Last update:
Mon Aug 26 16:07:38 MDT 2024
R. F. Clippinger and
B. Dimsdale and
J. H. Levin Automatic Digital Computers in
Industrial Research. I . . . . . . . . . 1--15
A. Hoffman and
M. Mannos and
D. Sokolowsky and
N. Wiegmann Computational Experience in Solving
Linear Programs . . . . . . . . . . . . 17--33
L. A. Zadeh Theory of Filtering . . . . . . . . . . 35--51
L. E. Payne On Axially Symmetric Punch, Crack and
Torsion Problems . . . . . . . . . . . . 53--71
Wade L. Fite Maximization of Return from Limited
Resources . . . . . . . . . . . . . . . 73--90
R. F. Clippinger and
B. Dimsdale and
J. H. Levin Automatic Digital Computers in
Industrial Research, II . . . . . . . . 91--110
M. L. Juncosa and
D. M. Young On the Order of Convergence of Solutions
of a Difference Equation to a Solution
of the Diffusion Equation . . . . . . . 111--135
Max A. Woodbury Linear-Convex Games . . . . . . . . . . 137--142
J. Kampe de Feriet and
S. I. Pai Introduction to the Statistical Theory
of Turbulence. I . . . . . . . . . . . . 1--9
Samuel Goldberg Probability Models in Biology and
Engineering . . . . . . . . . . . . . . 10--19
Milton Abramowitz On the Practical Evaluation of Integrals 20--35
R. F. Clippinger and
B. Dimsdale and
J. H. Levin Automatic Digital Computers in
Industrial Research. III . . . . . . . . 36--56
Garrett Birkhoff Classification of Partial Differential
Equations . . . . . . . . . . . . . . . 57--67
Saul Gorn The Automatic Analysis and Control of
Computing Errors . . . . . . . . . . . . 69--81
R. Bellman and
I. Glicksberg and
O. Gross The Theory of Dynamic Programming as
Applied to a Smoothing Problem . . . . . 82--88
Ralph D. Kodis An Introduction to Variational Methods
in Electromagnetic Scattering . . . . . 89--112
R. F. Clippinger and
B. Dimsdale and
J. H. Levin Automatic Digital Computers in
Industrial Research. IV . . . . . . . . 113--131
George G. O'Brien The Solution of Some Queueing Problems 133--142
J. Kampe de Feriet and
S. I. Pai Introduction to the Statistical Theory
of Turbulence. II . . . . . . . . . . . 143--174
Richard Bellman and
Oliver Gross Some Combinatorial Problems Arising in
the Theory of Multi-Stage Processes . . 175--183
R. F. Clippinger and
B. Dimsdale and
J. H. Levin Automatic Digital Computers in
Industrial Research. V . . . . . . . . . 184--200
Arthur W. Burks and
Robert McNaughton and
Carl H. Pollmar and
Don W. Warren and
Jesse B. Wright Complete Decoding Nets: General Theory
and Minimality . . . . . . . . . . . . . 201--243
J. Kampe de Feriet Introduction to the Statistical Theory
of Turbulence. III . . . . . . . . . . . 244--271
Arthur L. Loeb and
Harry H. Denman The Digital Computer as a Laboratory
Tool: Electronic Digital Computation of
Optical Constants of Thin Metal Films 1--16
A. Erdélyi Asymptotic Representations of Fourier
Integrals and The Method of Stationary
Phase . . . . . . . . . . . . . . . . . 17--27
D. W. Peaceman and
H. H. Rachford, Jr. The Numerical Solution of Parabolic and
Elliptic Differential Equations . . . . 28--41
Jim Douglas, Jr. On the Numerical Integration $ \frac
{\partial^2 u} {\partial x^2} + \frac
{\partial^2 u}{\partial y^2} = \frac
{\partial u} {\partial t} $ by Implicit
Methods . . . . . . . . . . . . . . . . 42--65
A. S. Householder Terminating and Nonterminating
Iterations for Solving Linear Systems 67--72
R. E. Fagen and
John Riordan Queueing Systems for Single and Multiple
Operation . . . . . . . . . . . . . . . 73--79
R. F. Clippinger and
B. Dimsdale and
J. H. Levin Automatic Digital Computers in
Industrial Research. VI . . . . . . . . 80--89
J. Kampe De Feriet and
S. I. Pai Introduction to the Statistical Theory
of Turbulence. IV . . . . . . . . . . . 90--117
Brockway McMillan History of a Problem . . . . . . . . . . 119--128
Richard Bellman A Functional Equation Arising in
Allocation Theory . . . . . . . . . . . 129--132
Richard Bellman Equipment Replacement Policy . . . . . . 133--136
C. R. Putnam Temporal Means and Distribution
Functions . . . . . . . . . . . . . . . 137--141
G. C. K. Yeh and
J. Martinek and
G. S. S. Ludford The Potentials Due to Certain
Singularities in the Presence of a Fixed
Sphere . . . . . . . . . . . . . . . . . 142--152
K. S. Cole and
H. A. Antosiewicz and
P. Rabinowitz Automatic Computation of Nerve
Excitation . . . . . . . . . . . . . . . 153--172
George E. Forsythe Computing Constrained Minima with
Lagrange Multipliers . . . . . . . . . . 173--178
Yudell L. Luke Remarks on the $ \tau $-Method for the
Solution of Linear Differential
Equations with Rational Coefficients . . 179--191
David Middleton and
David van Meter Detection and Extraction of Signals in
Noise from the Point of View of
Statistical Decision Theory. I . . . . . 192--253
Malcolm K. Brachman Notes on the Summation of Series . . . . 254--258
Walter P. Reid A Method for Solving Certain Boundary
Value Problems . . . . . . . . . . . . . 259--261
Andreas Acrivos The Transient Response of Stagewise
Processes . . . . . . . . . . . . . . . 1--19
Jim Douglas, Jr. On the Relation Between Stability and
Convergence in the Numerical Solution of
Linear Parabolic and Hyperbolic
Differential Equations . . . . . . . . . 20--37
A. Erdélyi Asymptotic Expansions of Fourier
Integrals Involving Logarithmic
Singularities . . . . . . . . . . . . . 38--47
Richard Bellman A Variational Problem With Constraints
in Dynamic Programming . . . . . . . . . 48--61
E. Stiefel On Solving Fredholm Integral Equations:
Applications to Conformal Mapping and
Variational Problems of Potential Theory 63--85
David Middleton and
David van Meter Detection and Extraction of Signals in
Noise from the Point of View of
Statistical Decision Theory. II . . . . 86--119
Andreas Acrivos The Transient Response of Stagewise
Processes . . . . . . . . . . . . . . . 120--130
Julius Bendat A General Theory of Linear Prediction
and Filtering . . . . . . . . . . . . . 131--151
Harvey Cohn Some Applied Number Theory . . . . . . . 152--167
Richard Bellman Mathematical Aspects of Scheduling
Theory . . . . . . . . . . . . . . . . . 168--205
Irene A. Stegun and
Milton Abramowitz Pitfalls in Computation . . . . . . . . 207--219
R. J. Arms and
L. D. Gates and
B. Zondek A Method of Block Iteration . . . . . . 220--229
Eric Reissner A Note on Membrane and Bending Stresses
in Spherical Shells . . . . . . . . . . 230--240
Elliot W. Montroll Random Walks in Multidimensional Spaces,
Especially on Periodic Lattices . . . . 241--260
Stewart Schlesinger Approximating Eigenvalues and
Eigenfunctions of Symmetric Kernels . . 1--14
John P. Vinti and
Tadeusz Leser The Sums of Certain Series Involving
Bessel Functions . . . . . . . . . . . . 15--31
James Munkres Algorithms for the Assignment and
Transportation Problems . . . . . . . . 32--38
Richard S. Varga A Comparison of the Successive
Overrelaxation Method and Semi-Iterative
Methods Using Chebyshev Polynomials . . 39--46
M. Z. V. Krzywoblocki and
H. A. Hassan Generalization of Bergman's Linear
Integral Operator Method to Diabatic
Flow . . . . . . . . . . . . . . . . . . 47--65
