
David Hume Properties of a standard form for a
Boolean matrix . . . . . . . . . . . . . 49--65
Jean Dazord Une propriété extrémale de la diagonale
d'une matrice. (French) [An extremal
property of the diagonal of a matrix] 67--77
L. Elsner and
Kh. D. Ikramov On a Condensed Form for Normal Matrices
Under Finite Sequences of Elementary
Unitary Similarities . . . . . . . . . . 79--98
Carolyn A. Eschenbach and
Zhongshan Li How Many Negative Entries Can $ A^2 $
Have? . . . . . . . . . . . . . . . . . 99--117
Roland W. Freund and
Manish Malhotra A Block QMR Algorithm for Non-Hermitian
Linear Systems With Multiple Right-Hand
Sides . . . . . . . . . . . . . . . . . 119--157
Ma. I. García-Planas and
Ma. D. Magret Deformation and stability of triples of
matrices . . . . . . . . . . . . . . . . 159--192
Georg Heinig and
Adam Bojanczyk Transformation Techniques for Toeplitz
and Toeplitz-plus-Hankel Matrices. I.
Transformations . . . . . . . . . . . . 193--226
Richard O. Hill and
Charles R. Johnson and
Brenda K. Kroschel Extended interlacing intervals . . . . . 227--239
C. Jordán and
J. R. Torregrosa and
A. Urbano On the Jordan Form of Completions of
Partial Upper Triangular Matrices . . . 241--250
Thomas Kailath and
Vadim Olshevsky Diagonal Pivoting for Partially
Reconstructible Cauchy-like Matrices,
With Applications to Toeplitz-like
Linear Equations and to Boundary
Rational Matrix Interpolation Problems 251--302
Chi-Kwong Li and
Roy Mathias Matrix Inequalities and Partial
Isometries That Arise in X-Ray
Crystallography . . . . . . . . . . . . 303--314
Xiezhang Li A uniform error bound for the
overrelaxation methods . . . . . . . . . 315--333
Zhongshan Li and
Frank Hall and
Fuzhen Zhang Sign patterns of nonnegative normal
matrices . . . . . . . . . . . . . . . . 335--354
Jorma Kaarlo Merikoski and
Uoti Urpala and
Ari Virtanen and
Tin-Yau Tam and
Frank Uhlig A Best Upper Bound for the 2-Norm
Condition Number of a Matrix . . . . . . 355--365
Morris Newman The Smith normal form . . . . . . . . . 367--381
Laurence J. November Rotation and Lorentz Transformations in
$ 2 \times 2 $ and $ 4 \times 4 $
Complex Matrices and in Polarized-Light
Physics . . . . . . . . . . . . . . . . 383--408
Peter Nylen and
Frank Uhlig Inverse Eigenvalue Problems Associated
With Spring-Mass Systems . . . . . . . . 409--425
Thomas H. Pate A Machine for Producing Inequalities
Involving Immanants and Other
Generalized Matrix Functions . . . . . . 427--466
Linda J. Patton Some Solutions to the Matrix Equation
for Three Point Nevanlinna--Pick
Interpolation on the Bidisc . . . . . . 467--484
Seok-Zun Song and
Suk- Geun Hwang Spanning Column Ranks and Their
Preservers of Nonnegative Matrices . . . 485--495
Michael Stewart Cholesky Factorization of Semidefinite
Toeplitz Matrices . . . . . . . . . . . 497--525
Marc Van Barel and
Adhemar Bultheel A generalized minimal partial
realization problem . . . . . . . . . . 527--551
Domenico D'Alessandro Geometric Aspects of the Riccati
Difference Equation in the Nonsymmetric
Case . . . . . . . . . . . . . . . . . . 1--18
György Michaletzky A Note on Hankel Approximation of
All-Pass Functions . . . . . . . . . . . 19--55
Vladimir Bolotnikov On a General Moment Problem on the Half
Axis . . . . . . . . . . . . . . . . . . 57--112
O. V. Holtz and
V. A. Strauss On Classification of Normal Operators in
Real Spaces With Indefinite Scalar
Product . . . . . . . . . . . . . . . . 113--155
Ezio Marchi and
Rubén Puente and
Virginia N. Vera de Serio Quasipolyhedral sets in linear
semi-infinite inequality systems . . . . 157--169
Wenchang Chu Determinant, permanent, and MacMahon's
master theorem . . . . . . . . . . . . . 171--183
A. Compta and
J. Ferrer On $ ({A}, {B})t$-Invariant Subspaces
Having Extendible Brunovsky Bases . . . 185--201
Thomas H. Pate Exterior Products, Elementary Symmetric
Functions, and the Fischer Determinant
Inequality . . . . . . . . . . . . . . . 203--242
William C. Waterhouse Eigenmatrices of a Normal Matrix . . . . 243--246
Chi-Kwong Li and
Hugo J. Woerdeman Special Classes of Positive and
Completely Positive Maps . . . . . . . . 247--258
C. D. Godsil Compact Graphs and Equitable Partitions 259--266
R. B. Bapat and
S. K. Jain and
S. Pati Weighted Moore--Penrose Inverse of a
Boolean Matrix . . . . . . . . . . . . . 267--279
Miroslav Fiedler and
Vlastimil Pták Strong Majorization for Hermitian
Matrices . . . . . . . . . . . . . . . . 281--301
Shmuel Friedland and
Reinhard Nabben On the Second Real Eigenvalue of
Nonnegative and $Z$-Matrices . . . . . . 303--313
M. Purificação Coelho and
M. Antónia Duffner Linear Preservers of Immanants on
Symmetric Matrices . . . . . . . . . . . 315--334
M. C. Gouveia Regular Hankel Matrices Over Integral
Domains . . . . . . . . . . . . . . . . 335--347
Man-Duen Choi and
Jinchuan Hou and
Peter Rosenthal Completion of Operator Partial Matrices
to Square-Zero Contractions . . . . . . 1--30
Reinhard Nabben $Z$-Matrices and Inverse $Z$-Matrices 31--48
A. Messaoudi Matrix Extrapolation Algorithms . . . . 49--73
Xi Chen and
Ke Min Zhang The Upper Bounds of the Generalized
Maximum Density Index of Irreducible
Boolean Matrices . . . . . . . . . . . . 75--93
Miroslav Fiedler and
Vlastimil Pták Block Analogies of Comparison Matrices 95--108
Rafael Bru and
Carmen Coll and
Vicente Hernández and
Elena Sánchez Geometrical Conditions for the
Reachability and Realizability of
Positive Periodic Discrete Systems . . . 109--124
Cynthia J. Wyels Permutation Equivalence and the Hermite
Invariant . . . . . . . . . . . . . . . 125--140
Katarína Cechlárová and
Karol Kolesár Strong Regularity of Matrices in a
Discrete Bounded Bottleneck Algebra . . 141--152
Erxiong Jiang and
Xingzhi Zhan Lower Bounds for the Spread of a
Hermitian Matrix . . . . . . . . . . . . 153--163
George Phillip Barker and
Bit-Shun Tam Baer semirings and Baer $^*$-semirings
of cone-preserving maps . . . . . . . . 165--183
Holger W. Gollan and
Gerhard O. Michler Construction of a $ 45, 694$-Dimensional
Simple Module of Lyons' Sporadic Group
Over $ {\rm GF}(2)$ . . . . . . . . . . 185--197
Yongzhong Song On the Convergence of the Generalized
AOR Method . . . . . . . . . . . . . . . 199--218
Bernd Silbermann Asymptotic Moore-Penrose Inversion of
Toeplitz Operators . . . . . . . . . . . 219--234
David P. Jacobs and
Vilmar Trevisan The Determinant of a Tree's Neighborhood
Matrix . . . . . . . . . . . . . . . . . 235--249
Xiang-dong Hou On the Centralizer of the Centralizer of
a Matrix . . . . . . . . . . . . . . . . 251--261
Yonghong Chen and
M. Neumann $M$-Matrix Generalized Inverses of
$M$-Matrices . . . . . . . . . . . . . . 263--285
J. M. van den Hof Realization of Positive Linear Systems 287--308
Chi-Kwong Li and
Nam-Kiu Tsing and
Fuzhen Zhang Norm Hull of Vectors and Matrices . . . 1--27
Biswa N. Datta and
Sylvan Elhay and
Yitshak M. Ram Orthogonality and Partial Pole
Assignment for the Symmetric Definite
Quadratic Pencil . . . . . . . . . . . . 29--48
Ron M. Adin and
Yaacov Kopeliovich Short Eigenvectors and Multidimensional
Theta Functions . . . . . . . . . . . . 49--63
Ming-Peng Gong Semigroups Defined by Generalized Schur
Functions . . . . . . . . . . . . . . . 65--75
B. Philippe and
M. Sadkane Computation of the Fundamental Singular
Subspace of a Large Matrix . . . . . . . 77--104
Richard A. Brualdi and
Suk-Geun Hwang and
Sung- Soo Pyo Vector Majorization via Positive
Definite Matrices . . . . . . . . . . . 105--120
Ruth Curtain and
Michael Green Analytic System Problems and
$J$-Lossless Coprime Factorization for
Infinite-Dimensional Linear Systems . . 121--161
James Lam and
Y. S. Hung On the Stability of Projections of
Balanced Realizations . . . . . . . . . 163--182
Joseph R. Siler and
Richard D. Hill Matricial Inner Products and Pointed
Cones of Hermitian-Preserving Linear
Transformations . . . . . . . . . . . . 183--191
Jun Wu A partial ordering of $ {\bf C}{S}_m $
defined by the generalized matrix
functions . . . . . . . . . . . . . . . 193--200
Ron Aharoni and
Milton Maritz and
Roy Meshulam Fourier Transform Imitations . . . . . . 201--209
Walter D. Morris, Jr. Extended $P$-pairs . . . . . . . . . . . 211--223
C. W. Norman On the Jordan Form of a Family of Linear
Mappings . . . . . . . . . . . . . . . . 225--241
Arieh Lev Powers of $1$-cyclic conjugacy classes
in the groups $ {\rm {GL}}_n({F})$ and $
{\rm {SL}}_n({F})$ . . . . . . . . . . . 243--281
L. Elsner Bounds for Determinants of Perturbed
$M$-Matrices . . . . . . . . . . . . . . 283--288
M. G. Neubauer and
A. J. Radcliffe The Maximum Determinant of $ \pm 1 $
Matrices . . . . . . . . . . . . . . . . 289--306
Zvi Wiener An Interesting Matrix Exponent Formula 307--310
D. E. Stewart A Graph-Theoretic Model of Symmetric
Givens Operations and Its Implications 311--320
Georg Heinig The group inverse of the transformation
$ {\cal S}(X) = A X - X B $ . . . . . . 321--342
Geir Nævdal On a Generalization of the Trigonometric
Moment Problem . . . . . . . . . . . . . 1--18
Jordan M. Berg and
Harry G. Kwatny Unfolding the Zero Structure of a Linear
Control System . . . . . . . . . . . . . 19--39
Dragan B. Kandi\'c and
Beresford Parlett and
Branimir D. Reljin and
Petar M. Vasi\'c Explicit Construction of Hyperdominant
Symmetric Matrices With Assigned
Spectrum . . . . . . . . . . . . . . . . 41--51
Uriel G. Rothblum and
Hans Schneider A Solution of a Nonlinear System Arising
in Spectral Perturbation Theory of
Nonnegative Matrices . . . . . . . . . . 53--80
S. Weissenhofer The Positive Minorant Property on
Matrices . . . . . . . . . . . . . . . . 81--94
Jia-Yu Shao and
Li Bin The Set of Generalized Exponents of
Primitive Simple Graphs . . . . . . . . 95--127
Jianjun Xie A note on the Davis-Kahan $ \sin \Theta
$ theorem . . . . . . . . . . . . . . . 129--135
A. O. L. Atkin and
Endre Boros and
Katarína Cechlárová and
Uri N. Peled Powers of Circulants in Bottleneck
Algebra . . . . . . . . . . . . . . . . 137--148
Maria da Graça Marques The Number of Invariant Polynomials of a
Matrix With Prescribed Off-Diagonal
Blocks . . . . . . . . . . . . . . . . . 149--158
M. S. Ravi Geometric Methods in Rational
Interpolation Theory . . . . . . . . . . 159--168
Dieter Happel The Trace of the Coxeter Matrix and
Hochschild Cohomology . . . . . . . . . 169--177
Yimin Wei and
Guorong Wang The perturbation theory for the Drazin
inverse and its applications . . . . . . 179--186
Robert Reams A Galois Approach to $m$ th Roots of
Matrices With Rational Entries . . . . . 187--194
Herman J. Nieuwenhuis and
Lambert Schoonbeek Stability of Matrices With Sufficiently
Strong Negative-Dominant-Diagonal
Submatrices . . . . . . . . . . . . . . 195--217
Shaowu Liu Linear maps preserving idempotence on
matrix modules over principal ideal
domains . . . . . . . . . . . . . . . . 219--231
Siamack Bondari Constructing the Polynomial Identities
and Central Identities of Degree $ < 9 $
of $ 3 \times 3 $ Matrices . . . . . . . 233--249
Pentti Haukkanen and
Jun Wang and
Juha Sillanpää On Smith's Determinant . . . . . . . . . 251--269
Zden\vek Vav\vrín Confluent Cauchy and Cauchy--Vandermonde
Matrices . . . . . . . . . . . . . . . . 271--293
E. Andruchow and
G. Corach and
D. Stojanoff Geometric Operator Inequalities . . . . 295--310
Neil H. Getz and
Jerrold E. Marsden Dynamical Methods for Polar
Decomposition and Inversion of Matrices 311--343
C. S. Smith and
M. Knott Cycle Properties of Square Matrices . . 345--350
Zhongxiao Jia Refined Iterative Algorithms Based on
Arnoldi's Process for Large Unsymmetric
Eigenproblems . . . . . . . . . . . . . 1--23
P. Lancaster and
A. S. Markus and
P. Zizler The Order of Neutrality for Linear
Operators on Inner Product Spaces . . . 25--29
Tommaso Toffoli Almost Every Unit Matrix is a $ U L U $ 31--38
Bit-Shun Tam and
Shangjun Yang and
Xiaodong Zhang Invertibility of Irreducible Matrices 39--70
Rajendra Bhatia A Note on the Lyapunov Equation . . . . 71--76
Sujit Kumar Mitra and
K. Manjunatha Prasad The Nonunique Parallel Sum . . . . . . . 77--99
A. Rahmani and
C. Sueur and
G. Dauphin-Tanguy Approche des bond graphs pour l'analyse
structurelle des syst\`emes linéaires.
