Last update:
Thu Aug 1 11:55:17 MDT 2019
Chi-Kwong Li and
Nam-Kiu Tsing and
Frank Uhlig Numerical ranges of an operator on an
indefinite inner product space . . . . . 1--17
Vaidyanath Mani and
Robert E. Hartwig Some properties of the $q$-adic
Vandermonde matrix . . . . . . . . . . . 18--33
Gerd H. Fricke and
Stephen T. Hedetniemi and
David P. Jacobs and
Vilmar Trevisan Reducing the adjacency matrix of a tree 34--43
Rafael Bru and
Carmen Coll and
Josep Gelonch Periodic coprime matrix fraction
decompositions . . . . . . . . . . . . . 44--58
Charles R. Johnson and
Brenda K. Kroschel The combinatorially symmetric $P$-matrix
completion problem . . . . . . . . . . . 59--63
Pauline van den Driessche and
Harald K. Wimmer Explicit polar decomposition of
companion matrices . . . . . . . . . . . 64--69
Wolf-Jurgen Beyn and
Ludwig Elsner Infinite products and paracontracting
matrices . . . . . . . . . . . . . . . . 1--8
Abraham Berman and
Mark Krupnik Spectrum preserving lower triangular
completions --- the nonnegative
nilpotent case . . . . . . . . . . . . . 9--16
The Editors Dedication . . . . . . . . . . . . . . . 1--1
Daniel Hershkowitz and
Richard A. Brualdi Preface . . . . . . . . . . . . . . . . 2--3
Roger A. Horn and
Fuad Kittaneh Two applications of a bound on the
Hadamard product with a Cauchy matrix 4--12
K.-H. H. Förster and
B. Nagy On nonnegative operators and fully
cyclic peripheral spectrum . . . . . . . 13--22
Miroslav Fiedler Ultrametric sets in Euclidean point
spaces . . . . . . . . . . . . . . . . . 23--30
Chi-Kwong Li and
Leiba Rodman Shapes and computer generation of
numerical ranges of Krein space
operators . . . . . . . . . . . . . . . 31--47
Shaun Fallat and
Steve Kirkland Extremizing algebraic connectivity
subject to graph theoretic constraints 48--74
Frank Uhlig Partial convergence and sign convergence
of matrix powers via eigen $c$-ads . . . 75--92
Mao-Ting Chien and
Michael Neumann Positive definiteness of tridiagonal
matrices via the numerical range . . . . 93--102
Cristina Jordán and
Juan R. Torregrosa and
Ana M. Urbano On the Rodman--Shalom conjecture
regarding the Jordan form of completions
of partial upper triangular matrices . . 103--118
Thomas J. Laffey and
Eleanor Meehan A refinement of an inequality of
Johnson, Loewy and London on nonnegative
matrices and some applications . . . . . 119--128
Jeffrey L. Stuart A polynomial time spectral decomposition
test for certain classes of inverse
$M$-matrices . . . . . . . . . . . . . . 129--141
Raphael Loewy and
Nizar Radwan On spaces of matrices with a bounded
number of eigenvalues . . . . . . . . . 142--152
Gwang-Yeon Lee and
Bryan L. Shader Sign-consistency and solvability of
constrained linear systems . . . . . . . 1--18
Susana Furtado and
Fernando C. Silva On the characteristic polynomial of
matrices with prescribed columns and the
stabilization and observability of
linear systems . . . . . . . . . . . . . 19--31
Judith J. McDonald and
Dale Dale Olesky and
Hans Schneider and
Michael J. Tsatsomeros and
Pauline van den Driessche $Z$-Pencils . . . . . . . . . . . . . . 32--38
Daniel Hershkowitz and
Nira Mashal $ P^\alpha $-matrices and Lyapunov
scalar stability . . . . . . . . . . . . 39--47
Michael G. Neubauer and
William Watkins and
Joel Zeitlin $D$-optimal weighing designs for four
and five objects . . . . . . . . . . . . 48--73
Tin-Yau Tam An extension of a result of Lewis . . . 1--10
LeRoy B. Beasley Spaces of rank-$2$ matrices over $ {\rm
GF}(2)$ . . . . . . . . . . . . . . . . 11--18
Gi-Sang Cheon and
Charles R. Johnson and
Sang-Gu Lee and
Ethan J. Pribble The possible numbers of zeros in an
orthogonal matrix . . . . . . . . . . . 19--23
Joan-Josep Josep Climent and
Carmen Perea Comparison theorems for weak nonnegative
splittings of $K$-monotone matrices . . 24--38
David A. Gregory and
Stephen J. Kirkland Singular values of tournament matrices 39--52
Peter Lancaster Strongly stable gyroscopic systems . . . 53--66
Volker Mehrmann and
Hongguo Xu Structured Jordan canonical forms for
structured matrices that are Hermitian,
skew Hermitian or unitary with respect
to indefinite inner products . . . . . . 67--103
Albrecht Böttcher and
Sergei M. Grudsky Toeplitz band matrices with
exponentially growing condition numbers 104--125
Daniel Hershkowitz Preface . . . . . . . . . . . . . . . . 1--1
Shmuel Friedland and
Hans Schneider Spectra of expansion graphs . . . . . . 2--10
Ilan Bar-On Checking nonsingularity of tridiagonal
matrices . . . . . . . . . . . . . . . . 11--19
Panayiotis Psarrakos and
Michael J. Tsatsomeros On the relation between the numerical
range and the joint numerical range of
matrix polynomials . . . . . . . . . . . 20--30
Daniel Alpay and
Vladimir Bolotnikov On two-sided interpolation for upper
triangular matrices . . . . . . . . . . 31--55
Bertram Mond and
Josip E. Pecaric On inequalities involving the Hadamard
product of matrices . . . . . . . . . . 56--61
Jason J. Molitierno and
Michael Neumann and
Bryan L. Shader Tight bounds on the algebraic
connectivity of a balanced binary tree 62--71
Avramand Sidi and
Vladimir Kluzner A Bi-CG type iterative method for
Drazin-inverse solution of singular
inconsistent nonsymmetric linear systems
of arbitrary index . . . . . . . . . . . 72--94
Shaun M. Fallat and
Charles R. Johnson and
Ronald L. Smith The general totally positive matrix
completion problem with few unspecified
entries . . . . . . . . . . . . . . . . 1--20
Gustavo Corach and
Alejandra Maestripieri and
Demetrio Stojanoff Polar decomposition under perturbations
of the scalar product . . . . . . . . . 21--29
Stephen J. Kirkland and
Dale D. Olesky and
Pauline van den Driessche Digraphs with large exponent . . . . . . 30--40
Oren Kolman Almost disjoint families: an application
to linear algebra . . . . . . . . . . . 41--52
Reinhard Nabben A class of inverse $M$-matrices . . . . 53--58
Valeriy Fayziev On the group $ {\rm GL}(2, R[x]) $ . . . 59--72
Natália Bebiano and
Chi-Kwong Li and
João da Providência Generalized numerical ranges of
permanental compounds arising from
quantum systems of bosons . . . . . . . 73--91
Shaun M. Fallat and
Pauline van den Driessche On matrices with all minors negative . . 92--99
Nir Cohen and
Stefano De Leo The quaternionic determinant . . . . . . 100--111
Christian Mehl and
Volker Mehrmann and
Hongguo Xu Canonical forms for doubly structured
matrices and pencils . . . . . . . . . . 112--151
Delin Chu and
Volker Mehrmann Disturbance decoupling for descriptor
systems by measurement feedback . . . . 152--173
B. Sury An elementary proof of the
Hilbert--Mumford criterion . . . . . . . 174--177
Olga Holtz On convergence of infinite matrix
products . . . . . . . . . . . . . . . . 178--181
John Maroulas and
Panayiotis J. Psarrakos and
Michael J. Tsatsomeros Separable characteristic polynomials of
pencils and property $L$ . . . . . . . . 182--190
Jason J. Molitierno and
Michael Neumann The algebraic connectivity of two trees
connected by an edge of infinite weight 1--13
Zhaosheng Feng Algebraic curve solution for
second-order polynomial autonomous
systems . . . . . . . . . . . . . . . . 14--25
Vladimir Bolotnikov and
Chi-Kwong Li and
Leiba Rodman Minimal distortion problems for classes
of unitary matrices . . . . . . . . . . 26--46
Henryk A. Jedrzejec and
Zbigniew I. Wo\'znicki On properties of some matrix splittings 47--52
Zbigniew I. Wo\'znicki Basic comparison theorems for weak and
weaker matrix splittings . . . . . . . . 53--59
Dragomir \vZ. \Dbarokovi\'c and
Peter W. Tingley Natural group actions on tensor products
of three real vector spaces with
finitely many orbits . . . . . . . . . . 60--82
Yimin Wei and
Hebing Wu Additional results on index splittings
for Drazin inverse solutions of singular
linear systems . . . . . . . . . . . . . 83--93
Stephen J. Kirkland An upper bound on algebraic connectivity
of graphs with many cutpoints . . . . . 94--109
Cindy Knudsen and
Judith J. McDonald A note on the convexity of the
realizable set of eigenvalues for
nonnegative symmetric matrices . . . . . 110--114
Yongge Tian and
George P. H. Styan How to establish universal block-matrix
factorizations . . . . . . . . . . . . . 115--127
Sukanta Pati The third smallest eigenvalue of the
Laplacian matrix . . . . . . . . . . . . 128--139
Naomi Shaked-Monderer Minimal CP rank . . . . . . . . . . . . 140--157
Ji Young Choi and
Luz Maria DeAlba and
Leslie Hogben and
Mandi S. Maxwell and
Amy Wangsness The $ P_0 $-matrix completion problem 1--20
Christopher J. Hillar and
Charles R. Johnson and
Ilya M. Spitkovsky Positive eigenvalues and two-letter
generalized words . . . . . . . . . . . 21--26
Charles R. Johnson and
Carlos M. Saiago Estimation of the maximum multiplicity
of an eigenvalue in terms of the vertex
degrees of the graph of a matrix . . . . 27--31
Panayiotis J. Psarrakos On the $m$-th roots of a complex matrix 32--41
Michael Soltys Berkowitz's algorithm and clow sequences 42--54
Xiezhang Li and
Fangjun Arroyo The convergence rate of the Chebyshev
semiiterative method under a
perturbation of the foci of an elliptic
domain . . . . . . . . . . . . . . . . . 55--66
Vladimir Bolotnikov and
Chi-Kwong Li and
Patrick R. Meade and
Christian Mehl and
Leiba Rodman Shells of matrices in indefinite inner
product spaces . . . . . . . . . . . . . 67--92
André C. M. Ran and
Martine C. B. Reurings The symmetric linear matrix equation . . 93--107
Akio Arimoto A simple proof of the classification of
normal Toeplitz matrices . . . . . . . . 108--111
Siegfried M. Rump Variational characterizations of the
sign-real and the sign-complex spectral
radius . . . . . . . . . . . . . . . . . 112--117
Richard A. Brualdi Maximal nests of subspaces, the matrix
Bruhat decomposition, and the marriage
theorem --- with an application to graph
coloring . . . . . . . . . . . . . . . . 118--121
Robert Reams and
Shayne Waldron Isometric tight frames . . . . . . . . . 122--128
N. Castro González and
J. J. Koliha and
Yimin Wei Integral representation of the Drazin
inverse . . . . . . . . . . . . . . . . 129--131
Dragomir \vZ. \Dbarokovi\'c Proof of Atiyah's conjecture for two
special types of configurations . . . . 132--137
Assaf Goldberger and
Michael Neumann On a strong form of a conjecture of
Boyle and Handelman . . . . . . . . . . 138--149
Adi Ben-Israel The Moore of the Moore--Penrose inverse 150--157
Karl Heinz Förster and
Bela Nagy On spectra of expansion graphs and
matrix polynomials, II . . . . . . . . . 158--170
Berrabah Bendoukha Deux mod\`eles pour les opérateurs de
contraction. (French) [Two models for
contraction operators] . . . . . . . . . 171--189
Shaun M. Fallat and
Michael J. Tsatsomeros On the Cayley transform of positivity
classes of matrices . . . . . . . . . . 190--196
Ronen Peretz Iterations of concave maps, the
Perron--Frobenius theory, and
applications to circle packings . . . . 197--254
Sarah Carnochan Naqvi and
Judith J. McDonald The combinatorial structure of
eventually nonnegative matrices . . . . 255--269
Robert Reams Constructions of trace zero symmetric
stochastic matrices for the inverse
eigenvalue problem . . . . . . . . . . . 270--275
Chong-Guang Cao and
Xian Zhang and
Zhong-Peng Yang Some inequalities for the Khatri--Rao
product of matrices . . . . . . . . . . 276--281
Aihua Li and
Duane Randall Non-trivial solutions to certain matrix
equations . . . . . . . . . . . . . . . 282--289
Stephen J. Kirkland Conditioning properties of the
stationary distribution for a Markov
chain . . . . . . . . . . . . . . . . . 1--15
Ravindra B. Bapat and
Bing Zheng Generalized inverses of bordered
matrices . . . . . . . . . . . . . . . . 16--30
Tedja Santanoe Oepomo A contribution to Collatz's eigenvalue
inclusion theorem for nonnegative
irreducible matrices . . . . . . . . . . 31--45
Ji Young Choi and
Luz Maria DeAlba and
Leslie Hogben and