William H. Peirce Numerical Integration Over the Planar
Annulus . . . . . . . . . . . . . . . . 66--73
George E. Forsythe Generation and Use of Orthogonal
Polynomials for Data-Fitting with a
Digital Computer . . . . . . . . . . . . 74--88
C. L. Dolph A Saddle Point Characterization of the
Schwinger Stationary Points in Exterior
Scattering Problems . . . . . . . . . . 89--104
J. Kiefer Optimum Sequential Search and
Approximation Methods Under Minimum
Regularity Assumptions . . . . . . . . . 105--136
T. N. E. Greville On Smoothing a Finite Table: A Matrix
Approach . . . . . . . . . . . . . . . . 137--154
Alston S. Householder A Survey of Some Closed Methods for
Inverting Matrices . . . . . . . . . . . 155--169
L. E. Payne and
H. F. Weinberger Lower Bounds for Vibration Frequencies
of Elastically Supported Membranes and
Plates . . . . . . . . . . . . . . . . . 171--182
A. R. Sims Certain Aspects of the Inverse
Scattering Problem . . . . . . . . . . . 183--205
WM. M. Brown Analysis of Discrete Linear Systems . . 206--224
John Riordan The Combinatorial Significance of a
Theorem of Polya . . . . . . . . . . . . 225--237
J. Heller Ordering Properties of Linear Successive
Iteration Schemes Applied to
Multi-Diagonal Type Linear Systems . . . 238--243
L. Lorne Campbell On the Use of Hermite Expansions in
Noise Problems . . . . . . . . . . . . . 244--249
Alfred Brauer A Method for the Computation of the
Greatest Root of a Positive Matrix . . . 250--253
Herbert E. Salzer Note on Multivariate Interpolation for
Unequally Spaced Arguments, with an
Application to Double Summation . . . . 254--262
R. E. Fagen and
T. A. Lehrer Random Walks with Restraining Barrier as
Applied to the Biased Binary Counter . . 1--14
James E. Kelley, Jr. An Application of Linear Programming to
Curve Fitting . . . . . . . . . . . . . 15--22
B. Dimsdale The Non-Convergence of a Characteristic
Root Method . . . . . . . . . . . . . . 23--25
Wallace Givens Computation of Plane Unitary Rotations
Transforming a General Matrix to
Triangular Form . . . . . . . . . . . . 26--50
Magnus R. Hestenes Inversion of Matrices by
Biorthogonalization and Related Results 51--90
C. Lanczos Iterative Solution of Large-Scale Linear
Systems . . . . . . . . . . . . . . . . 91--109
H. Wittmeyer A New Method for Developing Simple
Formulae for the Eigenvalues of Linear
Ordinary Self-Adjoint Differential
Equations . . . . . . . . . . . . . . . 111--143
Peter Henrici On the Speed of Convergence of Cyclic
and Quasicyclic Jacobi Methods for
Computing Eigenvalues of Hermitian
Matrices . . . . . . . . . . . . . . . . 144--162
Ivin Tarnove Determination of Eigenvalues of Matrices
Having Polynomial Elements . . . . . . . 163--171
Robert L. Causey Computing Eigenvalues of Non-Hermitian
Matrices by Methods of Jacobi Type . . . 172--181
Robert T. Gregory Results Using Lanczos' Method for
Finding Eigenvalues of Arbitrary
Matrices . . . . . . . . . . . . . . . . 182--188
Alston S. Householder A Class of Methods for Inverting
Matrices . . . . . . . . . . . . . . . . 189--195
K. S. Cole and
H. A. Antosiewicz and
P. Rabinowitz Automatic Computation of Nerve
Excitation, Correction . . . . . . . . . 196--197
Manfred Kochen A Mathematical Formulation of Influence
Distributions in Decision-Making Groups 199--208
Hubertus J. Weinitschke On the Nonlinear Theory of Shallow
Spherical Shells . . . . . . . . . . . . 209--232
Ward Cheney and
Allen A. Goldstein Note on a Paper by Zuhovicki\uì
Concerning the Tchebycheff Problem for
Linear Equations: [``An Algorithm for
the Solution of the Çeby\vsev
Approximation Problem in the Case of a
Finite System of Incompatible Linear
Equations'', Doklady Akad. Nauk SSSR
(N.S.), \bf 79 (1951), pp, 561--564;
Math. Rev. \bf 13 (1952), p. 285] . . . 233--239
T. F. Bridgland, Jr. A Note on Numerical Integrating
Operators . . . . . . . . . . . . . . . 240--256
R. Sherman Lehman and
George H. Weiss A Study of the Restricted Random Walk 257--278
Elmer E. Osborne On Acceleration and Matrix Deflation
Processes Used with the Power Method . . 279--287
Henry C. Thacher, Jr. Generalization of Concepts Related to
Linear Dependence . . . . . . . . . . . 288--299
G. Whaples A Note on Degree-$n$ Independence . . . 300--301
Alexei Maradudin and
George H. Weiss The Disordered Lattice Problem: A Review 302--319
Murray Gerstenhaber A Solution Method for the Transportation
Problem . . . . . . . . . . . . . . . . 321--334
K. G. Guderley On Nonlinear Eigenvalue Problems for
Matrices . . . . . . . . . . . . . . . . 335--353
Garrett Birkhoff and
Richard S. Varga Reactor Criticality and Nonnegative
Matrices . . . . . . . . . . . . . . . . 354--377
Werner L. Frank Computing Eigenvalues of Complex
Matrices by Determinant Evaluation and
by Methods of Danilewski and Wielandt 378--392
Paul A. White The Computation of Eigenvalues and
Eigenvectors of a Matrix . . . . . . . . 393--437
W. F. Bauer The Monte Carlo Method . . . . . . . . . 438--451
Herbert B. Keller Approximate Solutions of Transport
Problems --- Part I: Steady-State,
Elastic Scattering in Plane and
Spherical Geometry . . . . . . . . . . . 452--465
Morris Newman and
John Todd The Evaluation of Matrix Inversion
Programs . . . . . . . . . . . . . . . . 466--476
Zdzislaw Pawlak Decoding Nets and the Theory of Graphs 1--5
Roy Leipnik Integral Equations, Biorthonormal
Expansions, and Noise . . . . . . . . . 6--30
Neal Zierler Linear Recurring Sequences . . . . . . . 31--48
H. F. Weinberger Error Bounds in Finite-Difference
Approximation to Solutions of Symmetric
Hyperbolic Systems . . . . . . . . . . . 49--75
Emil Grosswald Transformations Useful in Numerical
Integration Methods . . . . . . . . . . 76--84
F. Edward Ehlers The Method of Characteristics for
Isoenergetic Supersonic Flows Adapted to
High-Speed Digital Computers . . . . . . 85--100
C. R. Putnam On the Stability Intervals of the Hill
Equation . . . . . . . . . . . . . . . . 101--106
F. L. Bauer Sequential Reduction to Tridiagonal Form 107--113
Hartley Rogers, Jr. The Present Theory of Turing Machine
Computability . . . . . . . . . . . . . 114--130
Morris Weisfeld A Remark on a Paper of R. T. Gregory . . 131--131
J. R. Rice On the Convergence of an Algorithm for
Best Tchebycheff Approximations . . . . 133--142
George A. Baker, Jr. A New Derivation of Newton's Identities
and their Application to the Calculation
of the Eigenvalues of a Matrix . . . . . 143--148
Herbert S. Wilf Matrix Inversion by the Annihilation of
Rank . . . . . . . . . . . . . . . . . . 149--151
P. Swerling Parameter Estimation for Waveforms in
Additive Gaussian Noise . . . . . . . . 152--166
Milton Lees Approximate Solutions of Parabolic
Equations . . . . . . . . . . . . . . . 167--183
William F. Trench On an Explicit Method for the Solution
of a Stefan Problem . . . . . . . . . . 184--204
Marvin Blum and
Hirsch Gottschalk On the Bias Errors of Least Squares
Digital Filters . . . . . . . . . . . . 205--214
John V. Breakwell The Optimization of Trajectories . . . . 215--247
A. Erdélyi Introductory Statement . . . . . . . . . 249--252