(French) [Bond graph approach for the
structural analysis of linear systems] 101--131
André Ran and
Peter Zizler On Self-Adjoint Matrix Polynomials With
Constant Signature . . . . . . . . . . . 133--153
O. V. Holtz On Indecomposable Normal Matrices in
Spaces With Indefinite Scalar Product 155--168
Seok-Zun Song and
Sung Min Hong and
Young-Bae Jun and
Seon-Jeong Kim Minimum Permanents on a Face of the
Polytope of Doubly Stochastic Matrices 169--182
Ji-guang Sun Backward Error for the Discrete-Time
Algebraic Riccati Equation . . . . . . . 183--208
Shuangzhe Liu and
Heinz Neudecker Kantorovich and Cauchy--Schwarz
Inequalities Involving Positive
Semidefinite Matrices, and Efficiency
Comparisons for a Singular Linear Model 209--221
Jaspal Singh Aujla Some Operator Equalities Involving
Connections and Means . . . . . . . . . 223--228
Liping Huang and
Jianzhou Liu The Extension of Roth's Theorem for
Matrix Equations Over a Ring . . . . . . 229--235
Boris Lavri\vc Monotonicity Properties of Certain
Classes of Norms . . . . . . . . . . . . 237--250
Ton Geerts Infinite-Horizon Linear-Quadratic
Control With End-Point State Penalty
Term: The Discrete-Time Case . . . . . . 251--269
Oliver Aberth The Solution of Linear Interval
Equations by a Linear Programming Method 271--279
Mark A. Mendlovitz Eigenvector Saddlepoints and Zero
Properties of the Eigenpolynomial
Factors . . . . . . . . . . . . . . . . 281--298
R. A. Danao A Note on $ E' $-Matrices . . . . . . . 299--305
Michael K. Ng Band Preconditioners for
Block-Toeplitz--Toeplitz-Block Systems 307--327
Gusein Guseinov and
Mehmet Terziler The Eigenvalue Problem for a Matrix of a
Special Form and Its Applications . . . 329--346
Xuerong Yong and
Zheng Wang Elliptic Matrices and Their
Eigenpolynomials . . . . . . . . . . . . 347--356
R. Loewy An inertia theorem for Lyapunov's
equation and the dimension of a
controllability space . . . . . . . . . 1--7
Florian Bünger and
Frieder Knüppel and
Klaus Nielsen Products of Symmetries in Unitary Groups 9--42
M. Hofmeister On the Two Largest Eigenvalues of Trees 43--59
Daniel Augot and
Paul Camion On the Computation of Minimal
Polynomials, Cyclic Vectors, and
Frobenius Forms . . . . . . . . . . . . 61--94
Carolyn A. Eschenbach and
Frank J. Hall and
Charles R. Johnson and
Zhongshan Li The Graphs of the Unambiguous Entries in
the Product of Two $ ( +, -) $ Sign
Pattern Matrices . . . . . . . . . . . . 95--118
Philip Thijsse Upper Triangular Similarity of Upper
Triangular Matrices . . . . . . . . . . 119--149
A. Fernández López and
E. García Rus and
M. Gómez Lozano and
M. Siles Molina Jordan Canonical Form for Finite Rank
Elements in Jordan Algebras . . . . . . 151--167
F. Marcellán and
J. Petronilho Eigenproblems for Tridiagonal
$2$-Toeplitz Matrices and Quadratic
Polynomial Mappings . . . . . . . . . . 169--208
Jungong Xue A Note on Entrywise Perturbation Theory
for Markov Chains . . . . . . . . . . . 209--213
Dasong Cao and
V. Chvátal and
A. J. Hoffman and
A. Vince Variations on a Theorem of Ryser . . . . 215--222
Zhongzhi Bai and
Deren Wang A Class of New Hybrid Algebraic
Multilevel Preconditioning Methods . . . 223--255
A. V. Iltyakov On Polynomial Identities of Jordan Pairs
of Rectangular Matrices . . . . . . . . 257--271
Werner Rath Derivative and Proportional State
Feedback for Linear Descriptor Systems
With Variable Coefficients . . . . . . . 273--310
LeRoy B. Beasley and
An-Hyun Kim and
Woo Young Lee On a Positive Linear Map Preserving
Absolute Values . . . . . . . . . . . . 311--318
Fernando C. Silva On a Conjecture About the Jordan Form of
Completions of Partial Upper Triangular
Matrices . . . . . . . . . . . . . . . . 319--321
Richard A. Brualdi From the Editor-in-Chief . . . . . . . . 323
R. Bhatia Erratum: ``An operator inequality and
matrix normality'' [Linear Algebra Appl.
\bf 240 (1996), 105--110, MR 97b:47011]
by C. R. Johnson and F. Zhang . . . . . 323--323
S. K. Mitra Erratum: ``The nonunique shorted
matrix'' [Linear Algebra Appl. \bf
237/238 (1996), 41--70, MR 97a:15012] by
S. K. Mitra and K. M. Prasad . . . . . . 323--323
Anonymous 20-Volume Author Index . . . . . . . . . 329
S. A. Goreinov and
E. E. Tyrtyshnikov and
N. L. Zamarashkin A Theory of Pseudoskeleton
Approximations . . . . . . . . . . . . . 1--21
Onn Chan and
T. K. Lam Hook Immanantal Inequalities for
Laplacians of Trees . . . . . . . . . . 23--47
Thomas Kailath and
Vadim Olshevsky Displacement-Structure Approach to
Polynomial Vandermonde and Related
Matrices . . . . . . . . . . . . . . . . 49--90
Yuri Bolshakov and
Cornelis V. M. van der Mee and
André C. M. Ran and
Boris Reichstein and
Leiba Rodman Polar Decompositions in Finite
Dimensional Indefinite Scalar Product
Spaces: General Theory . . . . . . . . . 91--141
R. B. Bapat and
S. K. Jain and
L. E. Snyder Nonnegative Idempotent Matrices and the
Minus Partial Order . . . . . . . . . . 143--154
Luc Tartar and
Arieh Yakir Similarity Classes of Affine Maps . . . 155--165
Mark Krupnik Jordan Structures of Upper Equivalent
Matrices . . . . . . . . . . . . . . . . 167--172
Tsung-Min Hwang and
Wen-Wei Lin and
Daniel Pierce Improved bound for rank revealing $ {LU}
$ factorizations . . . . . . . . . . . . 173--186
Chi Song Wong and
Hua Cheng Vector Majorization via Nonnegative
Definite Doubly Stochastic Matrices of
Maximum Rank . . . . . . . . . . . . . . 187--194
LeRoy B. Beasley and
Steve Kirkland On the Exponent of a Primitive Matrix
Containing a Primitive Submatrix . . . . 195--205
Yves Nievergelt Schmidt-Mirsky Matrix Approximation With
Linearly Constrained Singular Values . . 207--219
Bishan Li and
M. J. Tsatsomeros Doubly Diagonally Dominant Matrices . . 221--235
Bart De Schutter and
Bart De Moor A Note on the Characteristic Equation in
the Max-Plus Algebra . . . . . . . . . . 237--250
Arthur O. Pittenger Mappings of Latin Squares . . . . . . . 251--268
Clovis C. Gonzaga and
Hugo J. Lara A Note on Properties of Condition
Numbers . . . . . . . . . . . . . . . . 269--273
Frans Bussemaker and
Irving Kaplansky and
Brendan McKay and
Jacob Seidel Determinants of Matrices of the
Conference Type . . . . . . . . . . . . 275--292
Toma\vz Ko\vsir On the Structure of Commutative
Matrices. II . . . . . . . . . . . . . . 293--305
J. M. Peña On the Schur and Singular Value
Decompositions of Oscillatory Matrices 307--315
H. Langer and
A. C. M. Ran and
D. Temme Nonnegative Solutions of Algebraic
Riccati Equations . . . . . . . . . . . 317--352
D. J. Hartfiel Eigenvector Sets for Intervals of
Matrices . . . . . . . . . . . . . . . . 1--10
Michael Grady and
Morris Newman The Geometry of an Interchange: Minimal
Matrices and Circulants . . . . . . . . 11--25
Arnold J. Insel Levels of Subnormality . . . . . . . . . 27--53
Ji\vrí Rohn Overestimations in Bounding Solutions of
Perturbed Linear Equations . . . . . . . 55--65
Shu-Fang Xu Lower Bound Estimation for the
Separation of Two Matrices . . . . . . . 67--82
John R. Gilbert and
Esmond G. Ng and
Barry W. Peyton Separators and Structure Prediction in
Sparse Orthogonal Factorization . . . . 83--97
Hongguo Xu Two Results About the Matrix Exponential 99--109
Jan Okni\'nski Triangularizable Semigroups of Matrices 111--118
Natália Bebiano and
J. da Providência On the Dual of a Result of Miranda and
Thompson . . . . . . . . . . . . . . . . 119--129
Hon-Wing Cheng and
Stephen S.-T. Yau More Explicit Formulas for the Matrix
Exponential . . . . . . . . . . . . . . 131--163
Erxiong Jiang and
Peter C. B. Lam An Upper Bound for the Spectral
Condition Number of a Diagonalizable
Matrix . . . . . . . . . . . . . . . . . 165--178
Enide Andrade Martins and
Fernando C. Silva On the Number of Invariant Polynomials
of Matrix Commutators . . . . . . . . . 179--188
N. K. Spanoudakis Operators in Finite Distributive
Subspace Lattices. III . . . . . . . . . 189--207
Steve Kirkland Perron Vector Bounds for a Tournament
Matrix With Applications to a Conjecture
of Brualdi and Li . . . . . . . . . . . 209--227
J. Ding and
L. J. Huang On the Continuity of Generalized
Inverses of Linear Operators in Hilbert
Spaces . . . . . . . . . . . . . . . . . 229--242
Charles R. Johnson and
John S. Maybee and
D. D. Olesky and
P. Van Den Driessche Nested Sequences of Principal Minors and
Potential Stability . . . . . . . . . . 243--257
Fernando C. Silva Possible Block Similarity Classes of a
Matrix With a Prescribed Nonprincipal
Submatrix. II . . . . . . . . . . . . . 259--282
B. Kalantari and
M. R. Emamy-K On Linear Programming and Matrix Scaling
Over the Algebraic Numbers . . . . . . . 283--306
Tin-Yau Tam Miranda and Thompson's Trace Inequality
and a Log Convexity Result . . . . . . . 307--325
Jean-Pierre Dedieu Condition Operators, Condition Numbers,
and Condition Number Theorem for the
Generalized Eigenvalue Problem . . . . . 1--24
E. E. Tyrtyshnikov and
A. Yu. Yeremin and
N. L. Zamarashkin Clusters, Preconditioners, Convergence 25--48
Enrico Boasso Joint Spectra and Nilpotent Lie Algebras
of Linear Transformations . . . . . . . 49--62
Dmitry Falikman Inequalities for Permanents of Hermitian
Matrices . . . . . . . . . . . . . . . . 63--74
Peter Benner and
Heike Faßbender An Implicitly Restarted Symplectic
Lanczos Method for the Hamiltonian
Eigenvalue Problem . . . . . . . . . . . 75--111
Zhi-Hao Cao Avoiding breakdown in variants of the
BI-CGSTAB algorithm . . . . . . . . . . 113--132
Harald Fripertinger Cycle Indices of Linear, Affine, and
Projective Groups . . . . . . . . . . . 133--156
Arnold Neumaier Scaling and Structural Condition Numbers 157--165
Michael K. Ng FFT-Based Exponentially Weighted
Recursive Least Squares Computations . . 167--191
T. Parthasarathy and
R. Sridhar and
B. Sriparna On Lipschitzian $ Q_0 $ and INS Matrices 193--199
Don Coppersmith and
Alan J. Hoffman and
Uriel G. Rothblum Inequalities of Rayleigh Quotients and
Bounds on the Spectral Radius of
Nonnegative Symmetric Matrices . . . . . 201--220
Wiland Schmale A symmetric approach to cyclization for
systems over \boldmath $ C[y] $ . . . . 221--232
S. Galanis and
A. Hadjidimos and
D. Noutsos Optimal $p$-Cyclic SOR for Complex
Spectra . . . . . . . . . . . . . . . . 233--260
Bill G. Horne Lower Bounds for the Spectral Radius of
a Matrix . . . . . . . . . . . . . . . . 261--273
Ettore Fornasini and
Maria Elena Valcher Directed Graphs, $2$D State Models, and
Characteristic Polynomials of
Irreducible Matrix Pairs . . . . . . . . 275--310
Tian-Gang Lei Generalized Schur Functions and
Generalized Decomposable Symmetric
Tensors . . . . . . . . . . . . . . . . 311--332
Klaus Röbenack and
Kurt J. Reinschke Graph-Theoretically Determined
Jordan-Block-Size Structure of Regular
Matrix Pencils . . . . . . . . . . . . . 333--348
Karel Dekimpe and
Paul Igodt and
Veerle Ongenae The Five-Dimensional Complete
Left-Symmetric Algebra Structures
Compatible With an Abelian Lie Algebra
Structure . . . . . . . . . . . . . . . 349--375
W. Q. Liu and
V. Sreeram A New Characterization on Stability
Bounds for Singularly Perturbed Systems 377--388
Richard William Farebrother A. C. Aitken and the Consolidation of
Matrix Theory . . . . . . . . . . . . . 3--12
Geoffrey S. Watson and
Gulhan Alpargu and
George P. H. Styan Some Comments on Six Inequalities
Associated With the Inefficiency of
Ordinary Least Squares With One
Regressor . . . . . . . . . . . . . . . 13--54
M. Ali\'c and
B. Mond and
J. Pe\vcari\'c and
V. Volenec The Arithmetic-Geometric-Harmonic-Mean
and Related Matrix Inequalities . . . . 55--62
S. Ambikkumar and
S. W. Drury Some Remarks on a Conjecture of Boyle
and Handelman . . . . . . . . . . . . . 63--99
Jorma Kaarlo Merikoski and
Ari Virtanen Bounds for Eigenvalues Using the Trace
and Determinant . . . . . . . . . . . . 101--108
Bo-Ying Wang and
Bo-Yan Xi Some Inequalities for Singular Values of
Matrix Products . . . . . . . . . . . . 109--115
B. Mond and
J. Pe\vcari\'c and
J. \vSunde and
S. Varo\vsanec Operator Versions of Some Classical
Inequalities . . . . . . . . . . . . . . 117--126
D. R. Jensen Bounds on Mahalanobis Norms and Their
Applications . . . . . . . . . . . . . . 127--139
Eric Iksoon Im Narrower eigenbounds for Hadamard
products . . . . . . . . . . . . . . . . 141--144
T. W. Anderson and
M. A. Stephens The Continuous and Discrete Brownian
Bridges: Representations and
Applications . . . . . . . . . . . . . . 145--171
J. Fortiana and
C. M. Cuadras A Family of Matrices, the Discretized
Brownian Bridge, and Distance-Based
Regression . . . . . . . . . . . . . . . 173--188
Maria Lucília Carvalho A Joint Estimator for the Eigenvalues of
the Reproduction Mean Matrix of a
Multitype Galton--Watson Process . . . . 189--203
David A. Harville and
Oscar Kempthorne An Alternative Way to Establish the
Necessity Part of the Classical Result
on the Statistical Independence of
Quadratic Forms . . . . . . . . . . . . 205--215
Ingram Olkin A Determinantal Proof of the
Craig-Sakamoto Theorem . . . . . . . . . 217--223
Renate Meyer Nonlinear Eigenvector Algorithms for
Local Optimization in Multivariate Data
Analysis . . . . . . . . . . . . . . . . 225--246
Júlia Volaufová and
Lynn Roy LaMotte A Note on Invariant Quadratics . . . . . 247--253
Paul A. Bekker and
Jos M. F. ten Berge Generic Global Identification in Factor
Analysis . . . . . . . . . . . . . . . . 255--263
Yasuko Chikuse Density Estimation on the Spaces of
Symmetric and Rectangular Matrices . . . 265--290
Shayle R. Searle The Matrix Handling of BLUE and BLUP in
the Mixed Linear Model . . . . . . . . . 291--311
Y. L. Tong The Role of the Covariance Matrix in the
Least-Squares Estimation for a Common
Mean . . . . . . . . . . . . . . . . . . 313--323
Jürgen Groß Special Generalized Inverse Matrices
Connected With the Theory of Unified
Least Squares . . . . . . . . . . . . . 325--327
P. Bhimasankaram and
Rita SahaRay On a Partitioned Linear Model and Some
Associated Reduced Models . . . . . . . 329--339
Czes\law St\kepniak Matrix Loss in Comparison of Linear
Experiments . . . . . . . . . . . . . . 341--348
B. B. Van Der Genugten Testing in the Restricted Linear Model
Using Canonical Partitions . . . . . . . 349--353
J. Dauxois and
G. M. Nkiet Canonical Analysis of Two Euclidean
Subspaces and Its Applications . . . . . 355--388
Jean-Jacques Téchené Les aspects fondamentaux de
l'admissibilité en approximation
quadratique d'applications linéaires.