Benard M. Kivunge and
Sandra K. Nordstrom and
Mike Shedenhelm The nonnegative $ P_0 $-matrix
completion problem . . . . . . . . . . . 46--59
Hari Bercovici Spectral versus classical
Nevanlinna--Pick interpolation in
dimension two . . . . . . . . . . . . . 60--64
Zewen Zhu and
Daniel C. Coster and
Leroy B. Beasley Properties of a covariance matrix with
an application to $D$-optimal design . . 65--76
Geir Dahl A note on linear discrepancy . . . . . . 77--80
Daniel Hershkowitz and
Hans Schneider One-sided simultaneous inequalities and
sandwich theorems for diagonal
similarity and diagonal equivalence of
nonnegative matrices . . . . . . . . . . 81--101
Walter D. Morris, Jr. Recognition of hidden positive row
diagonally dominant matrices . . . . . . 102--105
D. Steven Mackey and
Niloufer Mackey and
Françoise Tisseur Structured tools for structured matrices 106--145
Masaya Matsuura A generalization of Moore--Penrose
biorthogonal systems . . . . . . . . . . 146--154
C. M. da Fonseca The path polynomial of a complete graph 155--162
Michael Neumann and
Nic Ormes Bounds for graph expansions via
elasticity . . . . . . . . . . . . . . . 163--178
Jan Snellman The maximal spectral radius of a digraph
with $ (m + 1)^2 - s $ edges . . . . . . 179--189
Charles R. Johnson and
Yonatan Harel and
Christopher J. Hillar and
Jonathan M. Groves and
Patrick X. Rault Absolutely flat idempotents . . . . . . 190--200
Jean-Daniel Daniel Rolle Optimal subspaces and constrained
principal component analysis . . . . . . 201--211
Felix Goldberg and
Gregory Shapiro The Merris index of a graph . . . . . . 212--222
Michael Marks and
Rick Norwood and
George Poole The maximum number of $ 2 \times 2 $ odd
submatrices in $ (0, 1) $-matrices . . . 223--231
Randall J. Elzinga Strongly regular graphs: values of $
\lambda $ and $ \mu $ for which there
are only finitely many feasible $ (v, k,
\lambda, \mu) $ . . . . . . . . . . . . 232--239
Gilbert J. Groenewald and
Mark A. Petersen $J$-spectral factorization for rational
matrix functions with alternative
realization . . . . . . . . . . . . . . 240--256
Luz Maria DeAlba and
Timothy L. Hardy and
Leslie Hogben and
Amy Wangsness The (weakly) sign symmetric $P$-matrix
completion problems . . . . . . . . . . 257--271
K. A. M. Sayyed and
M. S. Metwally and
Raed S. Batahan On generalized Hermite matrix
polynomials . . . . . . . . . . . . . . 272--279
S. W. Drury and
J. K. Merikoski and
V. Laakso and
T. Tossavainen On nonnegative matrices with given row
and column sums . . . . . . . . . . . . 280--290
Robert M. Guralnick and
Chi-Kwong Li and
Leiba X. Rodman Multiplicative maps on invertible
matrices that preserve matricial
properties . . . . . . . . . . . . . . . 291--319
Dragomir \vZ. \Dbarokovi\'c and
F. Szechtman and
K. Zhao An algorithm that carries a square
matrix into its transpose by an
involutory congruence transformation . . 320--340
James L. Rovnyak and
Lev A. Sakhnovich On the Kre\u\in--Langer integral
representation of generalized Nevanlinna
functions . . . . . . . . . . . . . . . 1--15
B. David Saunders and
Arne Storjohann and
Gilles Villard Matrix rank certification . . . . . . . 16--23
Thomas Garrity and
Zachary Grossman On relations of invariants for
vector-valued forms . . . . . . . . . . 24--40
Francesco Barioli and
Shaun M. Fallat On two conjectures regarding an inverse
eigenvalue problem for acyclic symmetric
matrices . . . . . . . . . . . . . . . . 41--50
Jeffrey S. Ovall An analysis of GCD and LCM matrices via
the $ L D L^T $-factorization . . . . . 51--58
Takao Fujimoto and
Ravindra R. Ranade Two characterizations of
inverse-positive matrices: the
Hawkins--Simon condition and the Le
Chatelier--Braun principle . . . . . . . 59--65
Tian-Gang Lei and
Ching-Wah Woo and
Fuzhen Zhang Matrix inequalities by means of
embedding . . . . . . . . . . . . . . . 66--77
E. N. Antoniou and
S. Vologiannidis A new family of companion forms of
polynomial matrices . . . . . . . . . . 78--87
Rafael Bru and
Carmen Coll and
Sergio Romero and
Elena Sánchez Reachability indices of positive linear
systems . . . . . . . . . . . . . . . . 88--102
Eric S. Key and
Hans Volkmer Eigenvalue multiplicities of products of
companion matrices . . . . . . . . . . . 103--114
Thomas Britz and
Dale D. Olesky and
Pauline van den Driessche Matrix inversion and digraphs: the one
factor case . . . . . . . . . . . . . . 115--131
Philip I. Davies Structured conditioning of matrix
functions . . . . . . . . . . . . . . . 132--161
Igor V. Erovenko $ {\rm SL}_n(F[x]) $ is not boundedly
generated by elementary matrices:
explicit proof . . . . . . . . . . . . . 162--167
Stephen J. Kirkland A combinatorial approach to the
conditioning of a single entry in the
stationary distribution for a Markov
chain . . . . . . . . . . . . . . . . . 168--179
S. W. Drury The external vertices conjecture in case
$ n = 4 $ . . . . . . . . . . . . . . . 180--191
Christian Mehl and
André C. M. Ran and
Leiba Rodman Hyponormal matrices and semidefinite
invariant subspaces in indefinite inner
products . . . . . . . . . . . . . . . . 192--204
Chongguang Cao and
Xiaomin Tang Determinant preserving transformations
on symmetric matrix spaces . . . . . . . 205--211
Chi-Kwong Li and
Thomas Milligan and
Bryan L. Shader Non-existence of $ 5 \times 5 $ full ray
nonsingular matrices . . . . . . . . . . 212--240
Don Coppersmith and
Zvi Lotker On Cayley's formula for counting trees
in nested interval graphs . . . . . . . 241--245
Vladimir Monov and
Michael Tsatsomeros On reducing and deflating subspaces of
matrices . . . . . . . . . . . . . . . . 246--257
Wayne Barrett and
Hein van der Holst and
Raphael Loewy Graphs whose minimal rank is two . . . . 258--280
Allan Pinkus Interpolation by matrices . . . . . . . 281--291
Abraham Berman and
Thomas J. Laffey Preface [2004 Workshop on Nonnegative
Matrices] . . . . . . . . . . . . . . . 1--1
Naomi Shaked-Monderer A note on the CP-rank of matrices
generated by Soules matrices . . . . . . 2--5
Richard A. Brualdi and
Suk-Geun Hwang A Bruhat order for the class of $ (0, 1)
$-matrices with row sum vector $R$ and
column sum vector $S$ . . . . . . . . . 6--16
Shmuel Friedland and
Daniel Hershkowitz and
Siegfried M. Rump Positive entries of stable matrices . . 17--24
Stephen J. Kirkland Girth and subdominant eigenvalues for
stochastic matrices . . . . . . . . . . 25--41
Oliver Mason and
Robert Shorten The geometry of convex cones associated
with the Lyapunov inequality and the
common Lyapunov function problem . . . . 42--63
Du\vsan M. Stipanovi\'c and
Sriram Shankaran and
Claire J. Tomlin Multi-agent avoidance control using an
$M$-matrix property . . . . . . . . . . 64--72
Thomas J. Laffey Perturbing non-real eigenvalues of
nonnegative real matrices . . . . . . . 73--76
Hasan Alnajjar and
Brian Curtin A family of tridiagonal pairs related to
the quantum affine algebra $
U_q(\widehat {{\rm sl}_2}) $ . . . . . . 1--9
D. Steven Mackey and
Niloufer Mackey and
Daniel M. Dunlavy Structure preserving algorithms for
perplectic eigenproblems . . . . . . . . 10--39
Wen-Long Jin A method for computing quadratic
Brunovsky forms . . . . . . . . . . . . 40--55
Robert E. Hartwig and
John Maroulas Focal power . . . . . . . . . . . . . . 56--71
Winfried K. Grassmann and
Javad Tavakoli Two-station queueing networks with
moving servers, blocking, and customer
loss . . . . . . . . . . . . . . . . . . 72--89
Daniel Hershkowitz and
Nathan Keller Spectral properties of sign symmetric
matrices . . . . . . . . . . . . . . . . 90--110
Sivaramakrishnan Sivasubramanian Approximating the isoperimetric number
of strongly regular graphs . . . . . . . 111--121
Michael Gil Norm estimates for functions of two
commuting matrices . . . . . . . . . . . 122--130
Michael Neumann and
Jianhong Xu A parallel algorithm for computing the
group inverse via Perron complementation 131--145
José Luis Cisneros-Molina An invariant of $ 2 \times 2 $ matrices 146--152
Roger A. Horn and
Vladimir V. Sergeichuk and
Naomi Shaked-Monderer Solution of linear matrix equations in a
*-congruence class . . . . . . . . . . . 153--156
C. M. da Fonseca On a conjecture regarding characteristic
polynomial of a matrix pair . . . . . . 157--161
Rafael Bru and
Francisco Pedroche and
Daniel B. Szyld Subdirect sums of nonsingular
$M$-matrices and of their inverses . . . 162--174
Abraham Berman and
Karl Heinz Förster Algebraic connectivity of trees with a
pendant edge of infinite weight . . . . 175--186
Leiba X. Rodman and
Ilya M. Spitkovsky Analytic roots of invertible matrix
functions . . . . . . . . . . . . . . . 187--196
Fernando Szechtman Structure of the group preserving a
bilinear form . . . . . . . . . . . . . 197--239
Michael S. Cavers and
In-Jae Jae Kim and
Bryan L. Shader and
Kevin N. Vander Meulen On determining minimal spectrally
arbitrary patterns . . . . . . . . . . . 240--248
Yongge Tian Special forms of generalized inverses of
row block matrices . . . . . . . . . . . 249--261
Peter Butkovi\'c and
Hans Schneider Applications of max algebra to diagonal
scaling of matrices . . . . . . . . . . 262--273
Yongho Han Commuting triples of matrices . . . . . 274--343
Türker Bìyìko\uglu and
Josef Leydold and
Peter F. Stadler Nodal domain theorems and bipartite
subgraphs . . . . . . . . . . . . . . . 344--351
Shi-Ming Yang and
Ting-Zhu Huang A note on estimates for the spectral
radius of a nonnegative matrix . . . . . 352--358
Peter Kunkel and
Volker Mehrmann Characterization of classes of singular
linear differential-algebraic equations 359--386
Francesco Barioli and
Shaun Fallat and
Leslie Hogben A variant on the graph parameters of
Colin de Verdi\`ere: implications to the
minimum rank of graphs . . . . . . . . . 387--404
Yongge Tian and
Yoshio Takane Schur complements and
Banachiewicz--Schur forms . . . . . . . 405--418
Stephen J. Kirkland and
Bryan L. Shader and
Pauline van den Driessche Preface [Directions in Combinatorial
Matrix Theory Workshop] . . . . . . . . 1--1
Thomas Britz and
Dale D. Olesky and
Pauline van den Driessche Schur complements of matrices with
acyclic bipartite graphs . . . . . . . . 2--11
Leslie Hogben Spectral graph theory and the inverse
eigenvalue problem of a graph . . . . . 12--31
Wayne Barrett and
Hein van der Holst and
Raphael Loewy Graphs whose minimal rank is two: The
finite fields case . . . . . . . . . . . 32--42
Charles R. Johnson and
Maria da Graça Marques Patterns of commutativity: the commutant
of the full pattern . . . . . . . . . . 43--50
Miroslav Fiedler Matrices and graphs in Euclidean
geometry . . . . . . . . . . . . . . . . 51--58
Eduardo Marques de Sá Some subpolytopes of the Birkhoff
polytope . . . . . . . . . . . . . . . . 1--7
Zhi-Gang Ren and
Ting-Zhu Huang and
Xiao-Yu Cheng A note on generalized Perron complements
of $Z$-matrices . . . . . . . . . . . . 8--13
Wenchang Chu The Cauchy double alternant and divided
differences . . . . . . . . . . . . . . 14--21
Leiba Rodman Bounded and stably bounded palindromic
difference equations of first order . . 22--49
Christian Mehl On classification of normal matrices in
indefinite inner product spaces . . . . 50--83
Christian Mehl Essential decomposition of polynomially
normal matrices in real indefinite inner
product spaces . . . . . . . . . . . . . 84--106
Efstathios N. Antoniou and
Stavros Vologiannidis Linearizations of polynomial matrices
with symmetries and their applications 107--114
Said Kouachi Eigenvalues and eigenvectors of
tridiagonal matrices . . . . . . . . . . 115--133
Mouhamad Al Sayed Ali and
Miloud Sadkane On a Lyapunov type equation related to
parabolic spectral dichotomy . . . . . . 134--142
Michael Karow Eigenvalue condition numbers and a
formula of Burke, Lewis and Overton . . 143--153
Ilya M. Spitkovsky On polynomials in two projections . . . 154--158
Françoise Tisseur and
Stef Graillat Structured condition numbers and