J. G. van der Corput Neutrices . . . . . . . . . . . . . . . 253--279
B. Friedman Stationary Phase with Neighboring
Critical Points . . . . . . . . . . . . 280--289
T. E. Hull On Some Integral Equations with
Unbounded Eigenvalues . . . . . . . . . 290--297
Rudolph E. Langer Asymptotic Theories for Linear Ordinary
Differential Equations Depending Upon a
Parameter . . . . . . . . . . . . . . . 298--305
F. W. J. Olver Linear differential equations of the
second order with a large parameter . . 306--310
H. L. Turrittin and
W. A. Harris, Jr. Standardization and Simplification of
Systems of Linear Differential Equations
Involving a Turning Point . . . . . . . 316--324
Max Wyman The Asymptotic Behavior of the Laurent
Coefficients . . . . . . . . . . . . . . 325--342
Garrett Birkhoff and
Richard S. Varga Errata: ``Reactor Criticality and
Nonnegative Matrices'' [J. SIAM \bf 6
(1958), no. 4, 354--377] . . . . . . . . 343--343
Herbert E. Salzer Best Approximation of Mixed Type . . . . 345--360
S. D. Conte and
J. W. Miles On the Numerical Integration of the
Orr--Sommerfeld Equation . . . . . . . . 361--366
Czerna Flanagan and
J. E. Maxfield Estimates of the Roots of Certain
Polynomials . . . . . . . . . . . . . . 367--373
ULF Grenander and
H. O. Pollak and
D. Slepian The Distribution of Quadratic Forms in
Normal Variates: A Small Sample Theory
with Applications to Spectral Analysis 374--401
T. E. Hull and
A. C. R. Newbery Error Bounds for a Family of Three-Point
Integration Procedures . . . . . . . . . 402--412
E. N. Gilbert Optimal Search Strategies . . . . . . . 413--424
J. R. M. Radok Method of Functional Extrapolation for
the Numerical Integration of Ordinary
Differential Equations . . . . . . . . . 425--430
T. F. Bridgland, Jr. A Linear Algebraic Formulation of the
Theory of Sampled-Data Control . . . . . 431--446
R. Fitzhugh and
H. A. Antosiewicz Automatic Computation of Nerve
Excitation --- Detailed Corrections and
Additions . . . . . . . . . . . . . . . 447--458
C. M. Ablow and
C. L. Perry Iterative Solutions of the Dirichlet
Problem for $ {\Delta } u = u^2 $ . . . 459--467
K. T. Chang On the Numerical Solution of
Simultaneous Linear Differential
Equations . . . . . . . . . . . . . . . 468--472
R. H. Boyer An Integro-Differential Equation for a
Markov Process . . . . . . . . . . . . . 473--486
Sheldon B. Akers, Jr. On a Theory of Boolean Functions . . . . 487--498
Friedrich L. Bauer The $g$-Algorithm . . . . . . . . . . . 1--17
Herbert E. Salzer Hermite's General Osculatory
Interpolation Formula and a Finite
Difference Analogue . . . . . . . . . . 18--27
J. L. Brown, Jr. Mean Square Truncation Error in Series
Expansions of Random Functions . . . . . 28--32
Henry C. Thacher, Jr. and
W. E. Milne Interpolation in Several Variables . . . 33--42
Herbert B. Keller Approximate Solutions of Transport
Problems. II. Convergence and
Applications of the Discrete Ordinate
Method . . . . . . . . . . . . . . . . . 43--73
K. W. Blair and
W. S. Loud Periodic Solutions of $ x'' + c x' +
g(x) = E f(t) $ Under Variation of
Certain Parameters . . . . . . . . . . . 74--101
Roger L. Boyell Analysis of Time-Sharing in Digital
Computers . . . . . . . . . . . . . . . 102--124
R. F. Drenick Mathematical Aspects of the Reliability
Problem . . . . . . . . . . . . . . . . 125--149
J. Heller Simultaneous, Successive and Alternating
Direction Iteration Schemes . . . . . . 150--173
Selmo Tauber and
Donald Dean On Difference Equations Containing Step
and Delta Functions . . . . . . . . . . 174--180
J. B. Rosen The Gradient Projection Method for
Nonlinear Programming. Part I. Linear
Constraints . . . . . . . . . . . . . . 181--217
B. Dimsdale Characteristic Roots of a Matric
Polynomial . . . . . . . . . . . . . . . 218--223
Harold S. Shapiro and
Richard A. Silverman Alias-Free Sampling of Random Noise . . 225--248
J. A. Lewis and
T. D. Riney Temperature Rise in an Infinite Medium
Heated by a Planar Source . . . . . . . 249--271
Philip M. Anselone Persistence of an Effect of a Success in
a Bernoulli Sequence . . . . . . . . . . 272--279
Kenneth J. Arrow and
Leonid Hurwicz Stability of the Gradient Process in
$n$-Person Games . . . . . . . . . . . . 280--294
Lionel Weiss A Test of Fit Based on the Largest
Sample Spacing . . . . . . . . . . . . . 295--299
I. S. Reed and
G. Solomon Polynomial Codes Over Certain Finite
Fields . . . . . . . . . . . . . . . . . 300--304
Raimond A. Struble Differentiation of Singular Integrals of
Cauchy Type . . . . . . . . . . . . . . 305--308
E. J. Kelly and
I. S. Reed and
W. L. Root The Detection of Radar Echoes in Noise 309--341
Charles E. Stewart On the Numerical Evaluation of Singular
Integrals of Cauchy Type . . . . . . . . 342--353
Glenn M. Roe An Accurate Method for Terminating
Asymptotic Series . . . . . . . . . . . 354--367
Stanley Katz A Stochastic Model for Emulsion
Polymerization . . . . . . . . . . . . . 368--375
S. Parter On the Eigenvalues and Eigenvectors of a
Class of Matrices . . . . . . . . . . . 376--388
M. W. Johnson and
E. Reissner Parametric Expansions for a Class of
Boundary Value Problems of Partial
Differential Equations . . . . . . . . . 389--396
Harlan Mills Equilibrium Points in Finite Games . . . 397--402
E. L. Wachspress and
G. J. Habetler An Alternating-Direction-Implicit
Iteration Technique . . . . . . . . . . 403--424
Stuart E. Dreyfus A Generalized Equipment Replacement
Study . . . . . . . . . . . . . . . . . 425--435
Wilbur T. McKinney Matrix Equations for the Determination
of Beam Natural Frequencies . . . . . . 436--457
Henry L. Loeb Algorithms for Chebyshev Approximations
Using the Ratio of Linear Forms . . . . 458--465
Frank W. Sinden The Replacement and Expansion of Durable
Equipment . . . . . . . . . . . . . . . 466--480
E. J. Kelly and
I. S. Reed and
W. L. Root The Detection of Radar Echoes in Noise 481--507
Burton Wendroff On the Convergence of the Discrete
Ordinate Method . . . . . . . . . . . . 508--513
M. Gerstenhaber A Procedure for Finding a Zero of a
Vector-Valued Function with Certain
Monotonicity Properties . . . . . . . . 514--517
Milton Lees The Goursat Problem . . . . . . . . . . 518--530
T. F. Bridgland, Jr. A Note on Numerical Integrating
Operators. II . . . . . . . . . . . . . 531--536
Herbert S. Wilf Maximally Stable Numerical Integration 537--540
J. N. Franklin The Range of a Fleet of Aircraft . . . . 541--548
Burton Wendroff On Centered Difference Equations for
Hyperbolic Systems . . . . . . . . . . . 549--555
John T. Moore An Extension of an Early Result of
Stieltjes . . . . . . . . . . . . . . . 557--559
Herbert B. Keller On the Pointwise Convergence of the
Discrete-Ordinate Method . . . . . . . . 560--567
L. M. Rauch and
W. C. Riddell The Iterative Solutions of the
Analytical $ {N}$-Body Problem . . . . . 568--581
Richard Bellman and
Robert Kalaba On $k$ th Best Policies . . . . . . . . 582--588
R. Sedney and
N. Gerber and
J. M. Bartos Numerical Determination of Streamlines
from Density Data . . . . . . . . . . . 589--610