(French) [Fundamental aspects of
admissibility in the quadratic
approximation of linear mappings] . . . 389--419
N. Rao Chaganty and
A. K. Vaish An Invariance Property of Common
Statistical Tests . . . . . . . . . . . 421--437
Volker Metz Shorted Operators: An Application in
Potential Theory . . . . . . . . . . . . 439--455
Jürgen Groß and
Sven-Oliver Troschke Some Remarks on Partial Orderings of
Nonnegative Definite Matrices . . . . . 457--461
Jürgen Groß and
Götz Trenkler Generalized and Hypergeneralized
Projectors . . . . . . . . . . . . . . . 463--474
Petros Hadjicostas Copositive Matrices and Simpson's
Paradox . . . . . . . . . . . . . . . . 475--488
Tônu Kollo and
Heinz Neudecker The Derivative of an Orthogonal Matrix
of Eigenvectors of a Symmetric Matrix 489--493
Jürgen Groß On Semi-Star-Related Matrices . . . . . 495--503
S. V. Kuznetsov Perturbation Bounds of the Krylov Bases
and Associated Hessenberg Forms . . . . 1--28
George Avdelas and
Apostolos Hadjidimos Optimal $2$-Cyclic MSOR for ``Bowtie''
Spectra and the ``Continuous''
Manteuffel Algorithm . . . . . . . . . . 29--54
Jean H. Bevis and
Kevin K. Blount and
George J. Davis and
Gayla S. Domke and
Valerie A. Miller The Rank of a Graph After Vertex
Addition . . . . . . . . . . . . . . . . 55--69
Daniel Hershkowitz and
Alan J. Hoffman and
Hans Schneider On the Existence of Sequences and
Matrices With Prescribed Partial Sums of
Elements . . . . . . . . . . . . . . . . 71--92
Jiong-Sheng Li and
Xiao-Dong Zhang A New Upper Bound for Eigenvalues of the
Laplacian Matrix of a Graph . . . . . . 93--100
Stephen P. Humphries Cogrowth of Groups and a Matrix of
Redheffer . . . . . . . . . . . . . . . 101--117
Vitali Chkliar Numerical Radii of Simple Powers . . . . 119--121
Jianzhou Liu and
Li Zhu A Minimum Principle and Estimates of the
Eigenvalues for Schur Complements of
Positive Semidefinite Hermitian Matrices 123--145
P. Ara and
K. R. Goodearl and
K. C. O. Meara and
E. Pardo Diagonalization of Matrices Over Regular
Rings . . . . . . . . . . . . . . . . . 147--163
Gilbert Strang Every Unit Matrix is a $ L U L U $ . . . 165--172
C. B. Soh On the Largest Polytope of Polynomials
With a Precise Number of Distinct Real
Zeros . . . . . . . . . . . . . . . . . 173--183
Ho-Jong Jang A Constrained Least-Squares Approach to
the Rapid Reanalysis of Structures . . . 185--202
Shang- Hong Lai and
B. C. Vemuri Sherman--Morrison--Woodbury-Formula-Based Algorithms for the Surface Smoothing Problem 203--229
Fernando C. Silva On Feedback Equivalence and Completion
Problems . . . . . . . . . . . . . . . . 231--245
Mohamed Messaoudene The unit mass ball of three-vectors in $
{\bf R}^6 $ . . . . . . . . . . . . . . 247--298
S. M. Rump Theorems of Perron--Frobenius type for
Matrices without Sign Restrictions . . . 1--42
Steve Kirkland A Note on Perron Vectors for Almost
Regular Tournament Matrices . . . . . . 43--47
W. Govaerts Defining Functions for Manifolds of
Matrices . . . . . . . . . . . . . . . . 49--68
L. A-M. Hanna and
M. E. Khalifa and
S. S. Hassan On Representations of Lie Algebras for
Quantized Hamiltonians . . . . . . . . . 69--79
Ephraim Feig and
Michael Ben-Or On Algebras Related to the Discrete
Cosine Transform . . . . . . . . . . . . 81--106
J. C. Basilio and
B. Kouvaritakis An Algorithm for Coprime Matrix Fraction
Description Using Sylvester Matrices . . 107--125
Do Y. Kwak A Norm Estimate for the ADI Method For
Nonsymmetric Problems . . . . . . . . . 127--141
Nian Li A Matrix Inverse Eigenvalue Problem and
Its Application . . . . . . . . . . . . 143--152
M. H. Lim Invertible Preservers of Certain
Decomposable Tensors . . . . . . . . . . 153--159
Ki Ching Wai Circulant Preconditioners for Failure
Prone Manufacturing Systems . . . . . . 161--180
Mitsuru Kuroda A Quadratic Form $ {\rm tr}(A X^2) $ and
Its Application . . . . . . . . . . . . 181--198
Kurt J. Reinschke and
Gunter Wiedemann Digraph Characterization of Structural
Controllability for Linear Descriptor
Systems . . . . . . . . . . . . . . . . 199--217
Zhong-Zhi Bai A Class of Iteration Methods Based on
the Moser Formula for Nonlinear
Equations in Markov Chains . . . . . . . 219--241
Miroslav Fiedler and
Thomas L. Markham Consecutive-Column and -Row Properties
of Matrices and the Loewner--Neville
Factorization . . . . . . . . . . . . . 243--259
Guo Wuwen Eigenvalues of Nonnegative Matrices . . 261--270
Artibano Micali and
Moussa Ouattara Alg\`ebres Génétiques Dimensionnellement
Nilpotentes. (French)
[Dimensionally-nilpotent genetic
matrices] . . . . . . . . . . . . . . . 271--290
Marc Van Barel and
Adhemar Bultheel A lookahead algorithm for the solution
of block Toeplitz systems . . . . . . . 291--335
Ren-Cang Li Relative Perturbation Theory. III. More
Bounds on Eigenvalue Variation . . . . . 337--345
Musheng Wei Equivalent Conditions for Generalized
Inverses of Products . . . . . . . . . . 347--363
Alberto Borobia and
Julio Moro On Nonnegative Matrices Similar to
Positive Matrices . . . . . . . . . . . 365--379
Richard Arens and
Moshe Goldberg Multilinear Operators and Weighted $
{L}^1 $ Norms . . . . . . . . . . . . . 1--10
Bernd Fritzsche and
Bernd Kirstein and
Vera Krug On Arov-normalized $ j_{qq} - J_q
$-elementary factors . . . . . . . . . . 11--40
Luca Gemignani A Fast Algorithm for Generalized Hankel
Matrices Arising in Finite-Moment
Problems . . . . . . . . . . . . . . . . 41--52
Zhi-Ming Wu and
Wei-min Liu Criterion of High-Codimensional
Bifurcations With Several Pairs of
Purely Imaginary Eigenvalues . . . . . . 53--63
Bruno Codenotti and
Valentino Crespi and
Giovanni Resta On the Permanent of Certain $ (0, 1) $
Toeplitz Matrices . . . . . . . . . . . 65--100
J. Maroulas and
P. Psarrakos The Boundary of the Numerical Range of
Matrix Polynomials . . . . . . . . . . . 101--111
Toshiyuki Kohno and
Hisashi Kotakemori and
Hiroshi Niki and
Masataka Usui Improving the Modified Gauss--Seidel
Method for Z-Matrices . . . . . . . . . 113--123
Gilles Pisier Quadratic Forms in Unitary Operators . . 125--137
Stefano Serra The Extension of the Concept of the
Generating Function to a Class of
Preconditioned Toeplitz Matrices . . . . 139--161
Michael G. Neubauer An Inequality for Positive Definite
Matrices With Applications to
Combinatorial Matrices . . . . . . . . . 163--174
B. N. Cooperstein External flats to varieties in $ {\bf
PG}(M_{n, n}({\rm GF}(q))) $ . . . . . . 175--186
Fabio Di Benedetto Generalized updating problems and
computation of the eigenvalues of
rational Toeplitz matrices . . . . . . . 187--219
Karabi Datta and
YooPyo Hong and
Ran Baik Lee Applications of Linear Transformations
to Matrix Equations . . . . . . . . . . 221--240
Hisashi Ito A New Statement About the Theorem
Determining the Region of Eigenvalues of
Stochastic Matrices . . . . . . . . . . 241--246
Beresford N. Parlett and
Inderjit S. Dhillon Fernando's Solution to Wilkinson's
Problem: An Application of Double
Factorization . . . . . . . . . . . . . 247--279
Zhong-Zhi Bai Parallel Hybrid Algebraic Multilevel
Iterative Methods . . . . . . . . . . . 281--315
J. A. Hillman and
B. R. F. Jefferies and
W. J. Ricker and
B. Straub Differential Properties of the Numerical
Range Map of Pairs of Matrices . . . . . 317--334
Xuzhou Chen and
Robert E. Hartwig On the convergence of power scaled Cesáro
sums . . . . . . . . . . . . . . . . . . 335--358
J. J. McDonald and
D. D. Olesky and
M. J. Tsatsomeros and
P. Van Den Driessche Ray Patterns of Matrices and
Nonsingularity . . . . . . . . . . . . . 359--373
Alberto Borobia and
Rafael Cantó Matrix Scaling: A Geometric Proof of
Sinkhorn's Theorem . . . . . . . . . . . 1--8
M. Niezgoda Group Majorization and Schur Type
Inequalities . . . . . . . . . . . . . . 9--30
R. B. Bapat Structure of a Nonnegative Regular
Matrix and Its Generalized Inverses . . 31--39
K.-H. Förster and
B. Nagy Local Spectral Radii and
Collatz--Wielandt Numbers of Monic
Operator Polynomials With Nonnegative
Coefficients . . . . . . . . . . . . . . 41--57
Rüdiger Rudolf On Monge Sequences in $d$-Dimensional
Arrays . . . . . . . . . . . . . . . . . 59--70
Mario Ahues and
Balmohan Limaye On Error Bounds for Eigenvalues of a
Matrix Pencil . . . . . . . . . . . . . 71--89
F. O. Farid Topics on a Generalization of
Gershgorin's Theorem . . . . . . . . . . 91--116
Jian Shen and
Stewart Neufeld Local Exponents of Primitive Digraphs 117--129
M. Heyouni and
H. Sadok On a Variable Smoothing Procedure for
Krylov Subspace Methods . . . . . . . . 131--149
Bryan Cain and
Luz M. De Alba and
Leslie Hogben and
Charles R. Johnson Multiplicative Perturbations of Stable
and Convergent Operators . . . . . . . . 151--169
Ferenc Móricz and
Billy E. Rhoades An Equivalent Reformulation of
Summability by Weighted Mean Methods . . 171--181
Stephen J. Kirkland and
Michael Neumann and
Bryan L. Shader Applications of Paz's Inequality to
Perturbation Bounds for Markov Chains 183--196
Carmine Di Fiore and
Paolo Zellini Matrix Displacement Decompositions and
Applications to Toeplitz Linear Systems 197--225
Thomas J. Lundy and
John Maybee Uniformly One-Connected Matrices and
Their Inverses . . . . . . . . . . . . . 227--242
Olaf Krafft An Arithmetic-Harmonic-Mean Inequality
for Nonnegative Definite Matrices . . . 243--246
Daniel Alpay and
Vladimir Bolotnikov and
Philippe Loubaton On a New Positive Extension Problem for
Block Toeplitz Matrices . . . . . . . . 247--287
Julio Moro and
José Manuel Vegas Reduced Stability of Parameter-Dependent
Matrices . . . . . . . . . . . . . . . . 289--321
Lieven Le Bruyn Generating Graded Central Simple
Algebras . . . . . . . . . . . . . . . . 323--344
S. Iwata and
D. D. Olesky and
P. van den Driessche Patterns That Preserve Sparsity in
Orthogonal Factorization . . . . . . . . 345--354
Shao-Fang Hong and
Mou-Cheng Zhang On the Structure Rank of a Class of
Structure Matrices . . . . . . . . . . . 355--364
C.-S. Lin Operator Versions of Inequalities and
Equalities on a Hilbert Space . . . . . 365--374
Xinmin Wang Comparison Theorems for a Class of
Parallel Multisplitting AOR Type
Iterative Methods . . . . . . . . . . . 1--16
J. Carlos Gutiérrez Fernández Structure of Bernstein Populations of
Type $ (3, n - 3) $ . . . . . . . . . . 17--32
Tatjana Petek and
Peter \vSemrl Characterization of Jordan Homomorphisms
on $ {M}_n $ Using Preserving Properties 33--46
Gi-Sang Cheon and
Seok-Zun Song On the extreme points on the
majorization polytope $ \Omega_3 ({\bf
y} \prec {\bf x}) $ . . . . . . . . . . 47--52
Sang-Gu Lee and
Se-Won Park and
Han-Guk Seol Linear Operators Strongly Preserving
Matrices Whose Sign Patterns Require the
Perron Property . . . . . . . . . . . . 53--63
I. Gohberg and
M. A. Kaashoek and
F. van Schagen Operator Blocks and Quadruples of
Subspaces: Classification and the
Eigenvalue Completion Problem . . . . . 65--89
A. M. Mathai and
Giorgio Pederzoli A Whittaker Function of Matrix Argument 91--103
M. Niezgoda An Analytical Characterization of
Effective and of Irreducible Groups
Inducing Cone Orderings . . . . . . . . 105--114
Werner Kratz and
Dirk Liebscher A Local Characterization of
Observability . . . . . . . . . . . . . 115--137
Song Goh Say and
Bing Yap Von Matrix Extension and Biorthogonal
Multiwavelet Construction . . . . . . . 139--157
A. S. Lewis Eigenvalue-Constrained Faces . . . . . . 159--181
M. Ballalij and
H. Sadok New Interpretation of Related Huang's
Methods . . . . . . . . . . . . . . . . 183--195
Alexey Ashikhmin and
Juriaan Simonis On the Delsarte Inequalities . . . . . . 197--217
A. R. Meenakshi and
S. Krishnamoorthy On $k$-EP Matrices . . . . . . . . . . . 219--232
George Visick Majorizations of Hadamard Products of
Matrix Powers . . . . . . . . . . . . . 233--240
W. L. Chooi and
M. H. Lim Linear Preservers on Triangular Matrices 241--255
A. Moreno Galindo and
A. Rodríguez Palacios Algebra Norms on Tensor Products of
Algebras, and the Norm Extension Problem 257--305
Didier Leibovici and
Robert Sabatier A Singular Value Decomposition of a
$k$-Way Array for a Principal Component
Analysis of Multiway Data, PTA-$k$ . . . 307--329
Marianna Bolla and
György Michaletzky and
Gábor Tusnády and
Margit Ziermann Extrema of Sums of Heterogeneous
Quadratic Forms . . . . . . . . . . . . 331--365
Dasong Cao Bounds on Eigenvalues and Chromatic
Numbers . . . . . . . . . . . . . . . . 1--13
E. E. Tyrtyshnikov and
N. L. Zamarashkin Spectra of multilevel Toeplitz matrices:
advanced theory via simple matrix
relationships . . . . . . . . . . . . . 15--27
Roger A. Horn and
Noah H. Rhee and
Wasin So Eigenvalue Inequalities and Equalities 29--44
Georg Heinig Generalized Cauchy--Vandermonde Matrices 45--77
Hongyuan Zha and
Zhenyue Zhang A Sorted Partial Jacobi Method and Its
Convergence Analysis . . . . . . . . . . 79--108
Stefano Serra On the Extreme Eigenvalues of Hermitian
(Block) Toeplitz Matrices . . . . . . . 109--129
Bo Bernhardsson and
Anders Rantzer and
Qiu Li Real Perturbation Values and Real
Quadratic Forms in a Complex Vector
Space . . . . . . . . . . . . . . . . . 131--154
B. Chalmers and
B. Shekhtman Actions that characterize $
l^{(n)}_\infty $ . . . . . . . . . . . . 155--169
Zhongxiao Jia A Refined Iterative Algorithm Based on
the Block Arnoldi Process for Large
Unsymmetric Eigenproblems . . . . . . . 171--189
Klaus G. Fischer and
Walter Morris and
Jay Shapiro Mixed Dominating Matrices . . . . . . . 191--214
Mihai Putinar Matrix Analysis and the Friedrichs
Operator of a Quadrature Domain . . . . 215--229
Edward J. Anderson and
Miguel A. Goberna and
Marco A. López Locally Polyhedral Linear Inequality
Systems . . . . . . . . . . . . . . . . 231--253
Poul Hjorth and
Petr Lison\uek and
Steen Markvorsen and
Carsten Thomassen Finite Metric Spaces of Strictly
Negative Type . . . . . . . . . . . . . 255--273
Lie Heng Wang and
Ya Xiang Yuan A Stronger Extension of the Hardy
Inequality . . . . . . . . . . . . . . . 275--286
Y. S. Hung and
D. L. Chu Relationships Between Discrete-Time and
Continuous-Time Algebraic Riccati
Inequalities . . . . . . . . . . . . . . 287--313
Roy Mathias and
Kre\vsimir Veseli\'c A Relative Perturbation Bound for
Positive Definite Matrices . . . . . . . 315--321
Chi-Kwong Li and
Ilya Spitkovsky and
Sudheer Shukla Equality of Higher Numerical Ranges of
Matrices and a Conjecture of Kippenhahn
on Hermitian Pencils . . . . . . . . . . 323--349
J. C. Rosales and
Pedro A. García-Sánchez Nonnegative elements of subgroups of $
{\bf Z}^n $ . . . . . . . . . . . . . . 351--357