backward errors in scalar product spaces 159--177
R. Ben Taher and
M. Mouline and
Mustapha Rachidi Fibonacci--Horner decomposition of the
matrix exponential and the fundamental
system of solutions . . . . . . . . . . 178--190
Marek Niezgoda Upper bounds on certain functionals
defined on groups of linear operators 191--200
Rafael Bru and
Francisco Pedroche and
Daniel B. Szyld Subdirect sums of $S$-strictly
diagonally dominant matrices . . . . . . 201--209
Guoli Ding and
Andre\u\i Kotlov On minimal rank over finite fields . . . 210--214
Ting-Zhu Huang and
Wei Zhang and
Shu-Qian Shen Regions containing eigenvalues of a
matrix . . . . . . . . . . . . . . . . . 215--224
Semitransitivity Working Group at LAW'05, Bled [Slovenia] Semitransitive subspaces of matrices . . 225--238
Maria Adam and
Michael J. Tsatsomeros An eigenvalue inequality and spectrum
localization for complex matrices . . . 239--250
Albrecht Böttcher Schatten norms of Toeplitz matrices with
Fisher--Hartwig singularities . . . . . 251--259
Ahmad M. Hasani and
Mehdi Radjabalipour The structure of linear operators
strongly preserving majorizations of
matrices . . . . . . . . . . . . . . . . 260--268
Wei Zhang and
Zheng-zhi Han Bounds for the spectral radius of block
$H$-matrices . . . . . . . . . . . . . . 269--273
Karl Heinz Förster and
Bela Nagy Irreducible Toeplitz and Hankel matrices 274--284
Stephen W. Drury Essentially Hermitian matrices revisited 285--296
Stefano De Leo and
Gisele Ducati and
Vinicius Leonardi Zeros of unilateral quaternionic
polynomials . . . . . . . . . . . . . . 297--313
Michael Neumann and
Jianhong Xu A note on Newton and Newton-like
inequalities for $M$-matrices and for
Drazin inverses of $M$-matrices . . . . 314--328
Vladimir Nikiforov Linear combinations of graph eigenvalues 329--336
Stephen J. Kirkland Limit points for normalized Laplacian
eigenvalues . . . . . . . . . . . . . . 337--344
Ricardo L. Soto and
Oscar Rojo and
Julio Moro and
Alberto Borobia Symmetric nonnegative realization of
spectra . . . . . . . . . . . . . . . . 1--18
A. R. Moghaddamfar and
S. M. H. Pooya and
S. Navid Salehy and
S. Nima Salehy More calculations on determinant
evaluations . . . . . . . . . . . . . . 19--29
Michael S. Cavers and
Kevin N. Vander Meulen Inertially arbitrary nonzero patterns of
order $4$ . . . . . . . . . . . . . . . 30--43
Christian Bidard The weak Hawkins--Simon condition . . . 44--59
Bo Cheng and
Bolian Liu On the nullity of graphs . . . . . . . . 60--67
Zvi Lotker Note on deleting a vertex and weak
interlacing of the Laplacian spectrum 68--72
Yongge Tian and
Yonghui Liu On a group of mixed-type reverse-order
laws for generalized inverses of a
triple matrix product with applications 73--89
Steve Butler Interlacing for weighted graphs using
the normalized Laplacian . . . . . . . . 90--98
David Hecker and
Deborah Lurie Using least-squares to find an
approximate eigenvector . . . . . . . . 99--110
Robert E. Hartwig and
Pedro Patricio On Roth's pseudo equivalence over rings 111--124
M. Bayat and
H. Teimoori and
B. Mehri A generalization of rotations and
hyperbolic matrices and its applications 125--134
Marija Dodig Controllability of series connections 135--156
Lihu Berman and
Arie Feuer On perfect conditioning of Vandermonde
matrices on the unit circle . . . . . . 157--161
Daniel Hershkowitz and
Allan Pinkus On nonnegative sign equivalent and sign
similar factorizations of matrices . . . 162--170
Yan Zhu and
Ting-Zhu Huang Subdirect sums of doubly diagonally
dominant matrices . . . . . . . . . . . 171--182
Nathan L. Chenette and
Sean V. Droms and
Leslie Hogben and
Rana Mikkelson and
Olga Pryporova Minimum rank of a tree over an arbitrary
field . . . . . . . . . . . . . . . . . 183--186
Yongge Tian and
Yoshio Takane Some algebraic and statistical
properties of WLSEs under a general
growth curve model . . . . . . . . . . . 187--203
Stephen J. Kirkland A note on a distance bound using
eigenvalues of the normalized Laplacian
matrix . . . . . . . . . . . . . . . . . 204--207
Thomas Britz The Moore--Penrose inverse of a free
matrix . . . . . . . . . . . . . . . . . 208--215
Michael I. Gil' Spectrum of infinite block matrices and
$ \pi $-triangular operators . . . . . . 216--231
Rajesh J. Pereira Nilpotent matrices and spectrally
arbitrary sign patterns . . . . . . . . 232--236
Damjana Kokol Bukov\vsek and
Toma\vz Ko\vsir and
Nika Novak and
Polona Oblak Products of commuting nilpotent
operators . . . . . . . . . . . . . . . 237--247
Leiba X. Rodman Comparison of congruences and strict
equivalences for real, complex, and
quaternionic matrix pencils with
symmetries . . . . . . . . . . . . . . . 248--283
Ravindra B. Bapat On generalized inverses of banded
matrices . . . . . . . . . . . . . . . . 284--290
Jane Day and
Wasin So Singular value inequality and graph
energy change . . . . . . . . . . . . . 291--299
N. P. van der Aa and
H. G. ter Morsche and
R. R. M. Mattheij Computation of eigenvalue and
eigenvector derivatives for a general
complex-valued eigensystem . . . . . . . 300--314
Tsvi Tlusty A relation between the multiplicity of
the second eigenvalue of a graph
Laplacian, Courant's nodal line theorem
and the substantial dimension of tight
polyhedral surfaces . . . . . . . . . . 315--324
Fernando Szechtman Equivalence and congruence of matrices
under the action of standard parabolic
subgroups . . . . . . . . . . . . . . . 325--333
Geir Dahl Combinatorial properties of
Fourier--Motzkin elimination . . . . . . 334--346
Chi-Kwong Li and
Edward Poon and
Ashwin Rastogi Maps preserving spectral radius,
numerical radius, spectral norm . . . . 347--365
Sebastian M. Cioab\ua and
David A. Gregory Principal eigenvectors of irregular
graphs . . . . . . . . . . . . . . . . . 366--379
David A. Grundy and
Charles R. Johnson and
Dale D. Olesky and
Pauline van den Driessche Products of $M$-matrices and nested
sequences of principal minors . . . . . 380--388
Kazumasa Nomura and
Paul Terwilliger Affine transformations of a Leonard pair 389--417
R. Balaji and
T. Parthasarathy The $Q$-property of a multiplicative
transformation in semidefinite linear
complementarity problems . . . . . . . . 419--428
Lisa Wood Bradley and
Ernie L. Stitzinger Class, dimension and length in nilpotent
Lie algebras . . . . . . . . . . . . . . 429--434
R. Balaji and
Ravindra B. Bapat Block distance matrices . . . . . . . . 435--443
Michael I. Gil' Estimates for absolute values of matrix
functions . . . . . . . . . . . . . . . 444--450
Irene Sciriha A characterization of singular graphs 451--462
Bing Zheng and
Zhiping Xiong A new equivalent condition of the
reverse order law for $G$-inverses of
multiple matrix products . . . . . . . . 1--8
Charles R. Johnson and
Robert Reams Constructing copositive matrices from
interior matrices . . . . . . . . . . . 9--20
Peter Lancaster Linearization of regular matrix
polynomials . . . . . . . . . . . . . . 21--27
Maribel I. Bueno and
Susana Furtado On the exponent of $r$-regular primitive
matrices . . . . . . . . . . . . . . . . 28--47
Mirjam Dür and
Georg Still Interior points of the completely
positive cone . . . . . . . . . . . . . 48--53
Bolian Liu and
Gang Li A note on the largest eigenvalue of
non-regular graphs . . . . . . . . . . . 54--61
Josip Mateja\vs Quadratic convergence bounds of scaled
iterates by the serial Jacobi methods
for indefinite Hermitian matrices . . . 62--87
Qing-Wen Wang and
Fei Zhang The reflexive re-nonnegative definite
solution to a quaternion matrix equation 88--101
Alexander L. Sakhnovich and
Lev A. Sakhnovich On a mean value theorem in the class of
Herglotz functions and its applications 102--109
Dragan Stevanovi\'c and
Pierre Hansen The minimum spectral radius of graphs
with a given clique number . . . . . . . 110--117
Grigoris I. Kalogeropoulos and
Athanasios D. Karageorgos and
Athanasios A. Pantelous The Drazin inverse through the matrix
pencil approach and its application to
the study of generalized linear systems
with rectangular or square coefficient
matrices . . . . . . . . . . . . . . . . 118--138
Sasmita Barik and
Milan Nath and
Sukanta Pati and
Bhaba Kumar Sarma Unicyclic graphs with the strong
reciprocal eigenvalue property . . . . . 139--153
Mike Krebs and
Anthony Shaheen On the spectra of Johnson graphs . . . . 154--167
Leiba X. Rodman Hamiltonian square roots of skew
Hamiltonian quaternionic matrices . . . 168--191
Natalia Bebiano and
Joao da Providência and
Ana Cristina Nata and
Maria da Graca Pereira Soares Krein spaces numerical ranges and their
computer generation . . . . . . . . . . 192--208
In-Jae Kim and
Bryan L. Shader Sign patterns that require a positive or
nonnegative left inverse . . . . . . . . 209--218
Minerva Catral and
Dale D. Olesky and
Pauline van den Driessche Group inverses of matrices with path
graphs . . . . . . . . . . . . . . . . . 219--233
Volker Mehrmann and
Hongguo Xu Perturbation of purely imaginary
eigenvalues of Hamiltonian matrices
under structured perturbations . . . . . 234--257
J. Vermeer On (con)similarities and congruences
between $A$ and $ A^*$, $ A^T$ or $ \bar
{A}$ . . . . . . . . . . . . . . . . . . 258--283
Ian M. Wanless On the Brualdi--Liu conjecture for the
even permanent . . . . . . . . . . . . . 284--286
Ricardo L. Soto and
Javier Ccapa Nonnegative matrices with prescribed
elementary divisors . . . . . . . . . . 287--303
Fatemeh Khalooei and
Mehdi Radjabalipour and
Parisa Torabian Linear preservers of left matrix
majorization . . . . . . . . . . . . . . 304--315
Marija Dodig Eigenvalues of partially prescribed
matrices . . . . . . . . . . . . . . . . 316--332
Thomas J. Laffey and
Helena \vSmigoc On a classic example in the nonnegative
inverse eigenvalue problem . . . . . . . 333--342
Qing-Wen Wang and
Hua-Sheng Zhang and
Shao-Wen Yu On solutions to the quaternion matrix
equation $ A X B + C Y D = E $ . . . . . 343--358
Moshe Goldberg Stable subnorms on finite-dimensional
power-associative algebras . . . . . . . 359--375
Simone Severini and
Ferenc Szöll\Hosi A further look into combinatorial
orthogonality . . . . . . . . . . . . . 376--388
Abed Elhashash and
Daniel B. Szyld On general matrices having the
Perron--Frobenius property . . . . . . . 389--413
Shuchao Li and
Nana Li On minimal energies of trees with given
diameter . . . . . . . . . . . . . . . . 414--425
Shmuel Friedland and
Elena Virnik Nonnegativity of Schur complements of
nonnegative idempotent matrices . . . . 426--435
Gregor Dolinar and
Bojan Kuzma General preservers of
quasi-commutativity on Hermitian
matrices . . . . . . . . . . . . . . . . 436--444
John Maroulas Further results on the Craig--Sakamoto
equation . . . . . . . . . . . . . . . . 445--457
Nikolaos Papathanasiou and
Panayiotis Psarrakos Normal matrix polynomials with
nonsingular leading coefficients . . . . 458--472
Bernd Fritzsche and
Bernd Kirstein and
Alexander L. Sakhnovich On a new class of structured matrices
related to the discrete
skew-self-adjoint Dirac systems . . . . 473--486
Wei Zhang and
Zheng-Zhi Han and
Shu-Qian Shen A parameterized lower bound for the
smallest singular value . . . . . . . . 487--492
Andrés Sáez-Schwedt Matricial decomposition of systems over
rings . . . . . . . . . . . . . . . . . 493--507
Leiba X. Rodman Isotropic subspaces for pairs of
Hermitian matrices . . . . . . . . . . . 508--517
Fernando De Terán and
Froilán M. Dopico Sharp lower bounds for the dimension of
linearizations of matrix polynomials . . 518--531
Allan Pinkus Zero minors of totally positive matrices 532--542
Ali Reza Moghaddamfar and
S. Navid Salehy and
S. Nima Salehy Certain matrices related to the
Fibonacci sequence having recursive
entries . . . . . . . . . . . . . . . . 543--576
François Dubeau Linear algebra and the sums of powers of
integers . . . . . . . . . . . . . . . . 577--596
Xuehan Cheng and
Wu Jing Additivity of maps on triangular