Samuel Karlin Optimal Policy for Dynamic Inventory
Process with Stochastic Demands Subject
to Seasonal Variations . . . . . . . . . 611--629
J. Ernest Wilkins, Jr. Minimum-Mass Thin Fins which Transfer
Heat Only by Radiation to Surroundings
at Absolute Zero . . . . . . . . . . . . 630--639
G. E. Albert Statistical Methods in Prediction,
Filtering, and Detection Problems . . . 640--653
R. Bruce Kellogg and
L. C. Noderer Scaled Iterations and Linear Equations 654--661
Frederick J. Beutler Approximations to Wiener Optimum Filters
and Predictors . . . . . . . . . . . . . 662--679
R. F. Drenick The Failure Law of Complex Equipment . . 680--690
John R. Rice Chebyshev Approximation by $^\ast a b^x
+ c$ . . . . . . . . . . . . . . . . . . 691--702
J. E. Kelley, Jr. The Cutting-Plane Method for Solving
Convex Programs . . . . . . . . . . . . 703--712
C. E. Lemke The Constrained Gradient Method of
Linear Programming . . . . . . . . . . . 1--17
D. R. Fulkerson An Out-of-Kilter Method for Minimal-Cost
Flow Problems . . . . . . . . . . . . . 18--27
D. D. Morrison The Deflation of Eigenvalue Problems
with Second-Order Ordinary Differential
Operators . . . . . . . . . . . . . . . 28--30
T. E. Hull and
A. C. R. Newbery Integration Procedures which Minimize
Propagated Errors . . . . . . . . . . . 31--47
Isidore Fleischer Numerical Representation of Utility . . 48--50
W. S. Dorn Self-Dual Quadratic Programs . . . . . . 51--54
James G. Jewell Ordering Systems of Equations . . . . . 55--71
M. L. Balinski An Algorithm for Finding All Vertices of
Convex Polyhedral Sets . . . . . . . . . 72--88
A. S. Householder On Deflating Matrices . . . . . . . . . 89--93
William Squire Some Applications of Quadrature by
Differentiation . . . . . . . . . . . . 94--108
T. N. E. Greville Note on Fitting of Functions of Several
Independent Variables . . . . . . . . . 109--115
B. R. Myers Two Theorems in Multi-Weighted Sums . . 116--126
Carl A. Rouse A Method for the Numerical Calculation
of Hydrodynamic Flow and Radiation
Diffusion by Implicit Differencing . . . 127--135
E. M. Wright Stability Criteria and the Real Roots of
a Transcendental Equation . . . . . . . 136--148
Louis W. Ehrlich and
James D. Riley and
W. Gilbert Strang and
B. Andreas Troesch Finite-Difference Techniques for a
Boundary Problem with an Eigenvalue in a
Boundary Condition . . . . . . . . . . . 149--164
James Lucien Howland and
Remi Vaillancourt A Generalized Curve-Fitting Procedure 165--168
Herbert B. Rosenstock Random Walks with Spontaneous Emission 169--188
Fred J. Bellar, Jr. An Iterative Solution of Large-Scale
Systems of Simultaneous Linear Equations 189--193
J. Ernest Wilkins, Jr. Minimum Mass Thin Fins with Specified
Minimum Thickness . . . . . . . . . . . 194--206
Daniel Gorenstein and
Neal Zierler A Class of Error-Correcting Codes in $
p^m $ Symbols . . . . . . . . . . . . . 207--214
Nelson Wax On a Phase Method for Treating
Sturm--Liouville Equations and Problems 215--232
J. Ponstein Matrix Description of Networks . . . . . 233--268
Paul B. Richards Representation by Vortex-Like
Singularities of Obstacle Flow in a
Straight Channel . . . . . . . . . . . . 269--281
Herbert E. Salzer An Interpolation Formula for
``Nearly-Odd'' Functions, with an
Application to the Summation of Even
Functions . . . . . . . . . . . . . . . 282--287
L. B. Rall Newton's Method for the Characteristic
Value Problem $ A x = \lambda B x $ . . 288--293
T. O'Callaghan The Design of a Computer Program to
Determine the Natural Frequencies and
Normal Modes of Vibration of an In-Line
Mechanical System of Springs and Masses 294--310
Arthur Wouk On Optimum Utilization of Faulty
Channels . . . . . . . . . . . . . . . . 311--316
T. N. E. Greville Erratum: ``Note on Fitting Functions of
Several Independent Variables'' [J. SIAM
\bf 9 (1961), no. 1, 109--115] . . . . . 317--317
John B. Butler, Jr. On the Perturbation Series Solution for
the Deflection of a Semi-Infinite
Vibrating Bar on an Elastic Foundation 319--333
Wallace E. Parr Upper and Lower Bounds for the
Capacitance of the Regular Solids . . . 334--386
Manus Foster An Application of the Wiener-Kolmogorov
Smoothing Theory to Matrix Inversion . . 387--392
John T. Moore Note on Asymptotic Expansions of
Modified Bessel Functions . . . . . . . 393--394
S. Corrsin and
O. M. Phillips Contour Length and Surface Area of
Multiple-Valued Random Variables . . . . 395--404
William F. Trench A General Class of Discrete
Time-Invariant Filters . . . . . . . . . 405--421
Z. A. Melzak Plane Motion with Curvature Limitations 422--432
Jim Douglas, Jr. On Incomplete Iteration for Implicit
Parabolic Difference Equations . . . . . 433--439
Gerald Berman A Generalization of Nyquist's Criterion
to the Stability of Active Linear
Systems . . . . . . . . . . . . . . . . 440--454
Yih-O Tu and
George Handelman Lateral Vibrations of a Beam Under
Initial Linear Axial Stress . . . . . . 455--473
A. Van Gelder and
E. Beltram and
H. Munick On Minimum-Time Minimum-Fuel Rendezvous 474--480
Philip Wolfe Accelerating the Cutting Plane Method
for Nonlinear Programming . . . . . . . 481--488
Frederick J. Beutler Errata: ``Approximations to Wiener
Optimum Filters and Predictors'' [J.
SIAM \bf 8 (1960), no. 4, 662--679] . . 488--488
Lionel Weiss Erratum: ``A Test of Fit Based on the
Largest Sample Spacing'' [J. SIAM \bf 8
(1960), no. 2, 295--299] . . . . . . . . 488--488
G. D. Galletly and
W. T. Kyner and
C. E. Moller Numerical Methods and the Bending of
Ellipsoidal Shells . . . . . . . . . . . 489--513
J. B. Rosen The Gradient Projection Method for
Nonlinear Programming. Part II.
Nonlinear Constraints . . . . . . . . . 514--532
E. N. Gilbert Random Plane Networks . . . . . . . . . 533--543
Robert J. Aumann Almost Strictly Competitive Games . . . 544--550
R. E. Gomory and
T. C. Hu Multi-Terminal Network Flows . . . . . . 551--570
John R. Rice Algorithms for Chebyshev Approximation
by $ a b^x + c $ . . . . . . . . . . . . 571--583
Max A. Heaslet and
Alberta Alksne Diffusion from a Fixed Surface with a
Concentration-Dependent Coefficient . . 584--596
Arthur Wouk On Digit Distributions for Random
Variables . . . . . . . . . . . . . . . 597--603
I. B. Pyne and
E. J. McCluskey, Jr. An Essay on Prime Implicant Tables . . . 604--631
S. N. N. Pandit A New Matrix Calculus . . . . . . . . . 632--639
Olga Taussky A Generalization of a Theorem of
Lyapunov . . . . . . . . . . . . . . . . 640--643
Allan M. Krall An Extension and Proof of the Root-Locus
Method . . . . . . . . . . . . . . . . . 644--653
H. F. Mattson and
G. Solomon A New Treatment of Bose-Chaudhuri Codes 654--669
T. J. Rivlin and
H. S. Shapiro A Unified Approach to Certain Problems
of Approximation and Minimization . . . 670--699
F. J. Bureau and
E. J. Pellicciaro Asymptotic Behavior of the Spectral
Matrix of the Operator of Elasticity . . 1--18
Chen-Ya Liu A Variational Problem with Applications
to Cooling Fins . . . . . . . . . . . . 19--29
Hans J. Maehly Numerical Solution of a Certain
Transcendental Equation Involving
Exponentials (A Remark on a Paper of J.