U. Helmke and
P. A. Fuhrmann Tangent Spaces of Rational Matrix
Functions . . . . . . . . . . . . . . . 1--40
Hansjörg Linden Bounds for the Zeros of Polynomials From
Eigenvalues and Singular Values of Some
Companion Matrices . . . . . . . . . . . 41--82
A. Varga Computation of Coprime Factorizations of
Rational Matrices . . . . . . . . . . . 83--115
Y. S. Hung and
Delin Chu On Extended $ (J.J') $-Lossless
Factorization . . . . . . . . . . . . . 117--138
L. Yu. Kolotilina Eigenvalue Bounds and Inequalities Using
Vector Aggregation of Matrices . . . . . 139--167
Zhizheng Zhang and
Maixue Liu An Extension of the Generalized Pascal
Matrix and Its Algebraic Properties . . 169--177
Bishan Li and
Lei Li and
Masunori Harada and
Hiroshi Niki and
Michael J. Tsatsomeros An Iterative Criterion for $H$-Matrices 179--190
J. A. Dias da Silva and
Rosário Fernandes and
Amélia Fonseca The Covering Number of the Elements of a
Matroid and Generalized Matrix Functions 191--219
William J. Terrell An Input-Output Representation for
Implicit Linear Time-Varying Systems . . 221--234
Todd Coleman and
Chi-Kwong Li and
Michael Lundquist and
Thomas Travison Isometries for the Induced $c$-Norm on
Square Matrices and Some Related Results 235--256
G. M. L. Gladwell Total Positivity and the $ Q R $
Algorithm . . . . . . . . . . . . . . . 257--272
Shuhuang Xiang and
Shuwen Xiang Notes on Completely Positive Matrices 273--282
Ladislav Skula Involutions for Matrices and Generalized
Inverses . . . . . . . . . . . . . . . . 283--308
Chi-Kwong Li and
Roy Mathias Generalized Eigenvalues of a Definite
Hermitian Matrix Pair . . . . . . . . . 309--321
L. Elsner and
R. Nabben and
M. Neumann Orthogonal Bases that Lead to Symmetric
Nonnegative Matrices . . . . . . . . . . 323--343
Dario Andrea Bini and
Beatrice Meini Inverting Block Toeplitz Matrices in
Block Hessenberg Form by Means of
Displacement Operators: Application to
Queueing Problems . . . . . . . . . . . 1--16
Peter Benner and
Heike Faßbender and
David S. Watkins Two connections between the $ S R $ and
$ H R $ eigenvalue algorithms . . . . . 17--32
Cristen Jones and
M. Seetharama Gowda On the Connectedness of Solution Sets in
Linear Complementarity Problems . . . . 33--44
Ilya Krupnik and
Peter Lancaster Linearizations, Realization, and Scalar
Products for Regular Matrix Polynomials 45--57
Paolo Tilli Singular Values and Eigenvalues of
Non-Hermitian Block Toeplitz Matrices 59--89
Tin-Yau Tam On Lei, Miranda, and Thompson's Result
on Singular Values and Diagonal Elements 91--101
Andrew Lumsdaine and
Deyun Wu Spectra and Pseudospectra of Block
Toeplitz Matrices . . . . . . . . . . . 103--130
Hartmut Logemann Destabilizing Effects of Small Time
Delays on Feedback-Controlled Descriptor
Systems . . . . . . . . . . . . . . . . 131--153
Moody T. Chu On the Optimal Consistent Approximation
to Pairwise Comparison Matrices . . . . 155--168
Charles R. Johnson and
Tomasz Szulc Further Lower Bounds for the Smallest
Singular Value . . . . . . . . . . . . . 169--179
Jiu Ding and
Weihua Hang New Perturbation Results for
Equality-Constrained Least Squares
Problems . . . . . . . . . . . . . . . . 181--192
D. J. Hartfiel and
Carl D. Meyer On the Structure of Stochastic Matrices
With a Subdominant Eigenvalue Near $1$ 193--203
Geir Dahl Majorization, Polyhedra, and Statistical
Testing Problems . . . . . . . . . . . . 205--225
Ivan Slapni\vcar Componentwise Analysis of Direct
Factorization of Real Symmetric and
Hermitian Matrices . . . . . . . . . . . 227--275
Derming Wang On a Trace Inequality . . . . . . . . . 1--8
Monique Laurent A Connection Between Positive
Semidefinite and Euclidean Distance
Matrix Completion Problems . . . . . . . 9--22
Dursun Ta\csçi and
Steve Kirkland A Sequence of Upper Bounds for the
Perron Root of a Nonnegative Matrix . . 23--28
P. N. Shivakumar and
Chuanxiang Ji On the Nonsingularity of Matrices with
Certain Sign Patterns . . . . . . . . . 29--43
Yanyuan Ma and
Alan Edelman Nongeneric Eigenvalue Perturbations of
Jordan Blocks . . . . . . . . . . . . . 45--63
J. D. Botha Products of Diagonalizable Matrices . . 65--82
Gong-ning Chen The General Rational Interpolation
Problem and Its Connection with the
Nevanlinna--Pick Interpolation and Power
Moment Problem . . . . . . . . . . . . . 83--117
Onn Chan and
T. K. Lam Hook Immanantal Inequalities for Trees
Explained . . . . . . . . . . . . . . . 119--131
Shmuel Friedland Computing the Hausdorff Dimension of
Subshifts Using Matrices . . . . . . . . 133--167
Thomas Huckle Computations with Gohberg--Semencul-Type
Formulas for Toeplitz Matrices . . . . . 169--198
Yun Yuan Jin Iterative Refinement Using Splitting
Methods . . . . . . . . . . . . . . . . 199--214
Satoru Iwata Block Triangularization of
Skew-Symmetric Matrices . . . . . . . . 215--226
Chi-Kwong Li Essay review of \it Matrix analysis
[Springer, New York, 1997; 1 477 662] by
R. Bhatia . . . . . . . . . . . . . . . 227--229
A. K. Lal Inequalities for the $q$-permanent. II 1--16
P. Fleischmann and
I. Janiszczak and
R. Knörr The number of regular semisimple classes
of special linear and unitary groups . . 17--26
Mau-hsiang Shih and
Yung-yih Lur and
Chin-tzong Pang An inequality for the spectral radius of
an interval matrix . . . . . . . . . . . 27--36
Glenn D. Appleby Similarity classes for nilpotent
operators over Dedekind domains . . . . 37--59
V. A. Strauss On an estimate of the eigenvalues for an
infinite-dimensional matrix and its
application to the problem of the
completeness of an eigenvector system of
a completely continuous operator . . . . 61--76
Ameur Seddik and
Josette Charles Sur l'image et le noyau d'une dérivation
généralisée. (French) [On the image and
kernel of a generalized derivation] . . 77--83
Victor M. Adukov Generalized Inversion of Block Toeplitz
Matrices . . . . . . . . . . . . . . . . 85--124
Jim Agler and
J. William Helton and
Mark Stankus Classification of Hereditary Matrices 125--160
Thomas L. Moeller and
Jaime Milstein Generalized algebraic structures for the
representation of discrete systems . . . 161--191
C. M. da Fonseca The Inertia of Certain Hermitian Block
Matrices . . . . . . . . . . . . . . . . 193--210
Yair Shapira Parallelizable approximate solvers for
recursions arising in preconditioning 211--237
S. M. Malamud On a class of multiparameter
perturbations of positive definite
operators with fixed bounds on their
spectrum . . . . . . . . . . . . . . . . 239--257
Augusto Ferrante and
Bernard C. Levy Canonical Form of Symplectic Matrix
Pencils . . . . . . . . . . . . . . . . 259--300
José A. Lubary Multiplicity of solutions of
second-order linear differential
equations on networks . . . . . . . . . 301--315
Anton A. Stoorvogel and
Ali Saberi The discrete algebraic Riccati equation
and linear matrix inequality . . . . . . 317--365
M. Barnabei and
L. B. Montefusco Recursive properties of Toeplitz and
Hurwitz matrices . . . . . . . . . . . . 367--388
Mao-Ting Chien and
Lina Yeh and
Yean-Tzuoh Yeh and
Fun-Zin Lin On Geometric Properties of the Numerical
Range . . . . . . . . . . . . . . . . . 389--410
Jiang Shen and
Stewart Neufeld On a Problem of Lewin . . . . . . . . . 411--426
R. B. Bapat A max version of the Perron--Frobenius
theorem . . . . . . . . . . . . . . . . 3--18
Peter Benner and
Heike Faßbender The symplectic eigenvalue problem, the
butterfly form, the $ S R $ algorithm,
and the Lanczos method . . . . . . . . . 19--47
Lothar Berg and
Gerlind Plonka Compactly supported solutions of
two-scale difference equations . . . . . 49--75
Joan-Josep Climent and
Carmen Perea Some comparison theorems for weak
nonnegative splittings of bounded
operators . . . . . . . . . . . . . . . 77--106
Gene Cooperman Practical task-oriented parallelism for
Gaussian elimination in distributed
memory . . . . . . . . . . . . . . . . . 107--120
V. D. Didenko and
B. Silbermann Extension of $ C^* $-algebras and
Moore--Penrose stability of sequences of
additive operators . . . . . . . . . . . 121--140
Jean-Luc Dorier The role of formalism in the teaching of
the theory of vector spaces . . . . . . 141--160
J. Ferrer and
F. Puerta and
X. Puerta Differentiable structure of the set of
controllable $ ({A}, {B})^t$-invariant
subspaces . . . . . . . . . . . . . . . 161--177
Miroslav Fiedler Some characterizations of symmetric
inverse $M$-matrices . . . . . . . . . . 179--187
K.-H. Förster and
B. Nagy Spectral properties of rational matrix
functions with nonnegative realizations 189--200
K. Galkowski and
E. Rogers and
D. H. Owens Matrix rank based conditions for
reachability/controllability of discrete
linear repetitive processes . . . . . . 201--224
Georg Heinig and
Karla Rost Representations of Toeplitz-plus-Hankel
matrices using trigonometric
transformations with application to fast
matrix-vector multiplication . . . . . . 225--248
Daniel Hershkowitz On cones and stability . . . . . . . . . 249--259
Nicholas J. Higham and
Sheung Hun Cheng Modifying the inertia of matrices
arising in optimization . . . . . . . . 261--279
Walter Hoffmann The Gauss--Huard algorithm and LU
factorization . . . . . . . . . . . . . 281--286
Tingshu Hu and
Li Qiu On structured perturbation of Hermitian
matrices . . . . . . . . . . . . . . . . 287--314
C. Jordán and
J. R. Torregrosa and
A. Urbano An algorithm for nilpotent completions
of partial Jordan matrices . . . . . . . 315--325
Peter Junghanns and
Uwe Luther Uniform convergence of a fast algorithm
for Cauchy singular integral equations 327--347
Thomas J. Laffey Extreme nonnegative matrices . . . . . . 349--357
Darren M. Littleboy and
N. K. Nichols Modal coupling in linear control systems
using robust eigenstructure assignment 359--379
Ralf Lösche and
Hubert Schwetlick and
Gisela Timmermann A modified block Newton iteration for
approximating an invariant subspace of a
symmetric matrix . . . . . . . . . . . . 381--400
Wolfgang Mackens and
Heinrich Voss A projection method for computing the
minimum eigenvalue of a symmetric
positive definite Toeplitz matrix . . . 401--415
Beresford N. Parlett Spectral sensitivity of products of
bidiagonals . . . . . . . . . . . . . . 417--431
Daniel Potts and
Gabriele Steidl and
Manfred Tasche Fast and stable algorithms for discrete
spherical Fourier transforms . . . . . . 433--450
Gregorio Quintana-Ortí and
Enrique S. Quintana-Ortí Parallel codes for computing the
numerical rank . . . . . . . . . . . . . 451--470
Claus Michael Ringel Exceptional modules are tree modules . . 471--493
Klaus Röbenack and
Kurt J. Reinschke Digraph based determination of Jordan
block size structure of singular matrix
pencils . . . . . . . . . . . . . . . . 495--507
A. Roca and
I. Zaballa Restricted invariant factor assignment
under state-feedback . . . . . . . . . . 509--529
Steffen Roch and
Bernd Silbermann A note on singular values of
Cauchy--Toeplitz matrices . . . . . . . 531--536
Karla Rost and
Zden\vek Vav\vrín Inversion formulas and fast algorithms
for Löwner-Vandermonde matrices . . . . . 537--549
Wiland Schmale Matrix cyclization over complex
polynomials . . . . . . . . . . . . . . 551--562
Hans Schneider and
Hans F. Weinberger On matrices for which norm bounds are
attained . . . . . . . . . . . . . . . . 563--577
Jeffrey L. Stuart and
James R. Weaver Fiedler matrices and their factorization 579--594
Ji-guang Sun Sensitivity analysis of the
discrete-time algebraic Riccati equation 595--615
Bo-Ying Wang and
Fuzhen Zhang On normal matrices of zeros and ones
with fixed row sum . . . . . . . . . . . 617--626
V. Mehrmann Chemnitz 1996 Conference report . . . . 627
D. J. Hartfiel and
Uriel G. Rothblum Convergence of inhomogeneous products of
matrices and coefficients of ergodicity 1--9
Francesco Barioli Completely positive matrices with a
book-graph . . . . . . . . . . . . . . . 11--31
Charles R. Johnson and
Michael Lundquist Local inversion of matrices with sparse
inverses . . . . . . . . . . . . . . . . 33--39
Yaokun Wu and
Qiao Li On the matrix equation $ A^l + A^{l + k}
= J_n $ . . . . . . . . . . . . . . . . 41--48
C. S. Karuppan Chetty and
S. Maria Arulraj Falsity of Wang's conjecture on stars 49--56
Xue-Dong Dong and
Cheong Boon Soh and
Erry Gunawan Matrix characterization of MDS linear
codes over modules . . . . . . . . . . . 57--61
Jörg Hoffmann and
Dieter Prätzel-Wolters and
Eva Zerz A balanced canonical form for
discrete-time minimal systems using
characteristic maps . . . . . . . . . . 63--81
Bo Cheng and
Bolian Liu Matrices of zeros and ones with the
maximum jump number . . . . . . . . . . 83--95
Miloslav Havlícek and
Ji\vrí Patera and
Edita Pelantova On Lie gradings. II . . . . . . . . . . 97--125
R. W. Cross An index theorem for the product of
linear relations . . . . . . . . . . . . 127--134
Bernard C. Levy A note on the hyperbolic singular value
decomposition . . . . . . . . . . . . . 135--142
Donald W. Robinson The image of the adjoint mapping . . . . 143--148
G. Picci and
J. M. van den Hof and
J. H. van Schuppen Primes in several classes of the
positive matrices . . . . . . . . . . . 149--185
Shaun M. Fallat and
Charles R. Johnson and
Ronald L. Smith and
P. van den Driessche Eigenvalue location for nonnegative and
$Z$-matrices . . . . . . . . . . . . . . 187--198
Gong-ning Chen and
Yong-jian Hu The truncated Hamburger matrix moment
problems in the nondegenerate and
degenerate cases, and matrix continued
fractions . . . . . . . . . . . . . . . 199--236
Marvin Marcus On a determinant result of I. Olkin . . 237--238
Martin Charles Golumbic Matrix sandwich problems . . . . . . . . 239--251
Zhang Yu Lin On the number of invariant polynomials
of the product of matrices with
prescribed similarity classes . . . . . 253--269
André Bouchet Multimatroids. IV. Chain-group
representations . . . . . . . . . . . . 271--289
P. Zizler Norms of sampling operators . . . . . . 291--298
Alvaro R. De Pierro and
Musheng Wei Reverse order law for reflexive
generalized inverses of products of
matrices . . . . . . . . . . . . . . . . 299--311
Vlad Ionescu Time-varying discrete Riccati equation
in terms of Ben Artzi-Gohberg dichotomy 313--336
H. Pühl and
W. Schirotzek and
M. R. Weber On matrices satisfying a maximum
principle with respect to a cone . . . . 337--356
S. Kirkland Review of \em Nonnegative Matrices and
Applications . . . . . . . . . . . . . . 357
Boris Lavri\vc Convergence of certain bounded sequences 1--10
Georg Heinig and
Adam Bojanczyk Transformation techniques for Toeplitz
and Toeplitz-plus-Hankel matrices II.