algebras . . . . . . . . . . . . . . . . 597--615
Jianhong Xu Markov chain small-world model with
asymmetric transition probabilities . . 616--636
Vasilios N. Katsikis and
Dimitrios Pappas Fast computing of the Moore--Penrose
inverse matrix . . . . . . . . . . . . . 637--650
Adam Coffman Real equivalence of complex matrix
pencils and complex projections of real
Segr\`e varieties . . . . . . . . . . . 651--698
Esteban Bailo and
Josep Gelonch and
Sergio Romero-Vivó An upper bound of the reachability index
for a special class of positive $2$-D
systems . . . . . . . . . . . . . . . . 1--12
Stephen W. Drury Operator norms of words formed from
positive-definite matrices . . . . . . . 13--20
Qing-Feng Xiao and
Xi-Yan Hu and
Lei Zhang The anti-symmetric ortho-symmetric
solutions of the matrix equation $ A^T X
A = D $ . . . . . . . . . . . . . . . . 21--29
Oscar Rojo and
Luis Medina Spectra of weighted compound graphs of
generalized Bethe trees . . . . . . . . 30--57
Mao-Ting Chien and
Hiroshi Nakazato The numerical radius of a weighted shift
operator with geometric weights . . . . 58--63
Bolian Liu and
Mu-huo Liu and
Zhifu You Erratum to ``A note on the largest
eigenvalue of non-regular graphs''
[MR2390359] . . . . . . . . . . . . . . 64--68
Cheng-yi Zhang and
Shuanghua Luo and
Chengxian Xu and
Hongying Jiang Schur complements of generally
diagonally dominant matrices and a
criterion for irreducibility of matrices 69--87
Fatemeh Khalooei and
Abbas Salemi The Structure of linear preservers of
left matrix majorization on $ \mathbb
{R}^P $ . . . . . . . . . . . . . . . . 88--97
Minerva Catral and
Dale D. Olesky and
Pauline van den Driessche Block representations of the Drazin
inverse of a bipartite matrix . . . . . 98--107
Grigoris I. Kalogeropoulos and
Athanasios D. Karageorgos and
Athanasios A. Pantelous An angle metric through the notion of
Grassmann representative . . . . . . . . 108--116
Changjiang Bu and
Jiemei Zhao and
Kuize Zhang Some results on group inverses of block
matrices over skew fields . . . . . . . 117--125
Francesco Barioli and
Shaun M. Fallat and
H. Tracy Hall and
Daniel Hershkowitz and
Leslie Hogben and
Hein van der Holst and
Bryan Shader and
Bryan Shader and
Bryan Shader and
Bryan Shader and
Bryan Shader On the minimum rank of not necessarily
symmetric matrices: a preliminary study 126--145
Charles R. Johnson and
Cris Negron Totally positive completions for
monotonically labeled block clique
graphs . . . . . . . . . . . . . . . . . 146--161
In-Jae Kim and
Dale D. Olesky and
Bryan L. Shader and
Pauline van den Driessche and
Hein van der Holst and
Kevin N. Vander Meulen Generating potentially nilpotent full
sign patterns . . . . . . . . . . . . . 162--175
Luz Maria DeAlba and
Leslie Hogben and
Bhaba Kumar Sarma The $Q$-matrix completion problem . . . 176--191
Hein van der Holst On the maximum positive semi-definite
nullity and the cycle matroid of graphs 192--201
Türker Biyiko\uglu and
Marc Hellmuth and
Josef Leydold Largest eigenvalues of the discrete
$p$-Laplacian of trees with degree
sequences . . . . . . . . . . . . . . . 202--210
Charles R. Johnson and
Roberto S. Costas-Santos and
Boris Tadchiev Matrices totally positive relative to a
tree . . . . . . . . . . . . . . . . . . 211--221
Lajos Molnár Maps on positive operators preserving
Lebesgue decompositions . . . . . . . . 222--232
Ravindra B. Bapat and
Arbind K. Lal and
Sukanta Pati The distance matrix of a bidirected tree 233--245
Jiri Rohn Description of all solutions of a linear
complementarity problem . . . . . . . . 246--252
Hamid Reza Afshin and
Mohammad Ali Mehrjoofard and
Abbas Salemi Polynomial numerical hulls of order $3$ 253--263
Qing-feng Xiao and
Xi-yan Hu and
Lei Zhang The symmetric minimal rank solution of
the matrix equation $ A X = B $ and the
optimal approximation . . . . . . . . . 264--273
E. Mac\'ìas-Virgós and
M. J. Pereira-Sáez Left eigenvalues of $ 2 \times 2 $
symplectic matrices . . . . . . . . . . 274--280
Ross A. Lippert and
Gilbert Strang The Jordan forms of $ A B $ and $ B A $ 281--288
Qing-Wen Wen Wang and
Hua-Sheng Zhang and
Guang-Jing Song A new solvable condition for a pair of
generalized Sylvester equations . . . . 289--301
Lev Glebsky and
Luis Manuel Rivera On low rank perturbations of complex
matrices and some discrete metric spaces 302--316
Tobias Brüll Explicit solutions of regular linear
discrete-time descriptor systems with
constant coefficients . . . . . . . . . 317--338
Dale D. Olesky and
Michael J. Tsatsomeros and
Pauline van den Driessche $ M_\vee $-matrices: a generalization of
$M$-matrices based on eventually
nonnegative matrices . . . . . . . . . . 339--351
Rafael Cantó and
Beatriz Ricarte and
Ana M. Urbano Full rank factorization and the Flanders
Theorem . . . . . . . . . . . . . . . . 352--363
P. Raja and
S. M. Vaezpour On $ {\cal C} $-commuting graph of
matrix algebra . . . . . . . . . . . . . 364--370
Fernando De Terán and
Froilán M. Dopico and
D. Steven Mackey Linearizations of singular matrix
polynomials and the recovery of minimal
indices . . . . . . . . . . . . . . . . 371--402
Luz M. DeAlba and
Jason Grout and
Leslie Hogben and
Rana Mikkelson and
Kaela Rasmussen Universally optimal matrices and field
independence of the minimum rank of a
graph . . . . . . . . . . . . . . . . . 403--419
Andrej Muhi\vc and
Bor Plestenjak On the singular two-parameter eigenvalue
problem . . . . . . . . . . . . . . . . 420--437
Eric A. Carlen and
Elliott H. Lieb Short proofs of theorems of Mirsky and
Horn on diagonals and eigenvalues of
matrices . . . . . . . . . . . . . . . . 438--441
Rosário Fernandes On the inverse eigenvalue problems: the
case of superstars . . . . . . . . . . . 442--461
Javier Ccapa and
Ricardo L. Soto On spectra perturbation and elementary
divisors of positive matrices . . . . . 462--481
Marko Orel and
Bojan Kuzma Additive rank-one nonincreasing maps on
Hermitian matrices over the field $ {\rm
GF}(2^2) $ . . . . . . . . . . . . . . . 482--499
Jiri Rohn Forty necessary and sufficient
conditions for regularity of interval
matrices: a survey . . . . . . . . . . . 500--512
Ernie Stitzinger and
Laurie Zack Realizations of the complex nilpotent
Lie algebras with small second derived
quotient . . . . . . . . . . . . . . . . 513--515
Genrich Belitskii and
Andrii R. Dmytryshyn and
Ruvim Lipyanski and
Vladimir V. Sergeichuk and
Arkady Tsurkov Problems of classifying associative or
Lie algebras over a field of
characteristic not two and finite
metabelian groups are wild . . . . . . . 516--529
Wayne Barrett and
Ryan Bowcutt and
Mark Cutler and
Seth Gibelyou and
Kayla Owens Minimum rank of edge subdivisions of
graphs . . . . . . . . . . . . . . . . . 530--563
Ali Reza Moghaddamfar and
S. M. H. Pooya Generalized Pascal triangles and
Toeplitz matrices . . . . . . . . . . . 564--588
Jiri Rohn An algorithm for solving the absolute
value equation . . . . . . . . . . . . . 589--599
Chongguang Cao and
Juyan Li Group inverses for matrices over a Bézout
domain . . . . . . . . . . . . . . . . . 600--612
Dragana S. Cvetkovi\'c-Ili\'c and
Yimin Wei Representations for the Drazin inverse
of bounded operators on Banach space . . 613--627
Kevin N. Vander Meulen and
Adam Van Tuyl Zero-nonzero patterns for nilpotent
matrices over finite fields . . . . . . 628--648
Dragomir \vZ. \Dbarokovi\'c and
Simone Severini and
Ferenc Szöll\Hosi Rational orthogonal versus real
orthogonal . . . . . . . . . . . . . . . 649--673
Yubin Gao and
Yanling Shao and
Yizheng Fan Spectrally arbitrary complex sign
pattern matrices . . . . . . . . . . . . 674--692
Roger A. Horn and
Giuseppe Piazza and
Tiziano Politi Explicit polar decompositions of complex
matrices . . . . . . . . . . . . . . . . 693--699
Hubert Pickmann and
Juan C. Egaña and
Ricardo L. Soto Two inverse eigenproblems for symmetric
doubly arrow matrices . . . . . . . . . 700--718
Bolian Liu and
Yufei Huang and
Siyuan Chen On the characterization of graphs with
pendent vertices and given nullity . . . 719--734
Bolian Liu and
Yufei Huang and
Zhifu You On $ \lambda_1 $-extremal non-regular
graphs . . . . . . . . . . . . . . . . . 735--744
Janko Bra\vci\vc Algebraic reflexivity for semigroups of
operators . . . . . . . . . . . . . . . 745--760
Dijana Mosi\'c and
Dragan S. Djordjevi\'c Partial isometries and EP elements in
rings with involution . . . . . . . . . 761--772
Romain Boulet Disjoint unions of complete graphs
characterized by their Laplacian
spectrum . . . . . . . . . . . . . . . . 773--783
Stephen J. Kirkland Subdominant eigenvalues for stochastic
matrices with given column sums . . . . 784--800
Cheng-Yi Zhang and
Shuanghua Luo and
Fengmin Xu and
Chengxian Xu The eigenvalue distribution of Schur
complements of nonstrictly diagonally
dominant matrices and general
$H$-matrices . . . . . . . . . . . . . . 801--820
Judith J. McDonald and
Hans Schneider and
Michael J. Tsatsomeros Preface: Nonnegative Matrix Theory:
Generalizations and Applications
American Institute of Mathematics, Palo
Alto, CA, December 1--5, 2008 . . . . . 1--1
David Handelman Matrices of positive polynomials . . . . 2--89
Abed Elhashash and
Uriel G. Rothblum and
Daniel B. Szyld Paths of matrices with the strong
Perron--Frobenius property converging to
a given matrix with the
Perron--Frobenius property . . . . . . . 90--97
Elisabeth M. Ellison and
Leslie Hogben and
Michael J. Tsatsomeros Sign patterns that require eventual
positivity or require eventual
nonnegativity . . . . . . . . . . . . . 98--107
Abraham Berman and
Minerva Catral and
Luz Maria DeAlba and
Abed Elhashash and
Frank J. Hall and
Leslie Hogben and
In-Jae Kim and
Dale D. Olesky and
Pablo Tarazaga and
Michael J. Tsatsomeros and
Pauline van den Driessche Sign patterns that allow eventual
positivity . . . . . . . . . . . . . . . 108--120
Minerva Catral and
Leslie Hogben and
Dale D. Olesky and
Pauline van den Driessche Sign patterns that require or allow
power-positivity . . . . . . . . . . . . 121--128
Leslie Hogben Eventually cyclic matrices and a test
for strong eventual nonnegativity . . . 129--140
Nigel Boston Spaces of constant rank matrices over $
{\rm GF}(2) $ . . . . . . . . . . . . . 1--5
Juan Zhang and
Jianzhou Liu New estimates for the solution of the
Lyapunov matrix differential equation 6--19
Brent J. Deschamp and
Bryan L. Shader Permanents of Hessenberg $ (0, 1)
$-matrices revisited . . . . . . . . . . 20--52
Wayne Barrett and
Camille Jepsen and
Robert Lang and
Emily McHenry and
Curtis Nelson and
Kayla Owens Inertia sets for graphs on six or fewer
vertices . . . . . . . . . . . . . . . . 53--78
Lajos Molnár and
Gerg\Ho Nagy Thompson isometries on positive
operators: The $2$-dimensional case . . 79--89
Roger A. Horn and
Fuzhen Zhang Bounds on the spectral radius of a
Hadamard product of nonnegative or
positive semidefinite matrices . . . . . 90--94
Augusto Ferrante and
Harald K. Wimmer Reachability matrices and cyclic
matrices . . . . . . . . . . . . . . . . 95--102
Marek Niezgoda Kantorovich type inequalities for
ordered linear spaces . . . . . . . . . 103--114
Philip Foth Eigenvalues of sums of pseudo-Hermitian
matrices . . . . . . . . . . . . . . . . 115--125
Andre C. M. Ran and
Leiba X. Rodman Ranges of Sylvester maps and a minimal
rank problem . . . . . . . . . . . . . . 126--135
Oscar Rojo and
Luis Medina and
Nair M. M. de Abreu and
Claudia Justel Extremal algebraic connectivities of
certain caterpillar classes and
symmetric caterpillars . . . . . . . . . 136--157
Shu-Qian Shen and
Ting-Zhu Huang On symmetric matrices with exactly one
positive eigenvalue . . . . . . . . . . 158--167
Dragan Stevanovi\'c and
Aleksandar Ili\'c Distance spectral radius of trees with
fixed maximum degree . . . . . . . . . . 168--179
Marina Arav and
Frank Hall and
Zhongshan Li and
Krishna Kaphle and
Nilay Manzagol Spectrally arbitrary tree sign patterns