R. Rice) . . . . . . . . . . . . . . . . 30--34
A. C. Williams A Treatment of Transportation Problems
by Decomposition . . . . . . . . . . . . 35--48
Thomas P. Mitchell and
Daniel L. Pope On the Relativistic Damped Oscillator 49--61
J. Ernest Wilkins, Jr. Minimum-Mass Thin Fins and Constant
Temperature Gradients . . . . . . . . . 62--73
P. J. Eberlein A Jacobi-like Method for the Automatic
Computation of Eigenvalues and
Eigenvectors of an Arbitrary Matrix . . 74--88
W. Freiberger and
M. Rosenblatt and
J. Van Ness Regression Analysis of Vector-Valued
Random Processes . . . . . . . . . . . . 89--102
R. H. Crowell Graphs of Linear Transformations over
Finite Fields . . . . . . . . . . . . . 103--112
Joel Max Signal Sets with Uniform Correlation
Properties . . . . . . . . . . . . . . . 113--118
R. J. Duffin Dual Programs and Minimum Cost . . . . . 119--123
Tse-Sun Chow and
Harold Willis Milnes Numerical Solution of a Class of
Hyperbolic-Parabolic Partial
Differential Equations by Boundary
Contraction . . . . . . . . . . . . . . 124--148
John R. Rice Chebyshev Approximation by Exponentials 149--161
J. H. Wilkinson Error Analysis of Eigenvalue Techniques
Based on Orthogonal Transformations . . 162--195
Michael Held and
Richard M. Karp A Dynamic Programming Approach to
Sequencing Problems . . . . . . . . . . 196--210
Clifford W. Marshall Double Correspondence Graphs . . . . . . 211--227
L. B. Rall Errata: ``Newton's Method for the
Characteristic Value Problem $ A x =
\lambda B x $'' [J. SIAM \bf 9 (1961),
no. 2, 288-293] . . . . . . . . . . . . 228--228
Vidar Thomee A Stable Difference Scheme for the Mixed
Boundary Problem for a Hyperbolic,
First-Order System in Two Dimensions . . 229--245
Herbert B. Keller and
Joseph B. Keller Exponential-like Solutions of Systems of
Linear Ordinary Differential Equations 246--259
R. E. Gomory and
T. C. Hu An Application of Generalized Linear
Programming to Network Flows . . . . . . 260--283
Robert M. Baer and
Paul Brock Natural Sorting . . . . . . . . . . . . 284--304
P. C. Gilmore Optimal and Suboptimal Algorithms for
the Quadratic Assignment Problem . . . . 305--313
Raimond A. Struble and
John E. Fletcher General Perturbational Solution of the
Mathieu Equation . . . . . . . . . . . . 314--328
Elmer E. Osborne Computations of Bending Modes and Mode
Shapes of Single and Double Beams . . . 329--338
E. L. Wachspress Optimum Alternating-Direction-Implicit
Iteration Parameters for a Model Problem 339--350
T. E. Hull and
A. C. R. Newbery Corrector Formulas for Multi-Step
Integration Methods . . . . . . . . . . 351--369
J. H. Bramble and
L. E. Payne Bounds for Derivatives in the Dirichlet
Problem for Poisson's Equation . . . . . 370--380
Worthie Doyle and
J. A. McFadden and
Imanuel Marx The Distribution of a Certain Nonlinear
Functional of an Ornstein--Uhlenbeck
Process . . . . . . . . . . . . . . . . 381--393
P. J. Eberlein Errata: ``A Jacobi-like Method for the
Automatic Computation of Eigenvalues and
Eigenvectors'' [J. SIAM \bf 9 (1961),
no. 2, 288-293] . . . . . . . . . . . . 393--393
J. A. Bather Optimal Regulation Policies for Finite
Dams . . . . . . . . . . . . . . . . . . 395--423
Harvey Greenfield Use of the Stodola Iteration Process in
a Sturm--Liouville Type Problem with
Variable Coefficients . . . . . . . . . 424--441
Norman Levinson Emission Probability in a Random Walk 442--447
Dale F. Rudd On Optimal Resource Allocation in
Multistage Feedback Processes . . . . . 448--453
Eugene J. Putzer The Rate of Growth of Solutions of a
Second-Order Differential Equation . . . 454--468
Y. Fu and
S. S. Yau A Note on the Reliability of
Communication Networks . . . . . . . . . 469--474
Robert R. Brown Numerical Solution of Boundary Value
Problems Using Nonuniform Grids . . . . 475--495
S. L. Hakimi On Realizability of a Set of Integers as
Degrees of the Vertices of a Linear
Graph. I . . . . . . . . . . . . . . . . 496--506
E. Wong and
J. B. Thomas On Polynomial Expansions of Second-Order
Distributions . . . . . . . . . . . . . 507--516
Chester L. Miracle Approximate Solutions of the
Telegrapher's Equation by
Difference-Equation Methods . . . . . . 517--527
J. W. Blattner Bordered Matrices . . . . . . . . . . . 528--536
M. Rosenblatt and
D. Slepian $ {N} $ th Order Markov Chains with
Every $ {N} $ Variables Independent . . 537--549
Richard Bellman and
William Karush Mathematical Programming and the Maximum
Transform . . . . . . . . . . . . . . . 550--567
Herbert B. Rosenstock Errata: ``Random Walks with Spontaneous
Emission'' [J. SIAM \bf 9 (1961), no. 2,
169--188] . . . . . . . . . . . . . . . 567--567
Daniel F. de Santo and
Herbert B. Keller Numerical Studies of Transition from
Laminar to Turbulent Flow Over a Flat
Plate . . . . . . . . . . . . . . . . . 569--595
Edward L. Reiss Symmetric Bending of Thick Circular
Plates . . . . . . . . . . . . . . . . . 596--609
Milton Lees Alternating Direction Methods for
Hyperbolic Differential Equations . . . 610--616
Susie E. Atta and
John A. Harvey Numerical Estimation of Neutron
Resonance Parameters . . . . . . . . . . 617--631
Marian S. Cord and
Richard J. Sylvester The Property of Cross-Symmetry . . . . . 632--637
E. E. Jones Some Solutions of an Internal-External
Problem of the Third Type for a Circle 638--656
Van A. McAuley A Method for the Real and Complex Roots
of a Polynomial . . . . . . . . . . . . 657--667
Walter P. Reid Free Vibrations of a Circular Plate . . 668--674
W. V. Petryshyn The Generalized Overrelaxation Method
for the Approximate Solution of Operator
Equations in Hilbert Space . . . . . . . 675--690
Lajos Takacs A Combinatorial Method in the Theory of
Queues . . . . . . . . . . . . . . . . . 691--694
C. L. Tang On the Radiation Pattern of a
Base-Driven Antenna Over a Circular
Conducting Screen . . . . . . . . . . . 695--708
J. H. Curtiss Interpolation by Harmonic Polynomials 709--736
Shiing-Shen Chern Geometry of a Quadratic Differential
Form . . . . . . . . . . . . . . . . . . 751--755
G. C. McVittie The Cosmical Constant and the Time-Scale 756--767
Jon Mathews Gravitational Multipole Radiation . . . 768--780
Allan Sandage Observational Tests of World Models . . 781--794
L. I. Schiff General Relativity: Theory and
Experiment . . . . . . . . . . . . . . . 795--801
Alan G. Konheim A Geometric Convergence Theorem for The
Perceptron . . . . . . . . . . . . . . . 1--14
J. R. Rice Approximation with Convex Constraints 15--32
J. A. Bather The Optimal Regulation of Dams in
Continuous Time . . . . . . . . . . . . 33--63
Richard E. Barlow and
Larry C. Hunter and
Frank Proschan Optimum Redundancy When Components are
Subject to Two Kinds of Failure . . . . 64--73
Jeremy J. Stone Multiple-Burst Error Correction with the
Chinese Remainder Theorem . . . . . . . 74--81
A. C. Williams Marginal Values in Linear Programming 82--94
J. H. Ahlberg and
E. N. Nilson Convergence Properties of the Spline Fit 95--104
A. Erdélyi Singular Perturbations of Boundary Value
Problems Involving Ordinary Differential
Equations . . . . . . . . . . . . . . . 105--116
Gerald Berman and
C. H. Cook Determination of the Stable States of
Active Linear Systems with $n$
Parameters . . . . . . . . . . . . . . . 117--134
S. L. Hakimi On Realizability of a Set of Integers as
Degrees of the Vertices of a Linear
Graph II. Uniqueness . . . . . . . . . . 135--147
Albert L. Ruiz Unstable Characteristics of a Class of
Functions Defined by a Linear
Differential Equation with Periodic
Coefficients . . . . . . . . . . . . . . 148--158
Carl de Boor and
John R. Rice Chebyshev Approximation by $ a \prod
\frac {x - r_i}{x + s_i} $ and
Application to Adi Iteration . . . . . . 159--169
K. G. Guderley and
Mary D. Lum On the Evaluation of Strongly Enlarged
Photographs . . . . . . . . . . . . . . 170--182
A. L. Dulmage and
N. S. Mendelsohn Two Algorithms for Bipartite Graphs . . 183--194
Jim Douglas, Jr. and
B. F. Jones, Jr. On Predictor-Corrector Methods for
Nonlinear Parabolic Differential
Equations . . . . . . . . . . . . . . . 195--204
Philip Wolfe A Technique for Resolving Degeneracy in