Algorithms . . . . . . . . . . . . . . . 11--36
Vladimir V. Sergeichuk Unitary and Euclidean representations of
a quiver . . . . . . . . . . . . . . . . 37--62
D. Stott Parker Schur complements obey Lambek's
categorial grammar: Another view of
Gaussian elimination and $ L U $
decomposition . . . . . . . . . . . . . 63--84
Chongguang Cao and
Zhang Xian Multiplicative semigroup automorphisms
of upper triangular matrices over rings 85--90
P. Tilli Locally Toeplitz sequences: Spectral
properties and applications . . . . . . 91--120
Siegfried M. Rump Structured perturbations and symmetric
matrices . . . . . . . . . . . . . . . . 121--132
J. Kästner and
A. Borobia and
A. Dress and
Ch. Zylka Extremal majorizing and anti-majorizing
matrices . . . . . . . . . . . . . . . . 133--145
A. Salam What is a vector Hankel determinant . . 147--161
Juan-Enrique Martínez-Legaz and
Ivan Singer On $ \Phi $-convexity of convex
functions . . . . . . . . . . . . . . . 163--181
J. C. Gower and
B. Zeilman Orthogonality and its approximation in
the analysis of asymmetry . . . . . . . 183--193
Harm Bart and
Leo Kroon and
Rob Zuidwijk Quasicomplete factorization and the two
machine flow shop problem . . . . . . . 195--219
Russell Merris Laplacian graph eigenvectors . . . . . . 221--236
Gangsong Leng and
Yao Zhang The generalized sine theorem and
inequalities for simplices . . . . . . . 237--247
Yingshan Zhang and
Shanqi Pang and
Zhengming Jiao and
Wenzheng Zhao Group partition and systems of
orthogonal idempotents . . . . . . . . . 249--262
Frank K. Hwang and
Shmuel Onn and
Uriel G. Rothblum Representations and characterizations of
vertices of bounded-shape partition
polytopes . . . . . . . . . . . . . . . 263--284
F. Uhlig Challenges in Matrix Theory 1998 . . . . 285
Alberto Borobia and
Julio Moro On the boundary of the set of real
spectra of nonnegative matrices . . . . 287--293
Georg Heinig Matrices with higher order displacement
structure . . . . . . . . . . . . . . . 295--301
Erxiong Jiang Challenging eigenvalue perturbation
problems . . . . . . . . . . . . . . . . 303--307
A. C. Antoulas Approximation of linear operators in the
$2$-norm . . . . . . . . . . . . . . . . 309--316
Ren-Cang Li Spectral variations and Hadamard
products: Some problems . . . . . . . . 317--326
Jean Jacques Loiseau and
Sabine Mondié and
Ion Zaballa and
Petr Zagalak Assigning the Kronecker invariants of a
matrix pencil by row or column
completions . . . . . . . . . . . . . . 327--336
J. R. Gómez and
A. Jiménez-Merchán and
J. Núñez-Valdés An algorithm to obtain laws of families
of filiform Lie algebras . . . . . . . . 1--12
Ludwig Elsner and
Daniel Hershkowitz Hadamard functions preserving
nonnegative $H$-matrices . . . . . . . . 13--19
Tian-Gang Lei and
Bo-Ying Wang Indices and nonzero decomposable
elements of a symmetry class of tensors 21--30
Salah Mecheri Derivation ranges . . . . . . . . . . . 31--38
R. Fleming and
G. Grossman and
T. Lenker and
S. Narayan and
S.-C. Ong On Schur $D$-stable matrices . . . . . . 39--50
K. Burrage and
Z. Jackiewicz and
B. Welfert Block-Toeplitz preconditioning for
static and dynamic linear systems . . . 51--74
Satoru Fujishige and
Zaifu Yang A lexicographic algebraic theorem and
its applications . . . . . . . . . . . . 75--91
Guiping Xu and
Musheng Wei and
Daosheng Zheng On solutions of matrix equation $ A X B
+ C Y D = F $ . . . . . . . . . . . . . 93--109
Luoluo Li An improvement on Ky Fan's theorem of
matrix eigenvalues . . . . . . . . . . . 111--117
M. Carriegos and
J. A. Hermida-Alonso and
T. Sánchez-Giralda The pointwise feedback relation for
linear dynamical systems . . . . . . . . 119--134
Musheng Wei and
Alvaro R. De Pierro Perturbation analysis of the canonical
subspaces . . . . . . . . . . . . . . . 135--151
Peter Nylen Null space structure of tree-patterned
matrices . . . . . . . . . . . . . . . . 153--161
S. K. Godunov and
M. Sadkane Computation of pseudospectra via
spectral projectors . . . . . . . . . . 163--175
Siegfried M. Rump The sign-real spectral radius and cycle
products . . . . . . . . . . . . . . . . 177--180
Domenico D'Alessandro Invariant manifolds and projective
combinations of solutions of the Riccati
differential equation . . . . . . . . . 181--193
Roy Meshulam and
Nizar Radwan On linear subspaces of nilpotent
elements in a Lie algebra . . . . . . . 195--199
Allan Pinkus An interlacing property of eigenvalues
of strictly totally positive matrices 201--206
Jia-Yu Shao and
Suk-Geun Hwang Generalized exponents of non-primitive
graphs . . . . . . . . . . . . . . . . . 207--225
Edmond A. Jonckheere and
Farooq Ahmad and
Eugene Gutkin Differential topology of numerical range 227--254
Daniel L. Boley The algebraic structure of pencils and
block Toeplitz matrices . . . . . . . . 255--279
Zhourong Chen and
Wen Li A note on nonnegative normal matrices 281--283
Albrecht Böttcher and
Sergei M. Grudsky On the condition numbers of large
semi-definite Toeplitz matrices . . . . 285--301
Ivan G. Ivanov and
Salah M. El-sayed Properties of positive definite
solutions of the equation $ X + A*X - 2
A = I $ . . . . . . . . . . . . . . . . 303--316
Ya Yan Lu Exponentials of symmetric matrices
through tridiagonal reductions . . . . . 317--324
Helene Shapiro Introduction . . . . . . . . . . . . . . 5--8
Friedrich L. Bauer Olga Taussky-Todd 30.8.1906--7.10.1995 9--12
Alan Hoffman What Olga did for me . . . . . . . . . . 13--13
Hans Schneider Some personal reminiscences of Olga
Taussky-Todd . . . . . . . . . . . . . . 15--19
Phil Hanlon To the Latimer--Macduffee theorem and
beyond! . . . . . . . . . . . . . . . . 21--37
Charles R. Johnson Olga, matrix theory and the Taussky
unification problem . . . . . . . . . . 39--49
Thomas J. Laffey Some aspects of Olga Taussky's work in
algebra . . . . . . . . . . . . . . . . 51--57
Anonymous Publications about Olga Taussky Todd . . 59--61
Anonymous [Curriculum vitae of] Olga Taussky Todd 62--63
Anonymous Acknowledgements . . . . . . . . . . . . 64--64
Anonymous Students of Olga Taussky Todd . . . . . 65--66
Anonymous Publications of Olga Taussky Todd . . . 67--83
Anonymous Olga Taussky Todd problems and solutions 84--85
Yimin Wei and
J. Maroulas and
P. Psarrakos A characterization and representation of
the generalized inverse $ A^{(2)}_{T, S}
$ and its applications . . . . . . . . . 87--96
Michael G. Neubauer and
William Watkins and
Joel Zeitlin On the connectedness of numerical range
of matrix polynomials . . . . . . . . . 97
J. Maroulas and
P. Psarrakos On the connectedness of numerical range
of matrix polynomials . . . . . . . . . 97--108
Michael G. Neubauer and
William Watkins and
Joel Zeitlin Notes on $D$-optimal designs . . . . . . 109--127
Avram Sidi Krylov subspace methods for eigenvalues
with special properties and their
analysis for normal matrices . . . . . . 129--162
Edwin R. van Dam A Cauchy--Khinchin matrix inequality . . 163--172
Jean Dazord Comparison of two norms of matrices . . 173--187
Khaled A. S. Abdel-Ghaffar Long division for Laurent series
matrices and the optimal assignment
problem . . . . . . . . . . . . . . . . 189--197
Joel Friedman Error bounds on the power method for
determining the largest eigenvalue of a
symmetric, positive definite matrix . . 199--216
S. W. Drury Trace class multipliers and spectral
variation of normal matrices . . . . . . 217--227
Bülent Bilir and
Carmen Chicone A generalization of the inertia theorem
for quadratic matrix polynomials . . . . 229--240
K. Veseli\'c Estimating the operator exponential . . 241--244
Alain Mom Eigenstructure of distance matrices with
an equal distance subset . . . . . . . . 245--251
Máté Györy and
Lajos Molnár and
Peter \vSemrl Linear rank and corank preserving maps
on $ B(H) $ and an application to
$^*$-semigroup isomorphisms of operator
ideals . . . . . . . . . . . . . . . . . 253--266
Musheng Wei Perturbation theory for the
Eckart--Young--Mirsky theorem and the
constrained total least squares problem 267--287
Jane Day and
Wasin So and
Robert C. Thompson The spectrum of a Hermitian matrix sum 289--332
R. A. Brualdi From the Editor-in-Chief . . . . . . . . 335--336
Anonymous Referees for volumes 261--280 . . . . . 337--340
D. C. van Leijenhorst How symmetric can a function be? . . . . 1--10
Yangfeng Su and
Amit Bhaya and
Eugenius Kaszkurewicz and
Victor S. Kozyakin Further results on convergence of
asynchronous linear iterations . . . . . 11--24
L. Vaserstein and
E. Wheland Rigid relations in $ G L_2 F $ . . . . . 25--31
Thomas L. Markham and
Ronald L. Smith A Schur complement inequality for
certain $P$-matrices . . . . . . . . . . 33--41
J. W. Nieuwenhuis When to call a linear system nonnegative 43--58
Boris Mirman Numerical ranges and Poncelet Curves . . 59--85
Wen Li On Nekrasov matrices . . . . . . . . . . 87--96
Gordon Simons and
Yi-Ching Yao Approximating the inverse of a symmetric
positive definite matrix . . . . . . . . 97--103
H. Bart and
R. A. Zuidwijk Simultaneous reduction to triangular
forms after extension with zeroes . . . 105--135
Bernd Fritzsche and
Bernd Kirstein and
Vera Krug On several types of resolvent matrices
of nondegenerate matricial Carathéodory
problems . . . . . . . . . . . . . . . . 137--170
Bernard Hanzon and
Raimund J. Ober Overlapping block-balanced canonical
forms for various classes of linear
systems . . . . . . . . . . . . . . . . 171--225
Luca Dieci Real Hamiltonian logarithm of a
symplectic matrix . . . . . . . . . . . 227--246
Roberto Andreani and
José Mario Martínez On the solution of the extended linear
complementarity problem . . . . . . . . 247--257
Suk-Geun Hwang and
Arnold R. Kräuter and
T. S. Michael An upper bound for the permanent of a
nonnegative matrix . . . . . . . . . . . 259--263
Daniel Potts and
Gabriele Steidl Optimal trigonometric preconditioners
for nonsymmetric Toeplitz systems . . . 265--292
O. Beaumont Solving interval linear systems with
linear programming techniques . . . . . 293--309
Shaofang Hong Bounds for determinants of matrices
associated with classes of arithmetical
functions . . . . . . . . . . . . . . . 311--322
Zhong-Zhi Bai A class of parallel decomposition-type
relaxation methods for large sparse
systems of linear equations . . . . . . 1--24
Arne Storjohann Computing Hermite and Smith normal forms
of triangular integer matrices . . . . . 25--45
M. Gondran and
M. Minoux Eigenvalues and eigen-functionals of
diagonally dominant endomorphisms in
Min-Max analysis . . . . . . . . . . . . 47--61
Frank D. Grosshans Invariant theory, orbits and
non-decomposable quadruples of subspaces
having non-zero defect . . . . . . . . . 63--81
Peter M. Gibson and
Guo-Hui Zhang Combinatorially orthogonal matrices and
related graphs . . . . . . . . . . . . . 83--95
Ivan P. Gavrilyuk and
Vladimir L. Makarov Exact and approximate solutions of some
operator equations based on the Cayley
transform . . . . . . . . . . . . . . . 97--121
Naoharu Ito and
Hiroshi Inaba Dynamic feedback $ (A, B) $-invariant
submodules for linear systems over
commutative Noetherian domains . . . . . 123--129
Shangjun Yang On block cocyclic pairs of nonnegative
matrices . . . . . . . . . . . . . . . . 131--143
Leslie Hogben Completions of inverse $M$-matrix
patterns . . . . . . . . . . . . . . . . 145--160
Stefano Serra Capizzano An ergodic theorem for classes of
preconditioned matrices . . . . . . . . 161--183
Steffen Roch Numerical ranges of large Toeplitz
matrices . . . . . . . . . . . . . . . . 185--198
Soojin Cho Minimal null designs of subspace lattice
over finite fields . . . . . . . . . . . 199--220
Jia-Yu Shao On digraphs and forbidden configurations
of strong sign nonsingular matrices . . 221--232
Juan M. Gracia and
Francisco E. Velasco Global analytic block similarity to a
Brunovsky form . . . . . . . . . . . . . 233--247