of order $4$ . . . . . . . . . . . . . . 180--197
Christos Chorianopoulos and
Panayiotis Psarrakos and
Frank Uhlig A method for the inverse numerical range
problem . . . . . . . . . . . . . . . . 198--206
Julio Ben\'ìtez A new decomposition for square matrices 207--225
Yongge Tian Rank and inertia of submatrices of the
Moore--Penrose inverse of a Hermitian
matrix . . . . . . . . . . . . . . . . . 226--240
Rafael Cantó and
Beatriz Ricarte and
Ana M. Urbano Some characterizations of totally
nonpositive (totally negative) matrices 241--253
Julio Ben\'ìtez and
Xiaoji Liu and
Jin Zhong Some results on matrix partial orderings
and reverse order law . . . . . . . . . 254--273
Gholam R. Omidi and
Ebrahim Vatandoost Starlike trees with maximum degree $4$
are determined by their signless
Laplacian spectra . . . . . . . . . . . 274--290
Gui-Xian Tian and
Ting-Zhu Huang Inequalities for the minimum eigenvalue
of $M$-matrices . . . . . . . . . . . . 291--302
Michael I. Gil' Perturbations of functions of
diagonalizable matrices . . . . . . . . 303--313
Jianzhou Liu and
Juan Zhang and
Yu Liu A new upper bound for the eigenvalues of
the continuous algebraic Riccati
equation . . . . . . . . . . . . . . . . 314--321
Didier Henrion Semidefinite geometry of the numerical
range . . . . . . . . . . . . . . . . . 322--332
A. G. Mazko Spectrum localization of regular matrix
polynomials and functions . . . . . . . 333--350
Sebastian M. Cioab\ua A necessary and sufficient eigenvector
condition for a connected graph to be
bipartite . . . . . . . . . . . . . . . 351--353
Bart De Bruyn Some subspaces of the projective space $
{\rm PG}(\bigwedge^K V) $ related to
regular spreads of $ {\rm PG}(V) $ . . . 354--366
Jianhong Xu On the trace characterization of the
joint spectral radius . . . . . . . . . 367--375
Mao-Ting Chien and
Hiroshi Nakazato The $q$-numerical range of $ 3 \times 3$
tridiagonal matrices . . . . . . . . . . 376--390
Xianya Geng and
Shuchao Li On the spectral radii of quasi-tree
graphs and quasi-unicyclic graphs with
$k$ pendant vertices . . . . . . . . . . 391--405
Changjiang Bu and
Kuize Zhang The explicit representations of the
Drazin inverses of a class of block
matrices . . . . . . . . . . . . . . . . 406--418
Federico G. Poloni Constructing matrix geometric means . . 419--435
Alexander Diaz and
Corey Dunn The linear independence of sets of two
and three canonical algebraic curvature
tensors . . . . . . . . . . . . . . . . 436--448
Louis Deaett and
Dale D. Olesky and
Pauline van den Driessche Refined inertially and spectrally
arbitrary zero-nonzero patterns . . . . 449--467
Randall J. Elzinga and
David A. Gregory Weighted matrix eigenvalue bounds on the
independence number of a graph . . . . . 468--489
Hasan Alnajjar and
Brian Curtin Leonard pairs from the equitable basis
of $ {\rm sl}_2 $ . . . . . . . . . . . 490--505
John E. McCarthy and
Richard M. Timoney Polynomial inequalities for
non-commuting operators . . . . . . . . 506--518
Behnam Hashemi and
Mehdi Dehghan Efficient computation of enclosures for
the exact solvents of a quadratic matrix
equation . . . . . . . . . . . . . . . . 519--536
Lin-Lin Zhao and
Guo-Liang Chen and
Qing-Bing Liu Least squares $ (P, Q) $-orthogonal
symmetric solutions of the matrix
equation and its optimal approximation 537--551
Qing Wen Wang and
Jing Jiang Extreme ranks of (skew-)Hermitian
solutions to a quaternion matrix
equation . . . . . . . . . . . . . . . . 552--573
Hein van der Holst On the Strong Arnol'd Hypothesis and the
connectivity of graphs . . . . . . . . . 574--585
Yaoping Hou and
Wai-Chee Shiu The spectrum of the edge corona of two
graphs . . . . . . . . . . . . . . . . . 586--594
Ricardo L. Soto and
Mario Salas and
Cristina Manzaneda Nonnegative realization of complex
spectra . . . . . . . . . . . . . . . . 595--609
Maryam Mirzakhah and
Dariush Kiani The sun graph is determined by its
signless Laplacian spectrum . . . . . . 610--620
Cheng-Yi Zhang and
Shuanghua Luo and
Aiqun Huang and
Junxiang Lu The eigenvalue distribution of block
diagonally dominant matrices and block
$H$-matrices . . . . . . . . . . . . . . 621--639
Maribel I. Bueno and
Susana Furtado On the gaps in the set of exponents of
Boolean primitive circulant matrices . . 640--660
Lon H. Mitchell and
Sivaram K. Narayan and
Ian Rogers On the minimum vector rank of
multigraphs . . . . . . . . . . . . . . 661--672
Abed Elhashash and
Daniel B. Szyld Matrix functions preserving sets of
generalized nonnegative matrices . . . . 673--690
Jason Grout The minimum rank problem over finite
fields . . . . . . . . . . . . . . . . . 691--716
Jiri Rohn A characterization of strong regularity
of interval matrices . . . . . . . . . . 717--722
Peter J. C. Dickinson An improved characterisation of the
interior of the completely positive cone 723--729
Aimei Yu A new upper bound for the Laplacian
spectral radius of a graph . . . . . . . 730--738
Chi-Kwong Li and
Thomas Milligan and
Michael W. Trosset Euclidean and circum-Euclidean distance
matrices: Characterizations and linear
preservers . . . . . . . . . . . . . . . 739--752
Xiao-Wei Wei Xu and
Hong-Ying Ying Zhang Jordan left derivations in full and
upper triangular matrix rings . . . . . 753--759
Roger A. Horn and
Fuzhen Zhang Preface: Special volume of the
electronic journal of linear algebra on
the occasion of the 3rd International
Workshop on Matrix Analysis and
Applications . . . . . . . . . . . . . . 1--2
C. M. da Fonseca A lower bound for the number of distinct
eigenvalues of some real symmetric
matrices . . . . . . . . . . . . . . . . 3--11
Jianzhou Liu and
Rong Huang Generalized Schur complements of
matrices and compound matrices . . . . . 12--24
Tin-Yau Tam A. Horn's result on matrices with
prescribed singular values and
eigenvalues . . . . . . . . . . . . . . 25--27
Runling An and
Jinchuan Hou Characterizations of Jordan derivations
on triangular rings: Additive maps
Jordan derivable at idempotents . . . . 28--42
Rui-Pu Bai and
Cai-Hong Shen and
Yao-Zhong Zhang Solvable $3$-Lie algebras with a maximal
hypo-nilpotent ideal $N$ . . . . . . . . 43--61
Jiemei Zhao and
Changjiang Bu Group inverse for the block matrix with
two identical subblocks over skew fields 63--75
Guozhu Yao and
Anping Liao and
Xuefeng Duan Positive definite solution of the matrix
equation $ X = Q + A^H (I \otimes X -
C)^( - \delta) A $ . . . . . . . . . . . 76--84
Chunyuan Deng and
Yimin Wei Perturbation of the generalized Drazin
inverse . . . . . . . . . . . . . . . . 85--97
Natália Bebiano and
João da Providência and
João P. da Providência Classes of non-Hermitian operators with
real eigenvalues . . . . . . . . . . . . 98--109
Jin-Li Xu and
Xiao-Min Tang and
Chong-Guang Cao Idempotence-preserving maps between
matrix spaces over fields of
characteristic $2$ . . . . . . . . . . . 110--123
Yongge Tian Completing block Hermitian matrices with
maximal and minimal ranks and inertias 124--141
Aihua Li and
Edward Mosteig On the construction of explicit
solutions to the matrix equation $ X^2 A
X = A X A $ . . . . . . . . . . . . . . 142--153
Huazhang Wu and
Xiaoxuan Wu and
Zhenghong Yang More on polynomial Bézoutians with
respect to a general basis . . . . . . . 154--171
Bryan L. Shader From the Editor-in-Chief . . . . . . . . 172--173
Peyman Niroomand and
Francesco G. Russo A restriction on the Schur multiplier of
nilpotent Lie algebras . . . . . . . . . 1--9
Francesco Barioli and
Shaun M. Fallat and
Lon H. Mitchell and
Sivaram K. Narayan Minimum semidefinite rank of outerplanar
graphs and the tree cover number . . . . 10--21
Bojan Kuzma and
Chi-Kwong Li and
Leiba Rodman Tracial numerical ranges and linear
dependence of operators . . . . . . . . 22--52
D. Steven Mackey and
Niloufer Mackey and
Christian Mehl and
Volker Mehrmann Smith forms of palindromic matrix
polynomials . . . . . . . . . . . . . . 53--91
Dijana Mosi\'c and
Dragan S. Djordjevi\'c Reverse order law for the Moore--Penrose
inverse in $ C^* $-algebras . . . . . . 92--111
Muhuo Liu and
Bolian Liu and
Fuyi Wei Graphs determined by their (signless)
Laplacian spectra . . . . . . . . . . . 112--124
Charles R. Johnson and
Brenda K. Kroschel Conditions for a totally positive
completion in the case of a
symmetrically placed cycle . . . . . . . 125--137
Jiri Rohn Explicit inverse of an interval matrix
with unit midpoint . . . . . . . . . . . 138--150
Zhifu You and
Bolian Liu The signless Laplacian separator of
graphs . . . . . . . . . . . . . . . . . 151--160
Sever S. Dragomir Vector and operator trapezoidal type
inequalities for continuous functions of
selfadjoint operators in Hilbert spaces 161--178
Mohammad Sal Moslehian and
Ritsuo Nakamoto and
Yuki Seo A Diaz--Metcalf type inequality for
positive linear maps and its
applications . . . . . . . . . . . . . . 179--190
Juan Zhang and
Jianzhou Liu New lower solution bounds for the
continuous algebraic Riccati equation 191--202
Leslie Hogben A note on minimum rank and maximum
nullity of sign patterns . . . . . . . . 203--213
Zhongpeng Yang and
Xiaoxia Feng On a Schur complement inequality for the
Hadamard product of certain totally
nonnegative matrices . . . . . . . . . . 214--224
Jiyuan Tao Pseudomonotonicity and related
properties in Euclidean Jordan algebras 225--251
L. Livshits and
G. Macdonald and
H. Radjavi Multiplicative diagonals of matrix
semigroups . . . . . . . . . . . . . . . 252--266
Guang-Jun Zhang and
Xiao-Dong Zhang The $p$-Laplacian spectral radius of
weighted trees with a degree sequence
and a weight set . . . . . . . . . . . . 267--276
Bo Kågström and
Lars Karlsson and
Daniel Kressner Computing codimensions and generic
canonical forms for generalized matrix
products . . . . . . . . . . . . . . . . 277--309
Lena Scholz A derivative array approach for linear
second order differential-algebraic
systems . . . . . . . . . . . . . . . . 310--347
Albrecht Böttcher The algebraic Riccati equation with
Toeplitz matrices as coefficients . . . 348--362
Elizabeth Doering and
T. S. Michael and
Bryan L. Shader Even and odd tournament matrices with
minimum rank over finite fields . . . . 363--377
Zhongxun Zhu The signless Laplacian spectral radius
of bicyclic graphs with a given girth 378--388
Wayne Barrett and
Seth Gibelyou and
Mark Kempton and
Nicole Malloy and
Curtis Nelson and
William Sexton and
John Sinkovi\'c The inverse eigenvalue and inertia
problems for minimum rank two graphs . . 389--418
Morteza Bayat Generalized Pascal $k$-eliminated
functional matrix with $ 2 n$ variables 419--429
Hiroshi Nakazato and
Natália Bebiano and
João da Providência The numerical range of linear operators
on the $2$-dimensional Krein space . . . 430--442
Anton R. Schep Bounds on the spectral radius of
Hadamard products of positive operators
on $ \ell_p$-spaces . . . . . . . . . . 443--447
Fernando De Terán and
Froilán M. Dopico The equation $ X A + A X* = 0 $ and the
dimension of *congruence orbits . . . . 448--465
J. M. Peña and
T. Szulc Loewner matrix ordering in estimation of
the smallest singular value . . . . . . 466--479
Xuzhou Chen and
Jun Ji The minimum-norm least-squares solution
of a linear system and symmetric
rank-one updates . . . . . . . . . . . . 480--489
Xiaoji Liu and
Lingling Wu and
Julio Ben\'ìtez On the group inverse of linear
combinations of two group invertible
matrices . . . . . . . . . . . . . . . . 490--503
Michael Gil' Norm estimates for functions of two
non-commuting matrices . . . . . . . . . 504--512
Mohamed El Kadiri Sur une classe de formes biquadratiques
semi-définies positives. (French) [On a
class of positive semidefinite
quadratric forms] . . . . . . . . . . . 513--520
Wei-Wei Xu and
Li-Xia Cai and
Wen Li The optimal perturbation bounds for the
weighted Moore--Penrose inverse . . . . 521--538
N. Castro-González and
M. F. Mart\'ìnez-Serrano and
J. Robles An extension of the perturbation