Linear Programming . . . . . . . . . . . 205--211
E. W. Samson and
L. Calabi On the Theory of Boolean Formulas:
Minimal Including Sums, I . . . . . . . 212--223
E. W. Samson and
L. Calabi On the Theory of Boolean Formulas:
Minimal Including Sums, II . . . . . . . 224--234
E. J. Kelly and
D. H. Lyons and
W. L. Root The Sensitivity of Radiometric
Measurements . . . . . . . . . . . . . . 235--257
B. Kent Harrison A Discussion of Some Mathematical
Techniques Used in Kron's Method of
Tearing . . . . . . . . . . . . . . . . 258--280
Peter Henrici Bounds for Eigenvalues of Certain
Tridiagonal Matrices . . . . . . . . . . 281--290
Richard M. Karp Functional Decomposition and Switching
Circuit Design . . . . . . . . . . . . . 291--335
J. P. Imhof Remarks on Quadrature Formulas . . . . . 336--341
Michael I. Aissen Quasi-Dimensional Analysis and
Approximation Formulae . . . . . . . . . 342--354
S. K. Srinivasan On Katz' Model for Emulsion
Polymerization . . . . . . . . . . . . . 355--359
Will Gersch and
Robert Ash Multiple Signal Counting . . . . . . . . 360--397
I. G. Cameron The Application of the Von Neumann
Method to a Steady One-Dimensional
Detonation Wave . . . . . . . . . . . . 398--412
M. Stern and
M. Stippes A Unified Numerical Treatment for
Vibrating Beams . . . . . . . . . . . . 413--420
B. W. Roos and
W. C. Sangren Asymptotic Solutions and an
Equiconvergence Theorem for a Pair of
First-Order Differential Equations . . . 421--430
Donald W. Marquardt An Algorithm for Least-Squares
Estimation of Nonlinear Parameters . . . 431--441
C. A. Desoer and
B. H. Whalen A Note on Pseudoinverses . . . . . . . . 442--447
Eldon R. Hansen On Cyclic Jacobi Methods . . . . . . . . 448--459
William M. Brown Sampling with Random Jitter . . . . . . 460--473
Mary Louise Buchanan A Necessary and Sufficient Condition for
Stability of Difference Schemes for
Second-Order Initial Value Problems . . 474--501
Marcel F. Neuts A Multistage Search Game . . . . . . . . 502--507
A. A. Grau A Generalization of the Bairstow Process 508--519
L. Calabi On the Theory of Boolean Formulas:
Construction of the Set of the Formulas
of Minimal Cost . . . . . . . . . . . . 521--525
Floyd I. John Single Server Queues with Dependent
Service and Inter-Arrival Times . . . . 526--534
Frank W. Sinden Duality in Convex Programming and in
Projective Space . . . . . . . . . . . . 535--552
W. R. Haseltine Existence Theorems for Nonlinear
Ballistics . . . . . . . . . . . . . . . 553--563
H. G. Landau The Accuracy of the Analog Solution of
Heat Conduction Problems . . . . . . . . 564--578
J. Warga A Convergent Procedure for Convex
Programming . . . . . . . . . . . . . . 579--587
J. Warga Minimizing Certain Convex Functions . . 588--593
J. Warga A Convergent Procedure for Solving the
Thermo-Chemical Equilibrium Problem . . 594--606
M. E. Gurtin and
Eli Sternberg A Reciprocal Theorem in the Linear
Theory of Anisotropic Viscoelastic
Solids . . . . . . . . . . . . . . . . . 607--613
Henry C. Thacher, Jr. Numerical Integration and
Differentiation of Functions of Several
Independent Variables by an Iterative
Procedure . . . . . . . . . . . . . . . 614--622
J. L. Nowinski A Mean Value Theorem for an Arbitrary
Steady-State Thermoelastic Problem for a
Solid Sphere . . . . . . . . . . . . . . 623--631
J. Ernest Wilkins, Jr. Diffusion in an Infinite or
Semi-Infinite Medium Whose Diffusion
Coefficient Depends Linearly on the
Concentration . . . . . . . . . . . . . 632--644
R. J. Duffin and
D. Hazony The Degree of a Rational Matrix Function 645--658
Raimond A. Struble A Discussion of the Duffing Problem . . 659--666
A. Ben-Israel and
A. Charnes Contributions to the Theory of
Generalized Inverses . . . . . . . . . . 667--699
Allan M. Krall A Closed Expression for the Root Locus
Method . . . . . . . . . . . . . . . . . 700--704
D. H. Lehmer The Complete Root-Squaring Method . . . 705--717
J. A. Morrison The Exact Solution to a Planar Orbit
Problem . . . . . . . . . . . . . . . . 718--731
H. F. Mattson A Note on the Ambiguity Function . . . . 732--736
Jean Descloux Note on Convex Programming . . . . . . . 737--747
F. W. J. Olver Error Bounds for First Approximations in
Turning-Point Problems . . . . . . . . . 748--772
Alfred Lehman Wye-Delta Transformation in
Probabilistic Networks . . . . . . . . . 773--805
Michael A. Harrison The Number of Transitivity Sets of
Boolean Functions . . . . . . . . . . . 806--828
John P. Vinti and
Tadeusz Leser Errata: ``The Sums of Certain Series
Involving Bessel Functions'' [J. SIAM
\bf 5 (1957), no. 1, 15--31] . . . . . . 829--829
J. M. Hammersley and
R. S. Walters Percolation and Fractional Branching
Processes . . . . . . . . . . . . . . . 831--839
Edward L. Reiss Extension of an Infinite Plate with a
Circular Hole . . . . . . . . . . . . . 840--854
Christoph Witzgall An All-Integer Programming Algorithm
with Parabolic Constraints . . . . . . . 855--871
William S. Jewell Multiple Entries in Traffic . . . . . . 872--885
Theodore P. Higgins An Inversion Integral for a Gegenbauer
Transformation . . . . . . . . . . . . . 886--893
H. L. Frisch and
J. M. Hammersley Percolation Processes and Related Topics 894--918
Mary Louise Buchanan A Necessary and Sufficient Condition for
Stability of Difference Schemes for
Initial Value Problems . . . . . . . . . 919--935
Mario Petrich On the Number of Orthogonal Signals
Which Can be Placed in a WT-Product . . 936--940
J. Siekmann Analysis of Ring Aerofoils of Elliptic
Cross Section: Part I: General Theory 941--963
Vidar Thomee A Predictor-Corrector Type Scheme for
the Mixed Boundary Problem for a
Hyperbolic First-Order System in Two
Dimensions . . . . . . . . . . . . . . . 964--975
R. B. Kellogg Another Alternating-Direction-Implicit
Method . . . . . . . . . . . . . . . . . 976--979
Morris Weisfeld Polar Orbits of Near Earth Satellites 980--993
Eugene L. Wachspress Extended Application of Alternating
Direction Implicit Iteration Model
Problem Theory . . . . . . . . . . . . . 994--1016
Jean Descloux Approximations in $ {L}^p $ and
Chebyshev Approximations . . . . . . . . 1017--1026
David Carlson A Note on $ {M}$-Matrix Equations . . . 1027--1033
A. L. Dulmage and
N. S. Mendelsohn The Characteristic Equation of an
Imprimitive Matrix . . . . . . . . . . . 1034--1045
D. S. Griffin and
R. S. Varga Numerical Solution of Plane Elasticity
Problems . . . . . . . . . . . . . . . . 1046--1062
R. J. Kelly and
W. A. Thompson, Jr. Quadratic Programming in Real Hilbert
Spaces . . . . . . . . . . . . . . . . . 1063--1070
William R. Haseltine Existence Theorems for Nonlinear
Ballistics Part II: Effect of Gravity 1071--1077
Richard E. Barlow and
Larry C. Hunter and
Frank Proschan Optimum Checking Procedures . . . . . . 1078--1095
S. Clarke and
A. Krikorian and
J. Rausen Computing the $ {N} $ Best Loopless
Paths in a Network . . . . . . . . . . . 1096--1102
A. L. Dulmage and
N. S. Mendelsohn Remarks on Solutions of the Optimal
Assignment Problem . . . . . . . . . . . 1103--1109
Joseph B. Keller The Field of an Antena Near the Center
of a Large Circular Disk . . . . . . . . 1110--1112
C. L. Tang Errata: ``On the Radiation Pattern of a
Base-Driven Antenna Over a Circular
Conducting Screen'' [J. SIAM \bf 10
(1962), no. 4, 695--708] . . . . . . . . 1113--1113
R. W. Hockney A Solution of Laplace's Equation for a
Round Hole in a Square Peg . . . . . . . 1--14
A. Erdélyi An Integral Equation Involving Legendre
Functions . . . . . . . . . . . . . . . 15--30
I. Heller On Linear Programs Equivalent to the
Transportation Program . . . . . . . . . 31--42
G. Stephen Jones Fundamental Inequalities for Discrete
and Discontinuous Functional Equations 43--57
Harry Hochstadt On the Stability of Certain Second Order
Differential Equations . . . . . . . . . 58--59
Eugene J. Putzer On Certain Systems of Nonlinear
Differential Equations . . . . . . . . . 60--73
B. V. Shah and
R. J. Buehler and
O. Kempthorne Some Algorithms for Minimizing a
Function of Several Variables . . . . . 74--92
Donald A. Pierre A Rational Fraction Approximation