Frank Gerth, III Some asymptotics for triangular matrices
over finite fields . . . . . . . . . . . 249--261
Shu-huang Xiang and
Zhao-yong You Weak block diagonally dominant matrices,
weak block $H$-matrix and their
applications . . . . . . . . . . . . . . 263--274
Peter Kravanja and
Marc Van Barel A fast Hankel solver based on an
inversion formula for Loewner matrices 275--295
Xiao-Wen Chang On the sensitivity of the $ S R $
decomposition . . . . . . . . . . . . . 297--310
Darryn Bryant and
Phil Diamond and
Igor Vladimirov Generalized optimal lattice covering of
finite-dimensional Euclidean space . . . 311--324
Matthias Pott On the convergence of asynchronous
iteration methods for non-linear
paracontractions and consistent linear
systems . . . . . . . . . . . . . . . . 1--33
Yongge Tian The Moore--Penrose inverses of $ m
\times n $ block matrices and their
applications . . . . . . . . . . . . . . 35--60
César E. Villarreal Ergodic decomposition of Markov chains 61--73
Peter Rowlinson On graphs with multiple eigenvalues . . 75--85
Allen D. Ziebur Chain rules for functions of matrices 87--97
Yu. A. Alpin and
L. Yu. Kolotilina Inequalities for the Perron root related
to Levinger's theorem . . . . . . . . . 99--113
E. B. Curtis and
D. Ingerman and
J. A. Morrow Circular planar graphs and resistor
networks . . . . . . . . . . . . . . . . 115--150
G. W. Stewart On the adjugate matrix . . . . . . . . . 151--164
Takahiko Nakazi and
Kazuyoshi Okubo $ \rho $-Contraction and $ 2 \times 2$
Matrix . . . . . . . . . . . . . . . . . 165--169
O. Araujo and
J. A. de la Peña The connectivity index of a weighted
graph . . . . . . . . . . . . . . . . . 171--177
Gong-ning Chen and
Yong-jian Hu On the multiple Nevanlinna--Pick matrix
interpolation in the class $ C_p $ and
the Carathéodory matrix coefficient
problem . . . . . . . . . . . . . . . . 179--203
A. Eisinberg and
G. Franzé and
P. Pugliese Vandermonde matrices on Chebyshev points 205--219
Luca Gemignani A hybrid approach to the computation of
the inertia of a parametric family of
Bézoutians with application to some
stability problems for bivariate
polynomials . . . . . . . . . . . . . . 221--238
Scott A. McCullough and
Leiba Rodman Normal generalized selfadjoint operators
in Krein spaces . . . . . . . . . . . . 239--245
Chang An Bounds on the second largest eigenvalue
of a tree with perfect matchings . . . . 247--255
Yi-Jia Tan Eigenvalues and eigenvectors for
matrices over distributive lattices . . 257--272
Mohamed El Kadiri Opérateurs positifs sur certains espaces
de formes quadratiques. (French)
[Positive operators on certain quadratic
form spaces] . . . . . . . . . . . . . . 273--288
Zhizheng Zhang and
Tianming Wang Generalized Pascal matrix and recurrence
sequences . . . . . . . . . . . . . . . 289--299
Anonymous Householder Award X . . . . . . . . . . 301
M. Barnabei and
C. Guerrini and
L. B. Montefusco Some algebraic aspects of signal
processing . . . . . . . . . . . . . . . 3--17
Dario Andrea Bini and
Luca Gemignani Fast fraction-free triangularization of
Bézoutians with applications to
sub-resultant chain computation . . . . 19--39
Daniel L. Boley and
Franklin T. Luk and
David Vandevoorde A fast method to diagonalize a Hankel
matrix . . . . . . . . . . . . . . . . . 41--52
Xiao-Wen Chang and
Christopher C. Paige Sensitivity analyses for factorizations
of sparse or structured matrices . . . . 53--71
Mei-Qin Chen A direction set based algorithm for
least squares problems in adaptive
signal processing . . . . . . . . . . . 73--94
Eleanor Chu and
Alan George FFT algorithms and their adaptation to
parallel processing . . . . . . . . . . 95--124
Martin Daumer and
Markus Falk On-line change-point detection (for
state space models) using multi-process
Kalman filters . . . . . . . . . . . . . 125--135
Martin Hanke and
James Nagy Inverse Toeplitz preconditioners for
ill-posed problems . . . . . . . . . . . 137--156
Georg Heinig and
Karla Rost DFT representations of
Toeplitz-plus-Hankel Bézoutians with
application to fast matrix-vector
multiplication . . . . . . . . . . . . . 157--175
Julie Kamm and
James G. Nagy Kronecker product and SVD approximations
in image restoration . . . . . . . . . . 177--192
Miguel Sousa Lobo and
Lieven Vandenberghe and
Stephen Boyd and
Herve Lebret Applications of second-order cone
programming . . . . . . . . . . . . . . 193--228
J. J. Martínez and
J. M. Peña Factorizations of Cauchy--Vandermonde
matrices . . . . . . . . . . . . . . . . 229--237
Irwin S. Pressman Matrices with multiple symmetry
properties: Applications of
centrohermitian and perhermitian
matrices . . . . . . . . . . . . . . . . 239--258
A. H. Sayed and
V. H. Nascimento and
S. Chandrasekaran Estimation and control with bounded data
uncertainties . . . . . . . . . . . . . 259--306
Stefano Serra Capizzano Korovkin theorems and linear positive
Gram matrix algebra approximations of
Toeplitz matrices . . . . . . . . . . . 307--334
Marc Van Barel and
Peter Kravanja A stabilized superfast solver for
indefinite Hankel systems . . . . . . . 335--355
D. O'Leary and
R. Plemmons and
H. Schneider and
P. N. Shivakumar Winnipeg 1997 Conference report . . . . 357
Guoliang Chen and
Yifeng Xue The expression of the generalized
inverse of the perturbed operator under
Type I perturbation in Hilbert spaces 1--6
M. M. Konstantinov and
M. O. Stanislavova and
P. H. Petkov Perturbation bounds and characterisation
of the solution of the associated
algebraic Riccati equation . . . . . . . 7--31
Russell Merris A note on Laplacian graph eigenvalues 33--35
Vadim Olshevsky Eigenvector computation for almost
unitary Hessenberg matrices and
inversion of Szeg\Ho--Vandermonde
matrices via discrete transmission lines 37--67
José C. Geromel and
Maurício C. de Oliveira and
Liu Hsu LMI characterization of structural and
robust stability . . . . . . . . . . . . 69--80
Ralph Byers and
Chunyang He and
Volker Mehrmann Where is the nearest non-regular pencil? 81--105
J. Arias-de-Reyna Gaussian variables, polynominals and
permanents . . . . . . . . . . . . . . . 107--114
Ronen Peretz Linear conditions for a polynomial $
P(X, Y) $ to have younger mates . . . . 115--121
Bruno Codenotti and
Ivan Gerace and
Sebastiano Vigna Hardness results and spectral techniques
for combinatorial problems on circulant
graphs . . . . . . . . . . . . . . . . . 123--142
Leslie Hogben Completions of $M$-matrix patterns . . . 143--152
Zhi-Hao Cao Nonstationary two-stage multisplitting
methods with overlapping blocks . . . . 153--163
Matja\vz Omladi\vc and
Peter \vSemrl Preserving diagonalisability . . . . . . 165--179
Luoluo Li The undirected graph and estimates of
matrix singular values . . . . . . . . . 181--188
Boris Lavri\vc Compatible lattice orders and linear
operators on $ R^n $ . . . . . . . . . . 189--200
James Angelos and
George Grossman and
Edwin Kaufman and
Terry Lenker and
Leela Rakesh Limit cycles for successive projections
onto hyperplanes in $ R^n $ . . . . . . 201--228
Fabio Di Benedetto Solution of Toeplitz normal equations by
sine transform based preconditioning . . 229--255
Bor Plestenjak A numerical algorithm for computing a
basis for the root subspace at a
nonderogatory eigenvalue of a
multiparameter system . . . . . . . . . 257--276
M. Neumann A conjecture concerning the Hadamard
product of inverses of $M$-matrices . . 277--290
L. Elsner and
Kh. D. D. Ikramov Normal matrices: An update . . . . . . . 291--303
Jiong-Sheng Li and
Xiao-Dong Zhang On the Laplacian eigenvalues of a graph 305--307
Zhi-Hao Cao and
Zhong-Yun Liu Symmetric multisplitting of a symmetric
positive definite matrix . . . . . . . . 309--319
T. Moreland and
S. Gudder Infima of Hilbert space effects . . . . 1--17
Guangcai Zhou and
Xiang-Gen Xia Ambiguity resistant polynomial matrices 19--35
J. D. Botha Products of diagonalizable matrices over
a field of characteristic two . . . . . 37--44
G. De Samblanx and
A. Bultheel Restrictions on implicit filtering
techniques for orthogonal projection
methods . . . . . . . . . . . . . . . . 45--68
Antonio Aparecido de Andrade and
Reginaldo Palazzo, Jr. Construction and decoding of BCH Codes
over finite commutative rings . . . . . 69--85
S. Galanis and
A. Hadjidimos and
D. Noutsos A Young--Eidson's type algorithm for
complex $p$-cyclic SOR spectra . . . . . 87--106
Izchak Lewkowicz Convex invertible cones of matrices ---
a unified framework for the equations of
Sylvester, Lyapunov and Riccati . . . . 107--133
Gerhard Freiling and
Vlad Ionescu Time-varying discrete Riccati equation:
some monotonicity results . . . . . . . 135--148
R. S. Leite and
T. R. W. Richa and
C. Tomei Geometric proofs of some theorems of
Schur--Horn type . . . . . . . . . . . . 149--173
J. C. Rosales and
P. A. García-Sánchez On normal affine semigroups . . . . . . 175--186
Erich W. Ellers and
Nikolai Gordeev A generalization of Sourour's theorem 187--196
Binyamin Schwarz A conjecture concerning strongly
connected graphs . . . . . . . . . . . . 197--208
Jianzhou Liu Some inequalities for singular values
and eigenvalues of generalized Schur
complements of products of matrices . . 209--221
Gong-Ning Chen and
Yong-Jian Hu Inversion of a generalized block Loewner
matrix, the minimal partial realization,
and matrix rational interpolation
problem . . . . . . . . . . . . . . . . 223--259
Milan Hladnik Schur norms of bicirculant matrices . . 261--272
I. M. Wanless The Holens-\Dbarokovi\'c Conjecture on
permanents fails! . . . . . . . . . . . 273--285
Grega Cigler On matrix groups with finite spectrum 287--295
Xingzhi Zhan Norm inequalities for Cartesian
decompositions . . . . . . . . . . . . . 297--301
Andrew Baker Right eigenvalues for quaternionic
matrices: A topological approach . . . . 303--309
Lajos Molnár Some linear preserver problems on $B$ (
$H$ ) concerning rank and corank . . . . 311--321
Gregory Ammar and
Christian Mehl and
Volker Mehrmann Schur-like forms for matrix Lie groups,
Lie algebras and Jordan algebras . . . . 11--39
Peter Benner and
Heike Faßbender and
David S. Watkins $ S R $ and $ S Z $ algorithms for the
symplectic (butterfly) eigenproblem . . 41--76
Rajendra Bhatia and
Peter \vSemrl Orthogonality of matrices and some
distance problems . . . . . . . . . . . 77--85
Tirthankar Bhattacharyya On finite-dimensional commutative
non-Hermitian fusion algebras . . . . . 87--103
Angelika Bunse-Gerstner and
Ronald Stöver On a conjugate gradient-type method for
solving complex symmetric linear systems 105--123
Heike Faßbender and
D. Steven Mackey and
Niloufer Mackey and
Hongguo Xu Hamiltonian square roots of
skew-Hamiltonian matrices . . . . . . . 125--159
S. Friedland and
R. Loewy Spaces of symmetric matrices containing
a nonzero matrix of bounded rank . . . . 161--170
Alan George and
Khakim D. Ikramov Common invariant subspaces of two
matrices . . . . . . . . . . . . . . . . 171--179
Nicholas J. Higham Stability of block LDL$^T$ factorization
of a symmetric tridiagonal matrix . . . 181--189
Zhongxiao Jia Polynomial characterizations of the
approximate eigenvectors by the refined
Arnoldi method and an implicitly
restarted refined Arnoldi algorithm . . 191--214
Barbara Kolodziejczak and
Tomasz Szulc Convex combinations of matrices --- full
rank characterization . . . . . . . . . 215--222
Wen-Wei Lin and
Chern-Shuh Wang and
Quan-Fu Xu On the computation of the optimal $ {\bf
H}_\infty $ norms for two feedback
control problems . . . . . . . . . . . . 223--255
V. Mehrmann and
D. D. Olesky and
T. X. T. Phan and
P. van den Driessche Relations between Perron--Frobenius
results for matrix pencils . . . . . . . 257--269
Sujit Kumar Mitra Diagrammatic presentation of inner and
outer inverses: $S$-diagrams . . . . . . 271--288
Reinhard Nabben Two-sided bounds on the inverses of