analysis for the Drazin inverse . . . . 539--556
Ricardo L. Soto and
Oscar Rojo and
Cristina B. Manzaneda On nonnegative realization of
partitioned spectra . . . . . . . . . . 557--572
A. Salam and
D. S. Watkins Structured $ Q R $ algorithms for
Hamiltonian symmetric matrices . . . . . 573--585
Zhibin Du and
Bo Zhou On the Estrada index of graphs with
given number of cut edges . . . . . . . 586--592
Gerald Bourgeois Pairs of matrices, one of which commutes
with their commutator . . . . . . . . . 593--597
Ali Reza Moghaddamfar and
Kambiz Moghaddamfar and
Hadiseh Tajbakhsh New families of integer matrices whose
leading principal minors form some
well-known sequences . . . . . . . . . . 598--619
Xifu Liu and
Hu Yang A note on the reverse order laws for $
\{ 1, 2, 3 \} $- and $ \{ 1, 2, 4 \}
$-inverses of multiple matrix products 620--629
Yaotang Li and
Xin Liu and
Xiaoying Yang and
Chaoqian Li Some new lower bounds for the minimum
eigenvalue of the Hadamard product of an
$M$-matrix and its inverse . . . . . . . 630--643
Yan Zhu and
Cheng-Yi Zhang and
Jun Liu Path product and inverse $M$-matrices 644--652
Oscar Rojo and
Maria Robbiano and
Domingos M. Cardoso and
Enide A. Martins Spectra of weighted rooted graphs having
prescribed subgraphs at some levels . . 653--671
Peter Kunkel and
Volker Mehrmann Formal adjoints of linear DAE operators
and their role in optimal control . . . 672--693
Zhiping Xiong and
Yingying Qin Invariance properties of an operator
product involving generalized inverses 694--703
Jiri Rohn and
Raena Farhadsefat Inverse interval matrix: a survey . . . 704--719
Hongxing Wang and
Musheng Wei New representations for the
Moore--Penrose inverse . . . . . . . . . 720--728
Meixiang Zhao and
Zhigang Jia and
Musheng Wei Symmetric inverse generalized eigenvalue
problem with submatrix constraints in
structural dynamic model updating . . . 729--742
Yanbo Li and
Zhankui Xiao Additivity of maps on generalized matrix
algebras . . . . . . . . . . . . . . . . 743--757
Alberto Seeger and
José Vicente-Pérez On cardinality of Pareto spectra . . . . 758--766
Li Fang Linear maps preserving the idempotency
of Jordan products of operators . . . . 767--779
Hubert Pickmann and
Juan C. Egaña and
Ricardo L. Soto Extreme spectra realization by real
symmetric tridiagonal and real symmetric
arrow matrices . . . . . . . . . . . . . 780--795
\vStefko Miklavi\vc and
Paul Terwilliger The $A$-like matrices for a hypercube 796--809
Moshe Goldberg and
Eliahu Levy The power equation . . . . . . . . . . . 810--821
Fenjin Liu and
Qiongxiang Huang and
Qinghai Liu Spectral characterization of $ \dagger
$-shape trees . . . . . . . . . . . . . 822--837
Wai Chee Shiu and
Ji-Ming Guo and
Jianxi Li The minimum algebraic connectivity of
caterpillar unicyclic graphs . . . . . . 838--848
Fernando De Terán and
Froilán M. Dopico Consistency and efficient solution of
the Sylvester equation for $ \star
$-congruence . . . . . . . . . . . . . . 849--863
Lajos Molnár Maps preserving general means of
positive operators . . . . . . . . . . . 864--874
Patricia Mariela Morillas Group reconstruction systems . . . . . . 875--911
Dijana Mosi\'c and
Dragan S. Djordjevi\'c Weighted EP elements in $ C^* $-algebras 912--930
Natalie Campbell and
Kevin N. Vander Meulen and
Adam Van Tuyl Structure of nilpotent matrices over
fields . . . . . . . . . . . . . . . . . 931--958
Bojan Kuzma and
Gorazd Le\vsnjak and
Chi-Kwong Li and
Tatjana Petek and
Leiba Rodman Norm preservers of Jordan products . . . 959--978
Leiba Rodman and
Peter \vSemrl Neutral subspaces of pairs of
symmetric/skewsymmetric real matrices 979--999
Walter Shur A simple closed form for triangular
matrix powers . . . . . . . . . . . . . 1000--1003
Gorka Armentia and
Juan-Miguel Gracia and
Francisco E. Velasco Derivatives of the diameter and the area
of a connected component of the
pseudospectrum . . . . . . . . . . . . . 1004--1019
R. Balaji Characterization of $P$-Property for
some $ \mathbf {Z}$-Transformations on
positive semidefinite cone . . . . . . . 1020--1030
S. Friedland and
V. Mehrmann and
A. Miedlar and
M. Nkengla Fast low rank approximations of matrices
and tensors . . . . . . . . . . . . . . 1031--1048
Dragana S. Cvetkovi\'c-Ili\'c and
Xiaoji Liu and
Yimin Wei Some additive results for the
generalized Drazin inverse in a Banach
algebra . . . . . . . . . . . . . . . . 1049--1058
Jakub Kierzkowski and
Alicja Smoktunowicz Block normal matrices and
Gershgorin-type discs . . . . . . . . . 1059--1069
Guang Jing Song and
Qing Wen Wang Positive and re-positive solutions to
some systems of adjointable operator
equations over Hilbert $ C^* $-modules 1070--1084
Zhiping Xiong and
Bing Zheng The reverse order laws and the
mixed-type reverse order laws for
generalized inverses of multiple matrix
products . . . . . . . . . . . . . . . . 1085--1105
Byeong Moon Kim and
Byung Chul Song and
Woonjae Hwang Exponents and diameters of strong
products of digraphs . . . . . . . . . . 1106--1111
Albert Compta and
Josep Ferrer and
Marta Peña Geometric structure of single/combined
equivalence classes of a controllable
pair . . . . . . . . . . . . . . . . . . 1112--1128
Marina To\vsi\'c and
Dragana S. Cvetkovi\'c-Ili\'c and
Chunyuan Deng The Moore--Penrose inverse of a linear
combination of commuting generalized and
hypergeneralized projectors . . . . . . 1129--1137
Mao-Lin Liang and
Li-Fang Dai The solvability conditions of matrix
equations with $K$-involution . . . . . 1138--1147
Yubin Gao and
Yanling Shao Inertially arbitrary tree sign patterns
of order $4$ . . . . . . . . . . . . . . 1148--1155
Vasilios N. Katsikis and
Dimitrios Pappas The restricted weighted generalized
inverse of a matrix . . . . . . . . . . 1156--1167
Chaoqian Li and
Yaotang Li Generalizations of Brauer's localization
theorem . . . . . . . . . . . . . . . . 1168--1178
Abraham Berman and
Miriam Farber A lower bound for the second largest
Laplacian eigenvalue of weighted graphs 1179--1184
M. Catral and
C. Erickson and
L. Hogben and
D. D. Olesky and
P. van den Driessche Sign patterns that allow strong eventual
nonnegativity . . . . . . . . . . . . . 1--10
Yongge Tian On an equality and four inequalities for
generalized inverses of Hermitian
matrices . . . . . . . . . . . . . . . . 11--42
Yaokun Wu and
Shizhen Zhao Incidence matrix and cover matrix of
nested interval orders . . . . . . . . . 43--65
Shi-Cai Gong The characteristic set with respect to
$k$-maximal vectors of a tree . . . . . 66--78
J. Ekstrand and
C. Erickson and
D. Hay and
L. Hogben and
J. Roat Note on positive semidefinite maximum
nullity and positive semidefinite zero
forcing number of partial $2$-trees . . 79--87
Le Cong Loi On multipoint boundary value problems
for index-2 linear singular difference
equations . . . . . . . . . . . . . . . 88--114
Ali Armandnejad and
Zahra Gashool Strong linear preservers of
$g$-tridiagonal majorization on $
\mathbb {R}^N $ . . . . . . . . . . . . 115--121
Lihua You and
Shuyong Yi The characterization of primitive
symmetric loop-free signed digraphs with
the maximum base . . . . . . . . . . . . 122--136
Hong-hai Li and
Li Su and
Hui-xian Sun On bipartite graphs which attain minimum
rank among bipartite graphs with a given
diameter . . . . . . . . . . . . . . . . 137--150
Luz M. DeAlba and
Jason Grout and
In-Jae Kim and
Steve Kirkland and
Judith J. McDonald and
Amy Yielding Minimum rank of powers of trees . . . . 151--163
A. Dilek Maden and
A. Sinan Çevik A generalization for the clique and
independence numbers . . . . . . . . . . 164--170
Guanglong Yu and
Jinlong Shu and
Yuan Hong Bounds of spectral radii of $ K_{2, 3}
$-minor free graphs . . . . . . . . . . 171--179
Yu Pan and
Qing Liu and
Chengming Bai and
Li Guo PostLie algebra structures on the Lie
Algebra $ {\rm SL}(2, \mathbb {C}) $ . . 180--197
M. Seetharama Gowda On copositive and completely positive
cones, and $ \bf Z $-transformations . . 198--211
J. Burk and
Michael J. Tsatsomeros On the Brualdi--Li matrix and its Perron
eigenspace . . . . . . . . . . . . . . . 212--230
Dragana S. Cvetkovi\'c-Ili\'c New conditions for the reverse order
laws for $ \{ 1, 3 \} $ and $ \{ 1, 4 \}
$-generalized inverses . . . . . . . . . 231--242
Gregor Dolinar and
Bojan Kuzma and
Polona Oblak On maximal distances in a commuting
graph . . . . . . . . . . . . . . . . . 243--256
Shi-fang Yuan and
Qing-wen Wang Two special kinds of least squares
solutions for the quaternion matrix
equation $ A X B + C X D = E $ . . . . . 257--274
R. B. Bapat and
S. Sivasubramanian The product distance matrix of a tree
and a bivariate zeta function of a graph 275--286
Fubin Chen and
Yaotang Li and
Defeng Wang A new eigenvalue bound for the Hadamard
product of an $M$-matrix and an inverse
$M$-matrix . . . . . . . . . . . . . . . 287--294
Shuchao Li and
Qin Zhao Ordering trees by the minimal entries of
their doubly stochastic graph matrices 295--305
Sanja Singer Orthosymmetric block rotations . . . . . 306--326
Muhuo Liu and
Bolian Liu Some results on the spectral radii of
trees, unicyclic, and bicyclic graphs 327--339
Xiaoling Shen and
Yaoping Hou and
Chongyan Zhang Bicyclic digraphs with extremal skew
energy . . . . . . . . . . . . . . . . . 340--355
Ming-Huat Lim Additive preservers of tensor product of
rank one Hermitian matrices . . . . . . 356--374
Xiaoling Shen and
Yaoping Hou A class of unicyclic graphs determined
by their Laplacian spectrum . . . . . . 375--386
Jianfeng Wang and
Yufa Shen and
Qiongxiang Huang Notes on graphs with least eigenvalue at
least $ - 2 $ . . . . . . . . . . . . . 387--396
Debajit Kalita On $3$-colored digraphs with exactly one
nonsingular cycle . . . . . . . . . . . 397--421
Cheng-Yi Zhang and
Shuanghua Luo and
Jicheng Li and
Fengmin Xu An extension of the class of matrices
arising in the numerical solution of
PDEs . . . . . . . . . . . . . . . . . . 422--444
M. Catral and
P. van den Driessche Representations for the Drazin inverse
of block cyclic matrices . . . . . . . . 445--456
Yanling Shao and
Yubin Gao and
Zhongshan Li The $M$-competition indices of symmetric
primitive digraphs without loops . . . . 457--472
Chang-Xiang He and
Hao Pan The smallest signless Laplacian
eigenvalue of graphs under perturbation 473--482
J. Muñoz Masqué and
M. Eugenia Rosado Mar\'ìa Rational invariants on the space of all
structures of algebras on a
two-dimensional vector space . . . . . . 483--507
Adam Chapman General polynomials over division
algebras and left eigenvalues . . . . . 508--513
Bao-Xuan Zhu A note on the least eigenvalue of a
graph with given maximum degree . . . . 514--522
Salah Mecheri Bishop's property $ (\beta) $, SVEP and
Dunford property $ (C) $ . . . . . . . . 523--529
Zhiping Lin and
Yongzhi Liu and
Giuseppe Molteni and
Dongye Zhang Spectral properties for a new
composition of a matrix and a complex
representation . . . . . . . . . . . . . 530--539
Jin Zhong Binary ranks and binary factorizations
of nonnegative integer matrices . . . . 540--552
Weixing Chen On EP elements, normal elements and
partial isometries in rings with
involution . . . . . . . . . . . . . . . 553--561
M. I. Bueno and
S. Furtado Palindromic linearizations of a matrix
polynomial of odd degree obtained from
Fiedler pencils with repetition . . . . 562--577
Adiyasuren Vandanjav and
Batzorig Undrakh On the numerical ranges of the weighted
shift operators with geometric and
harmonic weights . . . . . . . . . . . . 578--585
Fapeng Du and
Yifeng Xue Perturbation analysis of $ A_{T,
S}^{(2)} $ on Banach Spaces . . . . . . 586--598
Wanlian Yuan and
Bing Wang and
Mingqing Zhai On the spectral radii of graphs without
given cycles . . . . . . . . . . . . . . 599--606
Vanni Noferini The behaviour of the complete
eigenstructure of a polynomial matrix
under a generic rational transformation 607--624
R. E. Hartwig and