Formula for $ \exp \lbrack - (s D)^{1 /
2} \rbrack $ with Applications . . . . . 93--104
J. H. Bramble and
L. E. Payne Some Mean Value Theorems in
Elastostatics . . . . . . . . . . . . . 105--114
Richard J. Turyn The Linear Generation of the Legendre
Sequence . . . . . . . . . . . . . . . . 115--116
L. L. Campbell A Comparison of the Sampling Theorems of
Kramer and Whittaker . . . . . . . . . . 117--130
L. H. Harper Optimal Assignments of Numbers to
Vertices . . . . . . . . . . . . . . . . 131--135
Max A. Heaslet and
Franklyn B. Fuller Temperature Distribution on Conducting
Cylindrical Shells Including the Effects
of Thermal Radiation . . . . . . . . . . 136--155
J. B. Rosen Minimum and Basic Solutions to Singular
Linear Systems . . . . . . . . . . . . . 156--162
A. K. Aziz and
B. E. Hubbard Bounds for the Solution of the
Sturm--Liouville Problem with
Application to Finite Difference Methods 163--178
Marcel F. Neuts An Inventory Model with an Optional Time
Lag . . . . . . . . . . . . . . . . . . 179--185
I. Fleischer and
A. Kooharian Optimization and Recursion . . . . . . . 186--188
Robert J. Thompson Difference Approximations for
Inhomogeneous and Quasi-Linear Equations 189--199
F. W. J. Olver Error Bounds for Asymptotic Expansions
in Turning-Point Problems . . . . . . . 200--214
R. T. Rockafellar A Combinatorial Algorithm for Linear
Programs in the General Mixed Form . . . 215--225
Liang-Tseng Fan and
Chiu-Sen Wang On the Optimization of Multistage
Feedback Processes . . . . . . . . . . . 226--232
J. R. Cannon The Numerical Solution of the Dirichlet
Problem for Laplace's Equation by Linear
Programming . . . . . . . . . . . . . . 233--237
Henry F. Kaiser A Method for Determining Eigenvalues . . 238--248
I. I. Kolodner and
J. Lehner and
G. M. Wing On First Order Ordinary Differential
Equations Arising in Diffusion Problems 249--269
J. R. Cannon Error Estimates for Some Unstable
Continuation Problems . . . . . . . . . 270--284
Michael A. Harrison On the Classification of Boolean
Functions by the General Linear and
Affine Groups . . . . . . . . . . . . . 285--299
J. W. Moeller Signals Impervious to Time Limited Noise 300--310
G. J. Tee A New Technique for Solving Elliptic
Partial Differential Equations . . . . . 311--347
R. E. Gomory and
T. C. Hu Synthesis of a Communication Network . . 348--369
Edmund H. Inselmann Hypothesis Testing of Gaussian Processes
with Composite Alternatives . . . . . . 370--385
Malcolm Newman and
Edward L. Reiss Nonlinear Axisymmetric Deformations of
Conical Shells . . . . . . . . . . . . . 386--402
G. C. Sih Fracture Strength of a Rectangular Beam
with Surface Cracks . . . . . . . . . . 403--412
C. E. Lemke and
J. T. Howson, Jr. Equilibrium Points of Bimatrix Games . . 413--423
William Kizner A Numerical Method for Finding Solutions
of Nonlinear Equations . . . . . . . . . 424--428
Prescott D. Crout A Method for Combining Mixed Data on
Position and Acceleration in Estimating
Velocities . . . . . . . . . . . . . . . 429--445
M. A. Hanson Duality and Self-Duality in Mathematical
Programming . . . . . . . . . . . . . . 446--449
Bradley Efron Optimum Evasion Versus Systematic Search 450--457
William C. Lindsey Infinite Integrals Containing Bessel
Function Products . . . . . . . . . . . 458--464
C. N. de Silva The Effect of Transverse Shear
Deformation on the Bending of Elliptic
Toroidal Shells . . . . . . . . . . . . 465--476
William H. Pierce Probability Bounds in Finite-State
Transition Chains . . . . . . . . . . . 477--486
I. W. Sandberg On the Stability of Solutions of Linear
Differential Equations with Periodic
Coefficients . . . . . . . . . . . . . . 487--496
W. R. Haseltine Errata: ``Existence Theorems for
Nonlinear Ballistics'' [J. SIAM \bf 11
(1963), no. 3, 553--563] . . . . . . . . 497--497
Peter Henrici Errata: ``Bounds for Eigenvalues of
Certain Tridiagonal Matrices'' [J. SIAM
\bf 11 (1963), no. 2, 281--290] . . . . 497--497
Andrew Sobczyk On the Curtiss Nonsingularity Condition
in Harmonic Polynomial Interpolation . . 499--514
William F. Trench An Algorithm for the Inversion of Finite
Toeplitz Matrices . . . . . . . . . . . 515--522
H. R. Aggarwal On the Zeros of $ k z^2 {K}_n' (k z)
{K}_n' (z) - n^2 {K}_n(k z) {K}_n(z) $ 523--525
Vaclav Dolezal The Location of Eigenfrequencies of
Electrical Networks . . . . . . . . . . 526--538
J. Bazer Multiple Scattering in One Dimension . . 539--579
James Alan Cochran Remarks on the Zeros of Cross-Product
Bessel Functions . . . . . . . . . . . . 580--587
Randall E. Cline Representations for the Generalized
Inverse of a Partitioned Matrix . . . . 588--600
Theodore P. Higgins A Hypergeometric Function Transform . . 601--612
William E. Boyce and
Bruce E. Goodwin Random Transverse Vibrations of Elastic
Beams . . . . . . . . . . . . . . . . . 613--629
G. J. Kurowski On the General Solution of the
Three-Dimensional Viscoelastic Navier's
Equations for Commutative Systems . . . 630--633
Josef Stoer A Characterization of Hölder Norms . . . 634--648
Thein Wah Circular Symmetric Vibrations of
Ring-Stiffened Cylindrical Shells . . . 649--662
Richard W. Cottle Note on a Fundamental Theorem in
Quadratic Programming . . . . . . . . . 663--665
F. Erdogan and
L. Y. Bahar On the Solution of Simultaneous Dual
Integral Equations . . . . . . . . . . . 666--675
Wai-Kai Chen The Inversion of Matrices by Flow Graphs 676--685
Alfred Lehman A Solution of the Shannon Switching Game 687--725
Mathura D. Sawhney The Computation of Eigenvalues. I. Real
Symmetric Matrices . . . . . . . . . . . 726--733
Melvin Tainiter On Stochastic Counting Processes
Associated With a Semi-Markov Process 734--744
Murray Wachman On the Two Point Boundary Value Problem,
With Application to Celestial Mechanics 745--771
G. T. McAllister Some Nonlinear Elliptic Partial
Differential Equations and Difference
Equations . . . . . . . . . . . . . . . 772--777
O. L. Mangasarian Equilibrium Points of Bimatrix Games . . 778--780
Terence Butler Lagrange Multipliers and the Geometry of
Hilbert Space . . . . . . . . . . . . . 781--793
M. Hanan and
F. P. Palermo On Cyclic Codes for Multi-Phase Data
Transmission Systems . . . . . . . . . . 794--804
M. E. Gurtin A Note on Functionals Continuous with
Respect to an Operator . . . . . . . . . 805--806
Louis W. Ehrlich The Block Symmetric Successive
Overrelaxation Method . . . . . . . . . 807--826
John G. Rau Redundancy and Trichotomous Systems . . 827--837
G. Bottger and
H. Harders Note on a Problem by S. L. Hakimi
Concerning Planar Graphs Without
Parallel Elements [J. SIAM \bf 11
(1963), no. 1, 135--147] . . . . . . . . 838--839
C. T. Zahn, Jr. Approximation Symmetric Relations by
Equivalence Relations . . . . . . . . . 840--847
R. B. Kellogg An Alternating Direction Method for
Operator Equations . . . . . . . . . . . 848--854
R. S. Pinkham Random Root Location . . . . . . . . . . 855--864
C. S. Duris A Riemann-Like Method for Solving
Hyperbolic Difference Equations . . . . 865--872
Edmund Pinney The Schwinger Variation Method . . . . . 873--885
J. F. Traub On Lagrange-Hermite Interpolation . . . 886--891
Carl de Boor and
John R. Rice Tensor Products and Commutative Matrices 892--896
B. W. Roos Successive Recurrence Functions and the
Partition of Finite Measure Spaces . . . 897--898
Howard E. Conner Extinction Probabilities for Age- and
Position-Dependent Branching Processes 899--909
Miroslav Fiedler Some Estimates of the Proper Values of
Matrices . . . . . . . . . . . . . . . . 1--5
J. H. Heinbockel and
R. A. Struble The Existence of Periodic Solutions of
Nonlinear Oscillators . . . . . . . . . 6--36
Lawrence Brown Optimal Policies for a Sequential
Decision Process . . . . . . . . . . . . 37--46
R. A. Sack Interpretation of Lagrange's Expansion
and its Generalization to Several
Variables as Integration Formulas . . . 47--59
Zivia S. Wurtele A Problem in Pattern Recognition . . . . 60--67
George F. Carrier Analytic Approximation Techniques in
Applied Mathematics . . . . . . . . . . 68--95
J. A. Morrison Application of the Method of Averaging
to Planar Orbit Problems . . . . . . . . 96--117