diagonally dominant tridiagonal matrices 289--305
Michael Neumann and
Hans Schneider The convergence of general products of
matrices and the weak ergodicity of
Markov chains . . . . . . . . . . . . . 307--314
Wilhelm Niethammer A note on the extended convergence of
SOR for two-periodic Markov chains . . . 315--322
Mau-Hsiang Shih Simultaneous Schur stability . . . . . . 323--336
P. Smit and
M. H. C. Paardekooper The effects of inexact solvers in
algorithms for symmetric eigenvalue
problems . . . . . . . . . . . . . . . . 337--357
Heinrich Voss Symmetric schemes for computing the
minimum eigenvalue of a symmetric
Toeplitz matrix . . . . . . . . . . . . 359--371
Harald K. Wimmer Canonical angles of unitary spaces and
perturbations of direct complements . . 373--379
W. Glunt and
T. L. Hayden and
Charles R. Johnson and
P. Tarazaga Positive definite completions and
determinant maximization . . . . . . . . 1--10
Moody T. Chu On constructing matrices with prescribed
singular values and diagonal elements 11--22
Daniel B. Shapiro Trace form preservers . . . . . . . . . 23--33
Robert Reams and
Hadamard inverses square roots and products of almost
semidefinite matrices . . . . . . . . . 35--43
Bernard Charles and
Abdelkhalek Faouzi Forme de Jordan des extensions
d'opérateurs linéaires (probl\`eme de
Carlson) et sous-espaces réduisants
minimaux contenant un sous-espace donné
[French: Jordan form of linear operation
extensions (Carlson's problem) and
minimal reducing subspaces containing a
given subspace] . . . . . . . . . . . . 45--51
Geir Dahl Matrix majorization . . . . . . . . . . 53--73
Ji-guang Sun Structured backward errors for KKT
systems . . . . . . . . . . . . . . . . 75--88
Laurent W. Marcoux and
Ahmed R. Sourour Commutativity preserving linear maps and
Lie automorphisms of triangular matrix
algebras . . . . . . . . . . . . . . . . 89--104
Brian M. Allen and
Joachim Rosenthal A matrix Euclidean algorithm induced by
state space realization . . . . . . . . 105--121
Gong-Ning Chen and
Xiao-Qing Li The Nevanlinna--Pick interpolation
problems and power moment problems for
matrix-valued functions . . . . . . . . 123--148
Shaun M. Fallat and
Charles R. Johnson Sub-direct sums and positivity classes
of matrices . . . . . . . . . . . . . . 149--173
Chun-Hua Guo On the numerical solution of a nonlinear
matrix equation in Markov chains . . . . 175--186
Lipin Zhong On the contribution of cardinalities of
row space of Boolean matrices . . . . . 187--198
Boris Lavri\vc S-subinvariant norms . . . . . . . . . . 199--210
James F. Geelen Maximum rank matrix completion . . . . . 211--217
Erhard Cramer Estimation of the mean and the
covariance matrix under a marginal
independence assumption --- an
application of matrix differential
calculus . . . . . . . . . . . . . . . . 219--228
Jian Shen and
David Gregory and
Stewart Neufeld Exponents of indecomposability . . . . . 229--241
S. Cherki Remarque sur l'approximation positive
contractante . . . . . . . . . . . . . . 243--247
Vakhtang Lomadze Applications of vector bundles to
factorization of rational matrices . . . 249--258
Xuerong Yong and
Zheng Wang On a conjecture of Fiedler and Markham 259--267
Caixing Gu Finite rank Hankel operators on the
polydisk . . . . . . . . . . . . . . . . 269--281
S. W. Drury The numerical range of products of
normal matrices . . . . . . . . . . . . 283--292
Werner Balser Computation of formal fundamental
solutions . . . . . . . . . . . . . . . 293--312
S. E. Ahmed and
Bashir Ullah Improved biased estimation in an ANOVA
model . . . . . . . . . . . . . . . . . 3--24
Bernhard F. Arnold and
Peter Stahlecker Minimax adjustment technique and fuzzy
information . . . . . . . . . . . . . . 25--39
Ronald Paul Barry and
R. Kelley Pace Monte Carlo estimates of the log
determinant of large sparse matrices . . 41--54
John S. Chipman Linear restrictions, rank reduction, and
biased estimation in linear regression 55--74
A. W. Davis Spherical functions on the Grassmann
manifold and generalized Jacobi
polynomials --- Part 1 . . . . . . . . . 75--94
A. W. Davis Spherical functions on the Grassmann
manifold and generalized Jacobi
polynomials --- Part 2 . . . . . . . . . 95--119
Richard William Farebrother A class of statistical estimators
related to principal components . . . . 121--126
Jürgen Groß Solution to a rank equation . . . . . . 127--130
Jürgen Gross Explicit solutions to the matrix inverse
problem AX=B . . . . . . . . . . . . . . 131--134
Jürgen Groß Idempotency of the Hermitian part of a
complex matrix . . . . . . . . . . . . . 135--139
Jürgen Groß On the product of orthogonal projectors 141--150
Jürgen Groß A note on the rank-subtractivity
ordering . . . . . . . . . . . . . . . . 151--160
Jürgen Groß and
Jan Hauke and
Augustyn Markiewicz Partial orderings, preorderings, and the
polar decomposition of matrices . . . . 161--168
Jürgen Groß and
Götz Trenkler and
Sven-Oliver Troschke On semi-orthogonality and a special
class of matrices . . . . . . . . . . . 169--182
Ali S. Hadi and
Hans Nyquist Frechet distance as a tool for
diagnosing multivariate data . . . . . . 183--201
David A. Harville Use of the Gibbs sampler to invert
large, possibly sparse, positive
definite matrices . . . . . . . . . . . 203--224
S. R. Jammalamadaka and
D. Sengupta Changes in the general linear model: A
unified approach . . . . . . . . . . . . 225--242
Alexander Kova\vcec The Marcus-de Oliveira conjecture,
bilinear forms, and cones . . . . . . . 243--259
Wim P. Krijnen A note on the parameter set for factor
analysis models . . . . . . . . . . . . 261--266
Shuangzhe Liu Matrix results on the Khatri--Rao and
Tracy--Singh products . . . . . . . . . 267--277
Augustyn Markiewicz Simultaneous polar decomposition of
rectangular complex matrices . . . . . . 279--284
Burkhard Schaffrin Softly unbiased estimation Part 1: The
Gauss--Markov model . . . . . . . . . . 285--296
Yoshio Takane and
Haruo Yanai On oblique projectors . . . . . . . . . 297--310
Jos M. F. ten Berge and
Wim P. Krijnen and
Tom Wansbeek and
Alexander Shapiro Some new results on
correlation-preserving factor scores
prediction methods . . . . . . . . . . . 311--318
P.-C. G. Vassiliou and
M. A. Symeonaki The perturbed nonhomogeneous Markov
system . . . . . . . . . . . . . . . . . 319--332
Song-Gui Wang and
Erkki P. Liski and
Tapio Nummi Two-way selection of covariables in
multivariate growth curve models . . . . 333--342
J. A. Cuenca Mira and
R. De Los Santos Villodres and
A. Kaidi and
A. Rochdi Real quadratic flexible division
algebras . . . . . . . . . . . . . . . . 1--22
Song Xu On local $w$-uniqueness of solutions to
linear complementarity problem . . . . . 23--29
A. Ben-Artzi and
I. Gohberg Singular numbers of contractions in
spaces with an indefinite metric and
Yamamoto's theorem . . . . . . . . . . . 31--48
Su-Mei Hou The relationship between the class $ A_2
(R, S) $ of $ (0, 1, 2)$-matrices and
the collection of constellation matrices 49--59
Marc Van Barel and
Vlastimil Pták and
Zden\vek Vav\vrín Extending the notions of companion and
infinite companion to matrix polynomials 61--94
Demetrio Stojanoff Index of Hadamard multiplication by
positive matrices . . . . . . . . . . . 95--108
Jaspal Singh Aujla A fixed point theorem and a norm
inequality for operator means . . . . . 109--118
Victor M. Adukov Generalized inversion of finite rank
Hankel and Toeplitz operators with
rational matrix symbols . . . . . . . . 119--134
Ming-wei Wang and
Jeffrey Shallit An inequality for non-negative matrices 135--144
P. Rubió and
J. Gelonch The contragredient equivalence:
Application to solve some matrix systems 145--166
Tatjana Petek Mappings preserving spectrum and
commutativity on Hermitian matrices . . 167--191
Charles R. Johnson and
Ronald L. Smith The symmetric inverse $M$-matrix
completion problem . . . . . . . . . . . 193--212
Srinivasa R. Arikati and
Uri N. Peled The realization graph of a degree
sequence with majorization gap 1 is
Hamiltonian . . . . . . . . . . . . . . 213--235
Yoon Song and
M. Seetharama Gowda and
G. Ravindran On some properties of P-matrix sets . . 237--246
Ivan Slapni\vcar and
Kre\vsimir Veselic\' A bound for the condition of a
hyperbolic eigenvector matrix . . . . . 247--255
David London Irreducible matrices with reducible
principal submatrices . . . . . . . . . 257--266
Katarína Cechlárová and
Pavel Diko Resolving infeasibility in extremal
algebras . . . . . . . . . . . . . . . . 267--273
M. A. Fiol Eigenvalue interlacing and weight
parameters of graphs . . . . . . . . . . 275--301
Glenn D. Appleby A simple approach to matrix realizations
for Littlewood--Richardson sequences . . 1--14
Héctor N. Salas Gershgorin's theorem for matrices of
operators . . . . . . . . . . . . . . . 15--36
J. Gelonch The contragredient equivalence for
several matrices: a set of invariants 37--49
Hong You and
Sheng Chen Products of commutators of dilatations 51--61
Alka Marwaha Decomposability and structure of
nonnegative bands in $ M_n(R) $ . . . . 63--82
M. Isabel García-Planas and
M. Dolors Magret An alternative system of structural
invariants of quadruples of matrices . . 83--102
Roger A. Horn and
Xingzhi Zhan Inequalities for $C$-$S$ seminorms and
Lieb functions . . . . . . . . . . . . . 103--113
A. J. Pryde and
R. M. Phatarfod Multiplicities of eigenvalues of some
linear search schemes . . . . . . . . . 115--124
L. J. Ratliff, Jr. and
D. E. Rush Triangular powers of integers from
determinants of binomial coefficient
matrices . . . . . . . . . . . . . . . . 125--142
Jianzhou Liu Some Löwner partial orders of Schur
complements and Kronecker products of
matrices . . . . . . . . . . . . . . . . 143--149
Steve Kirkland Perron vector ordering for a subclass of
tournament matrices . . . . . . . . . . 151--166
J. A. Dias da Silva and
T. J. Laffey On simultaneous similarity of matrices
and related questions . . . . . . . . . 167--184
Weiguo Wang and
Jinxi Zhao Inverse updating and downdating for
weighted linear least squares using
$M$-invariant reflections . . . . . . . 185--199
Thomas H. Pate Extreme rays for cones of Hermitian
matrix functions that are non-negative
on the positive semi-definite matrices 201--225
Chi Song Wong and
Hua Cheng and
Joe Masaro Multivariate versions of Cochran
theorems . . . . . . . . . . . . . . . . 227--234
Olga Holtz Not all GKK $ \tau $-matrices are stable 235--244
Z. Thomova and
P. Winternitz Maximal Abelian subalgebras of $ e(p, q)
$ algebras . . . . . . . . . . . . . . . 245--274
Alberto Seeger Eigenvalue analysis of equilibrium
processes defined by linear
complementarity conditions . . . . . . . 1--14
A. Bernasconi and
B. Codenotti and
V. Crespi and
G. Resta How fast can one compute the permanent
of circulant matrices? . . . . . . . . . 15--37
J. M. Carnicer and
T. N. T. Goodman and
J. M. Peña Linear conditions for positive
determinants . . . . . . . . . . . . . . 39--59
K. R. Nagarajan and
M. Paul Devasahayam and
T. Soundararajan Products of three triangular matrices 61--71
I. Zaballa Feedback invariants of matrix quadruple
completions . . . . . . . . . . . . . . 73--97
Ping-Qi Pan A projective simplex method for linear
programming . . . . . . . . . . . . . . 99--125
Suk-Geun Hwang Majorization via generalized Hessenberg
matrices . . . . . . . . . . . . . . . . 127--138
Jean-Christophe Bourin Some inequalities for norms on matrices
and operators . . . . . . . . . . . . . 139--154
Rong-Qing Jia and
Shurong Zhang Spectral properties of the transition
operator associated to a multivariate
refinement equation . . . . . . . . . . 155--178
Nguyêñ Quôc\' Th\van\'g A remark on pattern problems for matrix
groups . . . . . . . . . . . . . . . . . 179--185
Augusto Ferrante and
Michele Pavon The algebraic Riccati inequality:
parametrization of solutions, tightest
local frames and generalized feedback
matrices . . . . . . . . . . . . . . . . 187--206
M. Niezgoda $ {G}$-majorization inequalities for
linear maps . . . . . . . . . . . . . . 207--231
Charles R. Johnson and
D. D. Olesky and
P. van den Driessche Elementary bidiagonal factorizations . . 233--244
W. Govaerts and
B. Sijnave Matrix manifolds and the Jordan
structure of the bialternate matrix
product . . . . . . . . . . . . . . . . 245--266
David A. Gregory and
Valerie L. Watts and
Bryan L. Shader Biclique decompositions and Hermitian
rank . . . . . . . . . . . . . . . . . . 267--280
Tian-Gang Lei Notes on Cartesian symmetry classes and
generalized trace functions . . . . . . 281--288
Tian-Gang Lei Positive semi-definiteness in a group
algebra . . . . . . . . . . . . . . . . 289--296
E. E. Tyrtyshnikov and
N. L. Zamarashkin Thin structure of eigenvalue clusters
for non-Hermitian Toeplitz matrices . . 297--310
Amélia Fonseca On the equality of families of
decomposable symmetrized tensors . . . . 1--14
Arthur Lim and
Chen-Bo Zhu Multiresolution on compact groups . . . 15--38
Bo-Ying Wang and
Bo-Yan Xi and
Fuzhen Zhang Some inequalities for sum and product of
positive semidefinite matrices . . . . . 39--49
Susana Furtado and
Fernando C. Silva On the characteristic polynomial of
matrices with prescribed rows . . . . . 51--72
O. Neto and
F. C. Silva On the recognition and rigidity problems
for sums of matrices . . . . . . . . . . 73--84
Stefano Serra Capizzano and
Cristina Tablino Possio Spectral and structural analysis of high
precision finite difference matrices for
elliptic operators . . . . . . . . . . . 85--131
Eleni Katirtzoglou The cycle time vector of D--A--D
functions . . . . . . . . . . . . . . . 133--144
Yaokun Wu and
Qiao Li and
Jingjie Li Spectra and elementary cycles of the
digraphs with unique paths of fixed
length . . . . . . . . . . . . . . . . . 145--158
Piroska Lakatos On the Coxeter polynomials of wild stars 159--170
Jacqueline M. van den Hof and
Jan H. van Schuppen Positive matrix factorization via
extremal polyhedral cones . . . . . . . 171--186
Caryl Margulies and
William Margulies Nonlinear resonance set for nonlinear
matrix equations . . . . . . . . . . . . 187--197
Yuri I. Karlovich and
Ilya M. Spitkovsky and
Ronald A. Walker Almost periodic factorization of block
triangular matrix functions revisited 199--232
Jianzhou Liu and
Jian Wang Some inequalities for Schur complements 233--241
E. H. Ayachour Expanded systems and the ILU
preconditioner for solving non-Hermitian
linear systems . . . . . . . . . . . . . 243--256
Hafid Haffaf and
Genevi\`eve Dauphin-Tanguy and
Mustapha Kamel Rahmouni Graphical matroid for causality
assignment in bond graphs . . . . . . . 257--272
Musheng Wei Reverse order laws for generalized
inverses of multiple matrix products . . 273--288
Stephen Pierce Congruence of polynomial matrices . . . 1--8
R. Mubarakzjanov Finiteness of a set of non-collinear
vectors generated by a family of linear
operators . . . . . . . . . . . . . . . 9--33
Hans Volkmer Convexity of the Lyapunov exponent . . . 35--48
Geoffrey L. Price and
Glenn H. Truitt On the ranks of Toeplitz matrices over
finite fields . . . . . . . . . . . . . 49--66
Mao-Ting Chien and
Hiroshi Nakazato Boundary generating curves of the
$c$-numerical range . . . . . . . . . . 67--84
Jeffrey Stuart and
Carolyn Eschenbach and
Steve Kirkland Irreducible sign $k$-potent sign pattern
matrices . . . . . . . . . . . . . . . . 85--92
W. P. M. H. Heemels and
J. M. Schumacher and
S. Weiland The rational complementarity problem . . 93--135
K. Jbilou and
A. Messaoudi Matrix recursive interpolation algorithm
for block linear systems . . . . . . . . 137--154
S. W. Drury Permanents and Lorentzian
time-semidefinite matrices . . . . . . . 155--168
Jos M. F. Ten Berge and
Henk A. L. Kiers Simplicity of core arrays in three-way
principal component analysis and the
typical rank of $ p \times q \times 2 $
arrays . . . . . . . . . . . . . . . . . 169--179
William F. Trench Asymptotic distribution of the spectra
of a class of generalized
Kac--Murdock--Szeg\Ho matrices . . . . . 181--192
M. I. Ostrovskii A short proof of the result on actions
that characterize $ l_{\infty }^n $ . . 193--195
Jeffrey Stuart Reducible sign $k$-potent sign pattern
matrices . . . . . . . . . . . . . . . . 197--211
J. J. Koliha A simple proof of the product theorem
for EP matrices . . . . . . . . . . . . 213--215
Zhi-Hao Cao and
He-Bing Wu and
Zhong-Yun Liu Two-stage iterative methods for
consistent Hermitian positive
semidefinite systems . . . . . . . . . . 217--238
T. Zhang and
G. H. Golub and
K. H. Law Subspace iterative methods for
eigenvalue problems . . . . . . . . . . 239--258
Art M. Duval and
Victor Reiner Perron--Frobenius type results and
discrete versions of nodal domain
theorems . . . . . . . . . . . . . . . . 259--268
A. R. Meenakshi and
C. Rajian On a product of positive semidefinite
matrices . . . . . . . . . . . . . . . . 3--6
Chuanqing Gu Thiele-type and Lagrange-type
generalized inverse rational
interpolation for rectangular complex
matrices . . . . . . . . . . . . . . . . 7--30
Thomas H. Pate Tensor inequalities, $ \xi $-functions,
and inequalities involving immanants . . 31--59
Susana Furtado and
Fernando C. Silva Embedding a regular subpencil into a
general linear pencil . . . . . . . . . 61--72
Xuerong Yong On the distribution of eigenvalues of a
simple undirected graph . . . . . . . . 73--80
M. Bayat and
H. Teimoori The linear algebra of the generalized
Pascal functional matrix . . . . . . . . 81--89
Melody K. Panttaja Classification of path-recursive graphs 91--95
Thomas L. Hayden and
Robert Reams and
James Wells Methods for constructing distance
matrices and the inverse eigenvalue
problem . . . . . . . . . . . . . . . . 97--112
John Holbrook and
Eric Nordgren and
Heydar Radjavi and
Peter Rosenthal On the operator equation $ A X = X A X $ 113--116
Raffaella Pavani Nearly defective complex eigenvalues in
Bessel matrices . . . . . . . . . . . . 117--132
A. Vigneron-Tenorio Semigroup ideals and linear diophantine
equations . . . . . . . . . . . . . . . 133--144
J.-C. Flick-D'Ornano Similarity and matrices of constant rank 145--148
Gordon Blower On analytic factorization of positive
hermitian matrix functions over the
bidisc . . . . . . . . . . . . . . . . . 149--158
Norman W. Johnson and
Asia Ivi\'c Weiss Quaternionic modular groups . . . . . . 159--189
Keisuke Shiromoto A basic exact sequence for the Lee and
Euclidean weights of linear codes over $
Z_l $ . . . . . . . . . . . . . . . . . 191--200
Sergiusz K\keska A variant of the Hausdorff theorem for
multiindex matrices I . . . . . . . . . 201--221
Arne Winterhof Polynomial spaces over finite fields . . 223--229
Geert-Jan Olsder and
Kees Roos and
Robert-Jan van Egmond An efficient algorithm for critical
circuits and finite eigenvectors in the
max-plus algebra . . . . . . . . . . . . 231--240
M. Kuroda On Rosenfeld's problem . . . . . . . . . 241--247
Yaokun Wu and
Qiao Li and
Xuyan Huang On the matrix equation $ A^k = J - I $ 249--260
A. Kawamoto and
K. Takaba and
T. Katayama On the generalized algebraic Riccati
equation for continuous-time descriptor
systems . . . . . . . . . . . . . . . . 1--14
F. K. Bell Characterizing line graphs by star
complements . . . . . . . . . . . . . . 15--25
M. C. de Oliveira and
J. C. Geromel and
Liu Hsu LMI characterization of structural and
robust stability: the discrete-time case 27--38
Delin Chu and
Volker Mehrmann and
Nancy K. Nichols Minimum norm regularization of
descriptor systems by mixed output
feedback . . . . . . . . . . . . . . . . 39--77
Hua Dai An algorithm for symmetric generalized
inverse eigenvalue problems . . . . . . 79--98
Damjana Kokol-Bukov\vsek Matrix semigroup homomorphisms from
dimension two to three . . . . . . . . . 99--112
C. Brezinski Multiparameter descent methods . . . . . 113--141
Karl Gustafson The geometrical meaning of the
Kantorovich-Wielandt inequalities . . . 143--151
Stephen J. Kirkland and
Michael Neumann On group inverses of $M$-matrices with
uniform diagonal entries . . . . . . . . 153--170
Song-Gui Wang and
Wai-Cheung Ip A matrix version of the Wielandt
inequality and its applications to
statistics . . . . . . . . . . . . . . . 171--181
Zoran Raki\'c On duality principle in Osserman
manifolds . . . . . . . . . . . . . . . 183--189
Leonid Knizhnerman Error bounds for the Arnoldi method: a
set of extreme eigenpairs . . . . . . . 191--211
Mirko Dobovi\vsek Unitary solutions of the equation $ c u
+ u^*c = 2 d $ . . . . . . . . . . . . . 213--225
Yuan Hong and
Jin-Long Shu Sharp lower bounds of the least
eigenvalue of planar graphs . . . . . . 227--232
Timothy C. Teitloff Permutation polynomials on symmetric
matrices . . . . . . . . . . . . . . . . 233--243
Jia-Yu Shao On sign inconsistent linear systems . . 245--257
Guangtian Song and
Xuejun Guo Diagonability of idempotent matrices
over noncommutative rings . . . . . . . 1--7
H. Essannouni and
A. Kaidi Le théor\`eme de Hua pour les alg\`ebres
artiniennes simples . . . . . . . . . . 9--22
M. I. García-Planas and
M. D. Magret Stratification of linear systems.
Bifurcation diagrams for families of
linear systems . . . . . . . . . . . . . 23--56
Bryan E. Cain Operators which remain convergent when
multiplied by certain Hermitian
operators . . . . . . . . . . . . . . . 57--61
Devadatta Kulkarni and
Darrell Schmidt and
Sze-Kai Tsui Eigenvalues of tridiagonal
pseudo-Toeplitz matrices . . . . . . . . 63--80
M'hammed Benlarbi Delai Extensions d'opérateurs auto-adjoints et
défaut de réflexivité . . . . . . . . . . . 81--85
D. Steven Mackey and
Niloufer Mackey and
Srdjan Petrovic Is every matrix similar to a Toeplitz
matrix? . . . . . . . . . . . . . . . . 87--105
Peter Nylen Inverse eigenvalue problem: existence of
special mass-damper-spring systems . . . 107--132
Chong Lin and
Jian Liang Wang and
Guang-Hong Yang and
C. B. Soh Robust controllability and robust
closed-loop stability with static output
feedback for a class of uncertain
descriptor systems . . . . . . . . . . . 133--155
Geir Dahl Majorization polytopes . . . . . . . . . 157--175
Yoshimichi Ito and
Satoshi Hattori and
Hajime Maeda On the decomposition of a matrix into
the sum of stable matrices . . . . . . . 177--182
Hideho Ogasawara A note on the equivalence of a class of
factorized Broyden families for
nonlinear least squares problems . . . . 183--191
Debra Lewis and
Mike Shub The distribution of the maximum
condition number on great circles
through a fixed $ 2 \times 2 $ real
matrix . . . . . . . . . . . . . . . . . 193--202
Anonymous Index . . . . . . . . . . . . . . . . . 203
Bolian Liu On exponent of indecomposability for
primitive Boolean matrices . . . . . . . 1--8
P. S. Jackson and
P. Rowlinson On graphs with complete bipartite star
complements . . . . . . . . . . . . . . 9--20
Delin Chu and
D. W. C. Ho Infinite eigenvalue assignment for
singular systems . . . . . . . . . . . . 21--37
Florian Bünger and
Klaus Nielsen A matrix-decomposition theorem for $
\mbox {GL}_n(K) $ . . . . . . . . . . . 39--50
Rosário Fernandes The covering number of elements of a
matroid and associated transformations 51--71
Zhiping Lin On syzygy modules for polynomial
matrices . . . . . . . . . . . . . . . . 73--86
M. R. Alaimia Automorphisms of some Banach algebras of
analytic functions . . . . . . . . . . . 87--97
Avram Sidi A unified approach to Krylov subspace
methods for the Drazin-inverse solution
of singular nonsymmetric linear systems 99--113
M. A. Fiol and
E. Garriga On the algebraic theory of
pseudo-distance-regularity around a set 115--141
Juan-Miguel Gracia and
Inmaculada de Hoyos Nearest pair with more nonconstant
invariant factors and pseudospectrum . . 143--158
S. W. Drury OMC for Householder reflections . . . . 159--169
A. S. Hedayat and
H. Pesotan Column optimal strongly threefold
orthogonal matrices in a class index
eight . . . . . . . . . . . . . . . . . 171--191
Dennis I. Merino and
Vladimir V. Sergeichuk Littlewood's algorithm and quaternion
matrices . . . . . . . . . . . . . . . . 193--208
Anonymous Index . . . . . . . . . . . . . . . . . 209
Gui-Ding Gu and
He-Bing Wu A block EN algorithm for nonsymmetric
linear systems with multiple right-hand
sides . . . . . . . . . . . . . . . . . 1--20
James Demmel and
others Computing the singular value
decomposition with high relative
accuracy . . . . . . . . . . . . . . . . 21--80
Carolyn A. Eschenbach and
Zhongshan Li Potentially nilpotent sign pattern
matrices . . . . . . . . . . . . . . . . 81--99
Michael Karow Self-adjoint operators and pairs of
Hermitian forms over the quaternions . . 101--117
Angelika Bunse-Gerstner and
Ralph Byers and
Volker Mehrmann and
Nancy K. Nichols Feedback design for regularizing
descriptor systems . . . . . . . . . . . 119--151
Roger A. Horn and
Alexey K. Lopatin The moment and Gram matrices, distinct
eigenvalues and zeroes, and rational
criteria for diagonalizability . . . . . 153--163
Wenxue Huang A characterization of
triangularizability of a linear
associative algebra . . . . . . . . . . 165--169
Bryan E. Cain Convergent multiples of convergent
operators . . . . . . . . . . . . . . . 171--173
Onn Chan and
Bee-San Ng Hook Immanantal inequalities for
Hadamard's function . . . . . . . . . . 175--190
Khakim D. Ikramov An algebraic proof of a result by
Gonzaga and Lara . . . . . . . . . . . . 191--194
Boris Lavri\vc A note on $^*$ orthant-monotonic norms 195--200
Anonymous Index . . . . . . . . . . . . . . . . . 201
Richard A. Brualdi From the Editor-in-Chief . . . . . . . . 1--2
Anonymous Index . . . . . . . . . . . . . . . . . 9--20
Anonymous Index . . . . . . . . . . . . . . . . . 33--91
Lajos Molnár Some multiplicative preservers on $ B(H)
$ . . . . . . . . . . . . . . . . . . . 1--13
Francisco E. Velasco Stable subspaces of matrix pairs . . . . 15--49
Ismail M. Idris On transformations of elliptic spaces 51--62
Jim Brewer and
Wiland Schmale $ (A, B) $-cyclic submodules . . . . . . 63--80
Drago\vs Cvetkovi\'c and
Peter Rowlinson and
Slobodan K. Simi\'c Some characterizations of graphs by star
complements . . . . . . . . . . . . . . 81--97
Bojana Zalar Linear operators preserving the
sign-real spectral radius . . . . . . . 99--112
P. Coulton and
H. Gauchman Invariant subspaces of two Hermitian
structures on a Euclidean space . . . . 113--119
Kurt Anstreicher and
Xin Chen and
Henry Wolkowicz and
Ya-Xiang Yuan Strong duality for a trust-region type
relaxation of the quadratic assignment
problem . . . . . . . . . . . . . . . . 121--136
Dragan Stevanovi\'c When is NEPS of graphs connected? . . . 137--144
A. Melman A symmetric algorithm for Toeplitz
systems . . . . . . . . . . . . . . . . 145--152
Erik Christensen On invertibility preserving linear
mappings, simultaneous triangularization
and Property $L$ . . . . . . . . . . . . 153--170
Ninoslav Truhar and
Ivan Slapni\vcar Relative perturbation bound for
invariant subspaces of graded indefinite
Hermitian matrices . . . . . . . . . . . 171--185
V. Bolotnikov and
L. Rodman Normal forms and joint numerical ranges
of doubly commuting matrices . . . . . . 187--194
S. Gaubert and
P. Butkovic Sign-non-singular matrices and matrices
with unbalanced determinant in
symmetrised semirings . . . . . . . . . 195--201
Anonymous Index . . . . . . . . . . . . . . . . . 203
Richard A. Brualdi Preface . . . . . . . . . . . . . . . . 1--2
Richard A. Brualdi A tribute to Hans Schneider . . . . . . 3--16
Ludwig Elsner and
P. van den Driessche On the power method in max algebra . . . 17--32
John Todd and
Richard S. Varga Hardy's inequality and ultrametric
matrices . . . . . . . . . . . . . . . . 33--43
M. Isabel García-Planas and
Vladimir V. Sergeichuk Simplest miniversal deformations of
matrices, matrix pencils, and
contragredient matrix pencils . . . . . 45--61
Sheung Hun Cheng and
Nicholas J. Higham The nearest definite pair for the
Hermitian generalized eigenvalue problem 63--76
Cornelis V. M. van der Mee and
André C. M. Ran and
Leiba Rodman Stability of self-adjoint square roots
and polar decompositions in indefinite
scalar product spaces . . . . . . . . . 77--104
Leonid Lerer and
Leiba Rodman Bezoutians of rational matrix functions,
matrix equations and factorizations . . 105--133
Ming-Tzu Ho and
Aniruddha Datta and
S. P. Bhattacharyya Generalizations of the Hermite-Biehler
theorem . . . . . . . . . . . . . . . . 135--153
William F. Trench Asymptotic distribution of the even and
odd spectra of real symmetric Toeplitz
matrices . . . . . . . . . . . . . . . . 155--162
Bo-Ying Wang and
Xiuping Zhang and
Fuzhen Zhang Some inequalities on generalized Schur
complements . . . . . . . . . . . . . . 163--172
Daniel Hershkowitz The combinatorial structure of
generalized eigenspaces --- from
nonnegative matrices to general matrices 173--191
Bit-Shun Tam and
Shangjun Yang On matrices whose numerical ranges have
circular or weak circular symmetry . . . 193--221
R. B. Bapat Linear estimation in models based on a
graph . . . . . . . . . . . . . . . . . 223--230
Rajendra Bhatia and
Kalyan B. Sinha Derivations, derivatives and chain rules 231--244
Rafael Cantó and
Ana M. Urbano On the Segre characteristic of a block
triangular matrix . . . . . . . . . . . 245--263
Tibor Boros and
Thomas Kailath and
Vadim Olshevsky A fast parallel Björck--Pereyra-type
algorithm for solving Cauchy linear
equations . . . . . . . . . . . . . . . 265--293
Thomas J. Laffey and
Eleanor Meehan A characterization of trace zero
nonnegative $ 5 \times 5 $ matrices . . 295--302
Boris G. Zaslavsky and
Bit-Shun Tam On the Jordan form of an irreducible
matrix with eventually nonnegative
powers . . . . . . . . . . . . . . . . . 303--330
D. Calvetti and
B. Lewis and
L. Reichel On the selection of poles in the
single-input pole placement problem . . 331--345
E. Boman and
I. Koltracht Computing preconditioners via subspace
projection . . . . . . . . . . . . . . . 347--353
Joan-Josep Climent and
Carmen Perea Comparison theorems for weak splittings
in respect to a proper cone of
nonsingular matrices . . . . . . . . . . 355--366
Allen C. Robinson and
Donald W. Robinson A best approximation evaluation of a
finite element calculation . . . . . . . 367--375
Bit-Shun Tam On matrices with cyclic structure . . . 377--410
Roger A. Horn and
Dennis I. Merino The Jordan Canonical Forms of complex
orthogonal and skew-symmetric matrices 411--421
András Farkas and
Pál Rózsa and
Etelka Stubnya Transitive matrices and their
applications . . . . . . . . . . . . . . 423--433
Arkadi Nemirovski and
Uriel Rothblum On complexity of matrix scaling . . . . 435--460
Wasin So Linear operators preserving the minimal
rank . . . . . . . . . . . . . . . . . . 461--468
Wen-Wei Lin and
Volker Mehrmann and
Hongguo Xu Canonical forms for Hamiltonian and
symplectic matrices and pencils . . . . 469--533
Wayne Barrett and
H. Tracy Hall and
Raphael Loewy A nonpolyhedral cone of class function
inequalities for positive semidefinite
matrices . . . . . . . . . . . . . . . . 535--553
Louis Solomon Similarity of the companion matrix and
its transpose . . . . . . . . . . . . . 555--561
Biswa Nath Datta Stability and inertia . . . . . . . . . 563--600
Guershon Harel Students' understanding of proofs: a
historical analysis and implications for
the teaching of geometry and linear
algebra . . . . . . . . . . . . . . . . 601--613
Anonymous Index . . . . . . . . . . . . . . . . . 619--620
Ingrid Daubechies and
Jeffrey C. Lagarias Corrigendum/addendum to: Sets of
matrices all infinite products of which
converge . . . . . . . . . . . . . . . . 69--83
Gasper Jaklic and
Jolanda Modic A note on ``Methods for constructing
distance matrices and the inverse
eigenvalue problem'' . . . . . . . . . . 2781--2792