P. Patricio A note on power bounded matrices . . . . 625--645
Ali Armandnejad and
Asma Ilkhanizadeh Manesh GUT-majorization and its linear
preservers . . . . . . . . . . . . . . . 646--654
F. Bahrami and
A. Bayati Eshkaftaki Some topological properties of the set
of linear preservers of majorization . . 655--663
Yilun Shang Lower bounds for the Estrada index of
graphs . . . . . . . . . . . . . . . . . 664--668
Hans De Sterck and
Minghua Lin Some majorization inequalities for
coneigenvalues . . . . . . . . . . . . . 669--677
Gil Shabat and
Amir Averbuch Interest zone matrix approximation . . . 678--702
Phi Ha and
Volker Mehrmann Analysis and reformulation of linear
delay differential-algebraic equations 703--730
Michael S. Cavers and
Shaun M. Fallat Allow problems concerning spectral
properties of patterns . . . . . . . . . 731--754
Mao-ting Chien and
Hiroshi Nakazato Singular points of the ternary
polynomials associated with $4$-by-$4$
matrices . . . . . . . . . . . . . . . . 755--769
Aristides I. Kechriniotis and
Konstantinos K. Delibasis and
Christos Tsonos and
Nicholas Petropoulos A new parallel polynomial division by a
separable polynomial via Hermite
interpolation with applications . . . . 770--781
Nair M. M. De Abreu and
Vladimir Nikiforov Maxima of the $Q$-index: abstract graph
properties . . . . . . . . . . . . . . . 782--789
Yaokun Wu and
Jian Shen Opinion dynamics with stubborn vertices 790--800
Cheng-Yi Zhang and
Yan Zhu and
Shuanghua Luo and
Jicheng Li On generalized Schur complement of
nonstrictly diagonally dominant matrices
and general $H$-matrices . . . . . . . . 801--814
Travis Peters Positive semidefinite maximum nullity
and zero forcing number . . . . . . . . 815--830
Yuri M. Nechepurenko and
Miloud Sadkane A generalization of matrix inversion
with application to linear
differential-algebraic systems . . . . . 831--844
Zhongyun Liu and
Yulin Zhang and
Carla Ferreira and
Rui Ralha Structure-preserving Schur methods for
computing square roots of real
skew-Hamiltonian matrices . . . . . . . 845--865
Changjiang Bu and
Lizhu Sun and
Jiang Zhou and
Yimin Wei A note on block representations of the
group inverse of Laplacian matrices . . 866--876
Chris Godsil When can perfect state transfer occur? 877--890
Qianglian Huang and
Mohammad Sal Moslehian Relationship between the Hyers--Ulam
stability and the Moore--Penrose inverse 891--905
Minerva Catral and
Anna Cepek and
Leslie Hogben and
My Huynh and
Kirill Lazebnik and
Travis Peters and
Michael Young Zero forcing number, maximum nullity,
and path cover number of subdivided
graphs . . . . . . . . . . . . . . . . . 906--922
Aleksandar Vlasev and
Karen Yeats A four-vertex, quadratic, spanning
forest polynomial identity . . . . . . . 923--941
Muhuo Liu The (signless) Laplacian spectral radii
of $C$-cyclic graphs with $N$ vertices
and $K$ pendant vertices . . . . . . . . 942--952
Leslie Hogben and
Ulrica Wilson Eventual properties of matrices . . . . 953--965
Roderick Edwards and
Eric Foxall and
Theodore J. Perkins Scaling properties of paths on graphs 966--988
Bernd Schomburg On the approximation of ergodic
projections an d stationary
distributions of stochastic matrices . . 989--1000
Huawei Pan and
Yuan Lei Iterative method for the least squares
problem of a matrix equation with
tridiagonal matrix constraint . . . . . 1001--1022
Ivana M. Radojevi\'c and
Dragan S. Djordjevi\'c Quasihyponormal and strongly
quasihyponormal matrices in inner
product spaces . . . . . . . . . . . . . 1023--1039
Dragan S. Raki\'c Decomposition of a ring induced by minus
partial order . . . . . . . . . . . . . 1040--1059
Carlos M. Fonseca and
Shmuel Friedland and
Oskar Maria Baksalary Preface to Directions in Matrix Theory
Conference . . . . . . . . . . . . . . . 1--2
W. H. Haemers and
M. J. P. Peeters The maximum order of reduced square $
(0, 1) $-matrices with a given rank . . 3--6
Irina Mazilu and
Dan A. Mazilu and
H. Thomas Williams Applications of tridiagonal matrices in
non-equilibrium statistical physics . . 7--17
Shmuel Friedland Results and open problems in matchings
in regular graphs . . . . . . . . . . . 18--33
Leila Lebtahi and
Néstor Thome Properties of a matrix group associated
to a $ \{ K, S + 1 \} $-potent matrix 34--44
Mar\'ìa J. Aragón Periñán and
Antonio J. Calderón Mart\'ìn On graded matrix Hom-algebras . . . . . 45--65
V\'ìctor Álvarez and
José Andrés Armario and
Mar\'ìa Dolores Frau and
Félix Gudiel Embedding cocyclic $D$-optimal designs
in cocyclic Hadamard matrices . . . . . 66--82
Agarwal N. Sushama and
K. Premakumari and
K. C. Sivakumar Weak monotonicity of matrices and
subclasses of proper splittings . . . . 83--94
Dijana Ili\vsevi\'c and
Néstor Thome When is the Hermitian/skew-Hermitian
part of a matrix a potent matrix? . . . 95--112
Pedro J. Freitas and
Shmuel Friedland and
Gaspar Porta Upper bounds on the magnitude of
solutions of certain linear systems with
integer coefficients . . . . . . . . . . 113--125
Júlia Justino and
Imme van den Berg Cramer's rule applied to flexible
systems of linear equations . . . . . . 126--152
A. Barreras and
J. M. Peña Accurate and efficient $ L D U $
decomposition of diagonally dominant
$M$-matrices . . . . . . . . . . . . . . 152--167
J. Abderramán Marrero and
M. Rachidi The Szeg\Ho matrix recurrence and its
associated linear non-autonomous
area-preserving map . . . . . . . . . . 168--180
Milica Andeli\'c and
Tamara Koledin and
Zoran Stani\'c Nested graphs with bounded second
largest (signless Laplacian) eigenvalue 181--201
Angeles Carmona and
Andres M. Encinas and
Silvia Gago Jacobi matrices and boundary value
problems in distance-regular graphs . . 202--214
Mikhail Tyaglov Sign patterns of the Schwarz matrices
and generalized Hurwitz polynomials . . 215--236
Ángeles Carmona and
Andrés M. Encinas and
Margarida Mitjana On the $M$-matrix inverse problem for
singular and symmetric Jacobi matrices 237--254
Oskar Maria Baksalary and
Natalia Bebiano and
Ljiljana Cvetkovi\'c and
Simo Puntanen Preface to special issue: International
Conference on Matrix Analysis and Its
Applications --- MatTriad 2011 . . . . . 1--2
Paula Carvalho A note on strongly regular graphs and $
(k, \tau) $-regular sets . . . . . . . . 3--8
Ivana Pultarová Error propagation formula of multi-level
iterative aggregation-disaggregation
methods for non-symmetric problems . . . 9--21
Célia Fernandes and
Paulo Ramos and
João T. Mexia Crossing balanced and stair nested
designs . . . . . . . . . . . . . . . . 22--48
Ch. R. Johnson and
J. M. Peña and
T. Szulc Optimal Ger\vsgorin-style estimation of
the singular value . . . . . . . . . . . 48--59
A. Barreras and
J. M. Peña Bidiagonal decompositions, minors and
applications . . . . . . . . . . . . . . 60--71
Charles R. Johnson and
Olivia Walch Critical exponents: old and new . . . . 72--83
Charles R. Johnson and
Olivia Walch Commuting pairs of patterns and
symmetric realizations . . . . . . . . . 84--91
Agarwal N. Sushama and
K. Premakumari and
K. C. Sivakumar Weak Monotonicity of Interval Matrices 92--101
Katarzyna Filipiak and
Augustyn Markiewicz and
Aneta Sawikowska Determinants of multidiagonal matrices 102--118
Francisco Carvalho and
Joao T. Mexia and
Carla Santos Commutative orthogonal block structure
and error orthogonal models . . . . . . 119--128
Guang Jing Song Characterization of the $W$-weighted
Drazin inverse over the quaternion skew
field with applications . . . . . . . . 1--14
Buket Benek Gursoy and
Steve Kirkland and
Oliver Mason and
Serge\u\i Sergeev On the Markov chain tree theorem in the
Max algebra . . . . . . . . . . . . . . 15--27
Shuchao Li and
Yan Li and
Xixi Zhang Edge-grafting theorems on permanents of
the Laplacian matrices of graphs and
their applications . . . . . . . . . . . 28--48
Shaun M. Fallat and
Lon H. Mitchell Colin de Verdi\`ere parameters of
chordal graphs . . . . . . . . . . . . . 49--62
Minghua Lin Notes on an Anderson--Taylor type
inequality . . . . . . . . . . . . . . . 63--70
M. S. Cavers and
C. Garnett and
I.-J. Kim and
D. D. Olesky and
P. van den Driessche and
K. N. Vander Meulen Techniques for identifying inertially
arbitrary patterns . . . . . . . . . . . 71--89
I. Brás and
A. C. Carapito and
P. Rocha A note on simultaneous block diagonally
stable matrices . . . . . . . . . . . . 90--100
Gusein Sh. Guseinov RETRACTED: On construction of a complex
finite Jacobi matrix from two spectra 101--120
Nair Maria Maia de Abreu and
Vladimir Nikiforov Maxima of the $Q$-index: graphs with
bounded clique number . . . . . . . . . 121--130
Kexiang Xu and
Kinkar Ch. Das Extremal Laplacian-energy-like invariant
of graphs with given matching number . . 131--140
N. Bebiano and
J. da Providência Numerical ranges of quadratic operators
in spaces with an indefinite metric . . 141--157
Patrick X. Rault and
Tsvetanka Sendova and
Ilya M. Spitkovsky $3$-by-$3$ matrices with elliptical
numerical range revisited . . . . . . . 158--167
Jorma K. Merikoski and
Ravinder Kumar and
Ram Asrey Rajput Upper bounds for the largest eigenvalue
of a bipartite graph . . . . . . . . . . 168--176
M. Seetharama Gowda and
R. Sznajder On the irreducibility, self-duality, and
non-homogeneity of completely positive
cones . . . . . . . . . . . . . . . . . 177--191
Sever S. Dragomir and
Jun Ichi Fujii and
Yuki Seo Bounds for an operator concave function 192--200
N. Castro-González Group inverse of modified matrices over
an arbitrary ring . . . . . . . . . . . 201--214
Daniel Kressner and
Xin Liu Structured canonical forms for products
of (skew-) symmetric matrices and the
matrix equation $ X A X = B $ . . . . . 215--230
Jared L. Aurentz A factorization of the inverse of the
shifted companion matrix . . . . . . . . 231--247
A. K. Lal and
A. Satyanarayana Reddy Non-singular circulant graphs and
digraphs . . . . . . . . . . . . . . . . 248--257
George M. F. Brown Totally bipartite/abipartite Leonard
pairs and Leonard triples of Bannai/Itô
type . . . . . . . . . . . . . . . . . . 258--299
Wayne Barrett and
Nicole Malloy and
Curtis Nelson and
William Sexton and
John Sinkovi\'c Diagonal entry restrictions in minimum
rank matrices . . . . . . . . . . . . . 300--332
Ruifang Liu and
Haixia Wan and
Jinjiang Yuan and
Huicai Jia The least eigenvalue of the signless
Laplacian of non-bipartite unicyclic
graphs with $K$ pendant vertices . . . . 333--344
Xinzhong Cai and
Xinmao Wang A note on the positive semidefinite
minimum rank of a sign pattern matrix 345--356
Ana Marco and
José-Javier Mart\'ìnez Accurate computations with totally
positive Bernstein--Vandermonde matrices 357--380
Hanyuan Deng and
He Huang On the main signless Laplacian
eigenvalues of a graph . . . . . . . . . 381--393
Marko D. Petkovi\'c and
Predrag S. Stanimirovi\'c Block recursive computation of
generalized inverses . . . . . . . . . . 394--405
Marek Niezgoda Choi--Davis--Jensen's inequality and
generalized inverses of linear operators 406--416
Zoran Stani\'c Graphs with small spectral gap . . . . . 417--432
David Dol\vzan and
Matja\vz Konvalinka and
Polona Oblak Diameters of connected components of
commuting graphs . . . . . . . . . . . . 433--445
Oskar Maria Baksalary and
Götz Trenkler On $K$-potent matrices . . . . . . . . . 446--470
Marija Dodig and
Marko Sto\vsi\'c On properties of the generalized
majorization . . . . . . . . . . . . . . 471--509
Alessandro De Paris A remark on Waring decompositions of
some special plane quartics . . . . . . 510--519
Stephen L. Campbell and
Lise E. Holte Eigenvalue placement in completions of
DAES . . . . . . . . . . . . . . . . . . 520--534
Irene Triantafillou On the energy of singular graphs . . . . 535--545
Pasc G\uavru\cta On the Feichtinger conjecture . . . . . 546--552
Qingjie Yang and
Dan Yang Dihedral groups of automorphisms of
compact Riemann surfaces of genus two 553--559
Guanglong Yu and
Shuguang Guo and
Meiling Xu On the least signless Laplacian