William F. Lucas Solutions for Four-Person Games in
Partition Function Form . . . . . . . . 118--128
Jesse M. Shapiro Domains of Attraction for Absolute
Values of Random Variables . . . . . . . 129--135
W. T. Kyner A Mathematical Theory of the Orbits
About an Oblate Planet . . . . . . . . . 136--171
W. R. Sears Some Recollections of Theodore Von
Karman . . . . . . . . . . . . . . . . . 174--183
J. M. Burgers The Transportation of Magnetic Lines of
Force by a Highly Conducting Fluid . . . 184--205
Luigi Crocco Turbulent Boundary Layer and Mixing
Coefficient . . . . . . . . . . . . . . 206--215
A. Erdélyi Axially Symmetric Potentials and
Fractional Integration . . . . . . . . . 216--228
Antonio Ferri and
Gino Moretti and
Simon Slutsky Mixing Processes in Supersonic
Combustion . . . . . . . . . . . . . . . 229--258
Harold Grad On Boltzmann's $ {H}$-Theorem . . . . . 259--277
Lester Lees Kinetic Theory Description of Rarefied
Gas Flow . . . . . . . . . . . . . . . . 278--311
William Prager Mathematical Programming and Theory of
Structures . . . . . . . . . . . . . . . 312--332
E. Reissner and
F. Y. M. Wan Rotating Shallow Elastic Shells of
Revolution . . . . . . . . . . . . . . . 333--352
N. Z. Shapiro and
L. S. Shapley Mass Action Laws and the Gibbs Free
Energy Function . . . . . . . . . . . . 353--375
E. N. Gilbert Random Minimal Trees . . . . . . . . . . 376--387
T. W. Mullikin A Nonlinear Integrodifferential Equation
in Radiative Transfer . . . . . . . . . 388--410
Michael Yoeli Lattice-Ordered Semigroups, Graphs, and
Automata . . . . . . . . . . . . . . . . 411--422
V. P. Sreedharan A Short Proof of the Duality Theorem of
Linear Programming . . . . . . . . . . . 423--424
J. H. Heinbockel and
R. A. Struble Periodic Solutions for Differential
Systems with Symmetries . . . . . . . . 425--440
K. Steiglitz and
A. J. Bernstein Optimal Binary Coding of Ordered Numbers 441--443
Z. W. Birnbaum and
J. D. Esary Modules of Coherent Binary Systems . . . 444--462
A. H. Zemanian A Characterization of the Inverse
Laplace Transforms of Rational
Positive-Real Matrices . . . . . . . . . 463--468
L. Carlitz Some Multiple Sums and Binomial
Identities . . . . . . . . . . . . . . . 469--486
T. R. Kane and
C. F. Wang On the Derivation of Equations of Motion 487--492
Wai-Kai Chen On the Modifications of Flow Graphs . . 493--505
J. W. Moon On the Distribution of Crossings in
Random Complete Graphs . . . . . . . . . 506--510
G. C. Pomraning A Variational Principle for Linear
Systems . . . . . . . . . . . . . . . . 511--519
R. E. Kalman Irreducible Realizations and the Degree
of a Rational Matrix . . . . . . . . . . 520--544
J. P. Brannen An Iterative Method for Optimizing
Expectations . . . . . . . . . . . . . . 545--554
M. F. Smiley Langenhop's Stabilization Theorem . . . 555--557
J. Bazer and
L. Rubenfeld Diffraction of Electromagnetic Waves by
a Circular Aperture in an Infinitely
Conducting Plane Screen . . . . . . . . 558--585
R. J. Sylvester and
F. Meyer Two Point Boundary Problems by
Quasilinearization . . . . . . . . . . . 586--602
Louis Bauer and
Edward L. Reiss Nonlinear Buckling of Rectangular Plates 603--626
W. J. Coles Matrix Riccati Differential Equations 627--634
Dallas O. Banks Some Inequalities for the Fundamental
Frequency of a Nonhomogeneous Membrane 635--638
R. Hobart An Analytical Solution to a Class of
Nonlinear Differential-Difference
Equations . . . . . . . . . . . . . . . 639--643
William F. Tyndall A Duality Theorem for a Class of
Continuous Linear Programming Problems 644--666
Paul Gordon Nonsymmetric Difference Equations . . . 667--673
Herbert B. Keller and
Antoinette W. Wolfe On the Nonunique Equilibrium States and
Buckling Mechanism of Spherical Shells 674--705
David J. Sakrison Estimation of Signals Containing Unknown
Parameters: Comparison of Linear and
Arbitrary Unbiased Estimates . . . . . . 706--719
Lionel Weiss On the Asymptotic Distribution of the
Largest Sample Spacing . . . . . . . . . 720--731
Kurt Kreith Elliptic Operators with a Purely
Continuous Spectrum . . . . . . . . . . 732--739
Peter J. Ponzo and
Nelson Wax On Certain Relaxation Oscillations:
Asymptotic Solutions . . . . . . . . . . 740--766
John M. Holt Integral Inequalities Related to
Non-Oscillation Theorems for
Differential Equations . . . . . . . . . 767--794
Thomas S. Ferguson Betting Systems which Minimize the
Probability of Ruin . . . . . . . . . . 795--818
L. D. Davisson Prediction of Time Series from Finite
Past . . . . . . . . . . . . . . . . . . 819--826
Yuji Ijiri On the Generalized Inverse of an
Incidence Matrix . . . . . . . . . . . . 827--836
J. K. Reid and
J. E. Walsh An Elliptic Eigenvalue Problem for a
Reentrant Region . . . . . . . . . . . . 837--850
G. M. Schindler On the Geometric Shape of
Axial-Symmetric Shock Waves from a Point
Source Explosion in a Nonhomogeneous
Medium . . . . . . . . . . . . . . . . . 851--863
Stanley Reiter and
Gordon Sherman Discrete Optimizing . . . . . . . . . . 864--889
Robert M. Oliver and
Gerold Pestalozzi On a Problem of Optimum Priority
Classification . . . . . . . . . . . . . 890--901
Dorothy A. Bollman Some Periodicity Properties of
Transformations on Vector Spaces over
Residue Class Rings . . . . . . . . . . 902--912
R. A. Sack Generalization of Lagrange's Expansion
for Functions of Several Implicitly
Defined Variables . . . . . . . . . . . 913--926
A. C. Williams On Stochastic Linear Programming . . . . 927--940
John Jones, Jr. On the Lyapunov Stability Criteria . . . 941--945
Victor Klee Paths on Polyhedra. I . . . . . . . . . 946--956
G. Fairweather and
A. R. Mitchell A New Alternating Direction Method for
Parabolic Equations in Three Space
Variables . . . . . . . . . . . . . . . 957--965
Alan G. Konheim The Stationary Waiting Time Distribution
for a Single-Server Queue . . . . . . . 966--976
T. T. Soong On Perturbation Solutions to Linear
System Dynamics --- I. Convergence . . . 977--987
J. A. McFadden The Entropy of a Point Process . . . . . 988--994
Robert E. Lynch and
John R. Rice and
Donald H. Thomas Tensor Product Analysis of Alternating
Direction Implicit Methods . . . . . . . 995--1006
Stuart Antman and
William H. Warner Dynamic Stability of Circular Rods . . . 1007--1018
Alan Schumitzky Modulation Products and Optimum
Frequency Conversion for an
$n$-Frequency Input . . . . . . . . . . 1019--1032
Charles A. Rohde Generalized Inverses of Partitioned
Matrices . . . . . . . . . . . . . . . . 1033--1035
Heinz Konig and
Armen H. Zemanian Necessary and Sufficient Conditions for
a Matrix Distribution to have a
Positive-Real Laplace Transform . . . . 1036--1040
Walter M. Windholz Approximate Solutions for Some
Elasticity Problems . . . . . . . . . . 1041--1049
George E. Forsythe and
Gene H. Golub On the Stationary Values of a
Second-Degree Polynomial on the Unit
Sphere . . . . . . . . . . . . . . . . . 1050--1068
William L. Waltmann and
Robert J. Lambert $ {T}$-Algorithm for Tridiagonalization 1069--1078
Maurice Pollack The Jeep Problem: The Maximum Rate of
Delivery . . . . . . . . . . . . . . . . 1079--1086
Edward C. Posner Simultaneous Error-Correction and
Burst-Error Detection Using Binary
Linear Cyclic Codes . . . . . . . . . . 1087--1095
Howard J. Weiner The Gradient Iteration in Time Series
Analysis . . . . . . . . . . . . . . . . 1096--1101
William F. Trench An Algorithm for the Inversion of Finite
Hankel Matrices . . . . . . . . . . . . 1102--1107
Hans F. Bueckner Remark on a Paper by D. S. Griffin and
R. S. Varga ``Numerical Solution of
Plane Elasticity Problems'' [J. SIAM \bf
11 (1963), no. 4, 1046--1062] . . . . . 414--414
James McKenna Note on ``Asymptotic Expansions of
Fourier Integrals Involving Logarithmic
Singularities'' [J. SIAM \bf 4 (1956),
no. 1, 38--47], by A. Erdélyi . . . . . . 810--812
A. C. Williams Errata: ``On Stochastic Linear
Programming'' [J. SIAM \bf 13 (1965),
no. 4, 927--940] . . . . . . . . . . . . 228--228
J. W. Moon Erratum: ``On the Distribution of
Crossings in Random Complete Graphs''
[J. SIAM \bf 13 (1965), no. 2, 506--510] 706--706