eigenvalue of some graphs . . . . . . . 560--573
Ga\vsper Jakli\vc and
Jolanda Modic On Euclidean distance matrices of graphs 574--589
Bryan Shader Note from Editor-in-Chief . . . . . . . 590--590
Louis Deaett and
Ramiro H. Lafuente-Rodriguez and
Juan Marin, Jr. and
Erin Haller Martin and
Linda J. Patton and
Kathryn Rasmussen and
Rebekah B. Johnson Yates Trace conditions for symmetry of the
numerical range . . . . . . . . . . . . 591--603
Rajendra Bhatia and
Priyanka Grover and
Tanvi Jain Derivatives of tensor powers and their
norms . . . . . . . . . . . . . . . . . 604--619
Colin Garnett and
D. D. Olesky and
Pauline van den Driessche Refined inertias of tree sign patterns 620--635
Xin-guo Liu and
Wei-guo Wang and
Lian-hua Xu Sensitivity analysis for the
multivariate eigenvalue problem . . . . 636--655
Wayne Barrett and
Anne Lazenby and
Nicole Malloy and
Curtis Nelson and
William Sexton and
Ryan Smith and
John Sinckovi\'c and
Tianyi Yang The combinatorial inverse eigenvalue
problems: complete graphs and small
graphs with strict inequality . . . . . 656--672
Bahman Ahmadi and
Fatemeh Alinaghipour and
Michael S. Cavers and
Shaun Fallat and
Karen Meagher and
Shahla Nasserasr Minimum number of distinct eigenvalues
of graphs . . . . . . . . . . . . . . . 673--691
Patricia Mariela Morillas Harmonic reconstruction systems . . . . 692--705
Domingos M. Cardoso and
Enide A. Martins and
Maria Robbiano and
Oscar Rojo Copies of a rooted weighted graph
attached to an arbitrary weighted graph
and applications . . . . . . . . . . . . 706--717
Shuchao Li and
Huihui Zhang and
Minjie Zhang On the spectral moment of graphs with
$K$ cut edges . . . . . . . . . . . . . 718--731
Alberto Seeger Aperture angle analysis for ellipsoids 732--741
Mohsen Kian and
Mohammad Sal Moslehian Refinements of the operator
Jensen--Mercer inequality . . . . . . . 742--753
Bolor Jargalsaikhan Indefinite copositive matrices with
exactly one positive eigenvalue or
exactly one negative eigenvalue . . . . 754--761
Adam Berliner and
Minerva Catral and
Leslie Hogben and
My Huynh and
Kelsey Lied and
Michael Young Minimum rank, maximum nullity, and zero
forcing number of simple digraphs . . . 762--780
A. Dilek Maden and
A. Sinan Cevik Majorization bounds for signless
Laplacian eigenvalues . . . . . . . . . 781--794
N. Eagambaram and
K. Manjunatha Prasad and
K. S. Mohana Column space decomposition and partial
order on matrices . . . . . . . . . . . 795--815
Xiaofei Qi Characterizing Lie ($ \xi $-Lie)
derivations on triangular algebras by
local actions . . . . . . . . . . . . . 816--835
Jiri Rohn A two-matrix alternative . . . . . . . . 836--841
Ze-Jia Xie and
Wen Li and
Xiao-Qing Jin On condition numbers for the canonical
generalized polar decomposition of real
matrices . . . . . . . . . . . . . . . . 842--857
Kai-Liang Lin Hurwitz--Radon's symplectic analogy and
Hua's cyclic recurrence relation . . . . 858--872
Albrecht Böttcher and
Martin Halwass A Newton method for canonical
Wiener--Hopf and spectral factorization
of matrix polynomials . . . . . . . . . 873--897
Moon Ho Lee and
Ferenc Szöll\Hosi A note on inverse-orthogonal Toeplitz
matrices . . . . . . . . . . . . . . . . 898--904
Maria Aguieiras A. de Freitas and
Vladimir Nikiforov and
Laura Patuzzi Maxima of the $Q$-index, Forbidden
$4$-ycle and $5$-cycle . . . . . . . . . 905--916
Andrii Dmytryshyn and
Bo Kågström and
Vladimir V. Sergeichuk Symmetric matrix pencils: codimension
counts and the solution of a pair of
matrix equations . . . . . . . . . . . . 1--18
Xiaogang Liu and
Sanming Zhou Spectral characterizations of propeller
graphs . . . . . . . . . . . . . . . . . 19--38
Clément de Seguins Pazzis Commutators from a hyperplane of
matrices . . . . . . . . . . . . . . . . 39--54
Leiba Rodman Invariant neutral subspaces for
Hamiltonian matrices . . . . . . . . . . 55--99
Xiaowei Li and
Michael Nathanson and
Rachel Phillips Minimum vector rank and complement
critical graphs . . . . . . . . . . . . 100--123
J. H. Fourie and
G. J. Groenwald and
D. B. Janse Van Rensburg and
A. C. M. Ran Real and complex invariant subspaces for
matrices which are $H$-positive real in
an indefinite inner product space . . . 124--145
Vyacheslav Futorny and
Lena Klimenko and
Vladimir V. Sergeichuk Change of the *-congruence canonical
form of $2$-by-$2$ matrices under
perturbations . . . . . . . . . . . . . 146--154
Edward L. Pekarev A note on characterization of the
shorted operation . . . . . . . . . . . 155--161
Michael I. Gil' A bound for condition numbers of
matrices . . . . . . . . . . . . . . . . 162--171
Yorick Hardy On Kronecker Quotients . . . . . . . . . 172--189
Abbas Fakhari and
Ali Golmakani Shadowing property of random linear
cocycles . . . . . . . . . . . . . . . . 190--196
Teo Banica and
Ion Nechita and
Jean-Marc Schlenker Submatrices of Hadamard matrices:
complementation results . . . . . . . . 197--212
Gui-Dong Yu and
Yi-Zheng Fan and
Yi Wang Quadratic forms on graphs with
application to minimizing the least
eigenvalue of signless Laplacian over
bicyclic graphs . . . . . . . . . . . . 213--236
Chaoqian Li and
Baohua Hu and
Yaotang Li Simplifications of the Ostrowski upper
bounds for the spectral radius of
nonnegative matrices . . . . . . . . . . 237--249
Vladimir Nikiforov Maxima of the $Q$-index: degenerate
graphs . . . . . . . . . . . . . . . . . 250--257
Yun Zhang and
Jin Zhong Possible numbers of nonzero entries in a
matrix with a given term rank . . . . . 258--271
Dijana Mosi\'c and
Dragan S. Djordjevi\'c and
Gabriel Kantún-Montiel Image-kernel $ (P, Q) $-inverses in
rings . . . . . . . . . . . . . . . . . 272--283
Sónia Carvalho and
Pedro J. Freitas The $k$-th derivatives of the immanant
and the $ \chi $-symmetric power of an
operator . . . . . . . . . . . . . . . . 284--301
Sónia Carvalho and
Pedro J. Freitas The norm of the $k$-th derivative of the
$ \chi $-symmetric power of an operator 302--316
Antonio J. Calderón Mart\'ìn Graded triangular algebras . . . . . . . 317--331
Vehbi E. Paksoy and
Ramazan Turkmen and
Fuzhen Zhang Inequalities of generalized matrix
functions via tensor products . . . . . 332--341
G. Krishna Kumar and
S. H. Lui On some properties of the pseudospectral
radius . . . . . . . . . . . . . . . . . 342--353
Steve Kirkland On the Kemeny constant and stationary
distribution vector for a Markov chain 354--372
Nathan Reff Spectral properties of oriented
hypergraphs . . . . . . . . . . . . . . 373--391
Dariush Kiani and
Maryam Mirzakhah On the log-concavity of Laplacian
characteristic polynomials of graphs . . 392--406
Julio Ben\'ìtez and
Xiaoji Liu Simultaneous decomposition of two EP
matrices with applications . . . . . . . 407--425
V. Akin and
C. R. Johnson and
S. Nasserasr $ {\rm TP}_K $ completion of partial
matrices with one unspecified entry . . 426--443
Wayne Barrett and
Steve Butler and
Minerva Catral and
Shaun M. Fallat and
H. Tracy Hall and
Leslie Hogben and
Michael Young The maximum nullity of a complete
subdivision graph is equal to its zero
forcing number . . . . . . . . . . . . . 444--457
Cheryl Grood and
Johannes Harmse and
Leslie Hogben and
Thomas J. Hunter and
Bonnie Jacob and
Andrew Klimas and
Sharon McCathern Minimum rank with zero diagonal . . . . 458--477
A. Rivaz and
M. Mohseni Moghadam and
S. Zangoei Zadeh Interval system of matrix equations with
two unknown matrices . . . . . . . . . . 478--488
R. E. Hartwig and
P. Patr\'ìcio Two by two units . . . . . . . . . . . . 489--503
Vladimir Nikiforov and
Xiying Yuan Maxima of the $Q$-index: graphs without
long paths . . . . . . . . . . . . . . . 504--514
Leiba Rodman Hermitian octonion matrices and
numerical ranges . . . . . . . . . . . . 515--533
Vladimir V. Bochkarev and
Eduard Yu. Lerner Strong power and subexponential laws for
an ordered list of trajectories of a
Markov chain . . . . . . . . . . . . . . 534--556
Mandeep Singh Inequalities involving eigenvalues for
difference of operator means . . . . . . 557--568
Xiao Ling Zhang On the distance spectral radius of
unicyclic graphs with perfect matchings 569--587
Mohammad Adm and
Jurgen Garloff Improved tests and characterizations of
totally nonnegative matrices . . . . . . 588--610
Snje\vzana Majstorovi\'c and
Dragan Stevanovi\'c A note on graphs whose largest
eigenvalue of the modularity matrix
equals zero . . . . . . . . . . . . . . 611--618
W. L. Chooi and
K. H. Kwa and
M. H. Lim and
Z. C. Ng Linear spaces and preservers of bounded
rank-two per-symmetric triangular
matrices . . . . . . . . . . . . . . . . 619--651
Jixiang Wan and
Shuangnian Huang and
Qianrong Tan New results on nonsingular power LCM
matrices . . . . . . . . . . . . . . . . 652--669
Huiqiu Lin and
Ruifang Liu and
Jinlong Shu Some results on the largest and least
eigenvalues of graphs . . . . . . . . . 670--682
Ziyan Luo and
Naihua Xiu Exact relaxation for the semidefinite
matrix rank minimization problem with
extended Lyapunov equation constraint 683--691
Shi-Cai Gong and
Xueliang Li and
Guanghui Xu On oriented graphs with minimal skew
energy . . . . . . . . . . . . . . . . . 692--704
Hiroshi Nakazato and
Natalia Bebiano and
Joao da Providencia A note on the convexity of the
indefinite joint numerical range . . . . 705--715
John Greene Traces of Matrix Products . . . . . . . 716--734
Xiao-Wei Xu and
Xiaofei Yi Commuting maps on rank-$k$ matrices . . 735--741
Wayne Barrett and
Curtis G. Nelson and
John Henry Sinkovic and
Tianyi Yang The combinatorial inverse eigenvalue
problem II: all cases for small graphs 742--778
Miriam Farber and
Mitchell Faulk and
Charles R. Johnson and
Evan Marzion Exact results for perturbation to total
positivity and to total nonsingularity 779--797
Erfang Shan and
Hongzhuan Wang and
Liying Kang On the Estrada index of cacti . . . . . 798--808
Aik. Aretaki and
John Maroulas On the rank-$k$ numerical range of
matrices polynomials . . . . . . . . . . 809--820
Minghua Lin A determinantal inequality for positive
semidefinite matrices . . . . . . . . . 821--826
Minghua Lin and
Pauline van den Driessche Positive semidefinite $ 3 \times 3 $
block matrices . . . . . . . . . . . . . 827--836
Felix Goldberg and
Naomi Shaked-Monderer On the maximal angle between copositive
matrices . . . . . . . . . . . . . . . . 837--850
Pawel Kluza and
Marek Niezgoda Inequalities for relative operator
entropies . . . . . . . . . . . . . . . 851--864
Babhru Joshi and
Muddappa S. Gowda Schur ideals and homomorphisms of the
semidefinite cone . . . . . . . . . . . 865--878
Eric Key and
Hans Volkmer A note on the spectral radius of a
product of companion matrices . . . . . 879--881
Benham Hashemi and
Mahtab Mirzaei Khalilabadi and
Hanieh Tavakolipour On the fixed-point type Sylvester matrix
equations over complete commutative
diods . . . . . . . . . . . . . . . . . 882--891
Ibrahim Halil Gumus and
Omar Hirzallah and
Fuad Kittaneh Eigenvalue localization for complex
matrices . . . . . . . . . . . . . . . . 892--906
Chassidy Bozeman and
AnnaVictoria Ellsworth and
Leslie Hogben and
Jephian Chin-Hung Lin and
Gabi Maurer and
Kathleen Nowak and
Aaron Rodriguez and
James Strickland Minimum Rank of Graphs with Loops . . . 907--934
Chi-Kwong Li and
Yiu-Tung Poon and
Xuefeng Wang Ranks and eigenvalues of states with
prescribe reduced states . . . . . . . . 935--950
Peter Butkovic and
Hans Schneider and
Sergei Sergeev On the max-algebraic core of a
nonnegative matrix . . . . . . . . . . . 951--972
Steve Butler and
Jason Grout and
H. Tracy Hall Using variants of zero forcing to bound
the inertia set of a graph . . . . . . . 1--18
J. Cimpric and
J. W. Helton and
S. McCullough and
C. Nelson Real nullstellensatz and *-ideals in
*-algebras . . . . . . . . . . . . . . . 19--50
Yoo Young Koo and
Jae Kun Lim Extension of Bessel sequences to oblique
dual frame sequences and the minimal
projection . . . . . . . . . . . . . . . 51--65