Table of contents for issues of Journal of the Society for Industrial and Applied Mathematics

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Volume 1, Number 1, September, 1953
Volume 1, Number 2, December, 1953
Volume 2, Number 1, March, 1954
Volume 2, Number 2, June, 1954
Volume 2, Number 3, September, 1954
Volume 2, Number 4, December, 1954
Volume 3, Number 1, March, 1955
Volume 3, Number 2, June, 1955
Volume 3, Number 3, September, 1955
Volume 3, Number 4, December, 1955
Volume 4, Number 1, March, 1956
Volume 4, Number 2, June, 1956
Volume 4, Number 3, September, 1956
Volume 4, Number 4, December, 1956
Volume 5, Number 1, March, 1957
Volume 5, Number 2, June, 1957
Volume 5, Number 3, September, 1957
Volume 5, Number 4, December, 1957
Volume 6, Number 1, March, 1958
Volume 6, Number 2, June, 1958
Volume 6, Number 3, September, 1958
Volume 6, Number 4, December, 1958
Volume 7, Number 1, March, 1959
Volume 7, Number 2, June, 1959
Volume 7, Number 3, September, 1959
Volume 7, Number 4, December, 1959
Volume 8, Number 1, March, 1960
Volume 8, Number 2, June, 1960
Volume 8, Number 3, September, 1960
Volume 8, Number 4, December, 1960
Volume 9, Number 1, March, 1961
Volume 9, Number 2, June, 1961
Volume 9, Number 3, September, 1961
Volume 9, Number 4, December, 1961
Volume 10, Number 1, March, 1962
Volume 10, Number 2, June, 1962
Volume 10, Number 3, September, 1962
Volume 10, Number 4, December, 1962
Volume 11, Number 1, March, 1963
Volume 11, Number 2, June, 1963
Volume 11, Number 3, September, 1963
Volume 11, Number 4, December, 1963
Volume 12, Number 1, March, 1964
Volume 12, Number 2, June, 1964
Volume 12, Number 3, September, 1964
Volume 12, Number 4, December, 1964
Volume 13, Number 1, March, 1965
Volume 13, Number 2, June, 1965
Volume 13, Number 3, September, 1965
Volume 13, Number 4, December, 1965
Volume 14, Number 2, March, 1966
Volume 15, Number 4, July, 1967
Volume 15, Number 1, January, 1967
Volume 32, Number 3, May, 1977


Journal of the Society for Industrial and Applied Mathematics
Volume 1, Number 1, September, 1953

           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

Journal of the Society for Industrial and Applied Mathematics
Volume 1, Number 2, December, 1953

                   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


Journal of the Society for Industrial and Applied Mathematics
Volume 2, Number 1, March, 1954

         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

Journal of the Society for Industrial and Applied Mathematics
Volume 2, Number 2, June, 1954

                      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

Journal of the Society for Industrial and Applied Mathematics
Volume 2, Number 3, September, 1954

              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

Journal of the Society for Industrial and Applied Mathematics
Volume 2, Number 4, December, 1954

            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


Journal of the Society for Industrial and Applied Mathematics
Volume 3, Number 1, March, 1955

             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

Journal of the Society for Industrial and Applied Mathematics
Volume 3, Number 2, June, 1955

              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

Journal of the Society for Industrial and Applied Mathematics
Volume 3, Number 3, September, 1955

              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

Journal of the Society for Industrial and Applied Mathematics
Volume 3, Number 4, December, 1955

             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


Journal of the Society for Industrial and Applied Mathematics
Volume 4, Number 1, March, 1956

                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

Journal of the Society for Industrial and Applied Mathematics
Volume 4, Number 2, June, 1956

                     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

Journal of the Society for Industrial and Applied Mathematics
Volume 4, Number 3, September, 1956

                  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

Journal of the Society for Industrial and Applied Mathematics
Volume 4, Number 4, December, 1956

            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


Journal of the Society for Industrial and Applied Mathematics
Volume 5, Number 1, March, 1957

            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

Journal of the Society for Industrial and Applied Mathematics
Volume 5, Number 2, June, 1957

               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

Journal of the Society for Industrial and Applied Mathematics
Volume 5, Number 3, September, 1957

                    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

Journal of the Society for Industrial and Applied Mathematics
Volume 5, Number 4, December, 1957

                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


Journal of the Society for Industrial and Applied Mathematics
Volume 6, Number 1, March, 1958

                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

Journal of the Society for Industrial and Applied Mathematics
Volume 6, Number 2, June, 1958

                   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

Journal of the Society for Industrial and Applied Mathematics
Volume 6, Number 3, September, 1958

                 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

Journal of the Society for Industrial and Applied Mathematics
Volume 6, Number 4, December, 1958

            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


Journal of the Society for Industrial and Applied Mathematics
Volume 7, Number 1, March, 1959

                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

Journal of the Society for Industrial and Applied Mathematics
Volume 7, Number 2, June, 1959

                     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

Journal of the Society for Industrial and Applied Mathematics
Volume 7, Number 3, September, 1959

              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

Journal of the Society for Industrial and Applied Mathematics
Volume 7, Number 4, December, 1959

              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


Journal of the Society for Industrial and Applied Mathematics
Volume 8, Number 1, March, 1960

             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

Journal of the Society for Industrial and Applied Mathematics
Volume 8, Number 2, June, 1960

          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

Journal of the Society for Industrial and Applied Mathematics
Volume 8, Number 3, September, 1960

              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

Journal of the Society for Industrial and Applied Mathematics
Volume 8, Number 4, December, 1960

                  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


Journal of the Society for Industrial and Applied Mathematics
Volume 9, Number 1, March, 1961

                    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

Journal of the Society for Industrial and Applied Mathematics
Volume 9, Number 2, June, 1961

       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

Journal of the Society for Industrial and Applied Mathematics
Volume 9, Number 3, September, 1961

            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

Journal of the Society for Industrial and Applied Mathematics
Volume 9, Number 4, December, 1961

             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


Journal of the Society for Industrial and Applied Mathematics
Volume 10, Number 1, March, 1962

               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

Journal of the Society for Industrial and Applied Mathematics
Volume 10, Number 2, June, 1962

                   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

Journal of the Society for Industrial and Applied Mathematics
Volume 10, Number 3, September, 1962

                   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

Journal of the Society for Industrial and Applied Mathematics
Volume 10, Number 4, December, 1962

         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


Journal of the Society for Industrial and Applied Mathematics
Volume 11, Number 1, March, 1963

                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

Journal of the Society for Industrial and Applied Mathematics
Volume 11, Number 2, June, 1963

                   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

Journal of the Society for Industrial and Applied Mathematics
Volume 11, Number 3, September, 1963

                      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

Journal of the Society for Industrial and Applied Mathematics
Volume 11, Number 4, December, 1963

           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


Journal of the Society for Industrial and Applied Mathematics
Volume 12, Number 1, March, 1964

                  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

Journal of the Society for Industrial and Applied Mathematics
Volume 12, Number 2, June, 1964

             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

Journal of the Society for Industrial and Applied Mathematics
Volume 12, Number 3, September, 1964

                 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

Journal of the Society for Industrial and Applied Mathematics
Volume 12, Number 4, December, 1964

                  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


Journal of the Society for Industrial and Applied Mathematics
Volume 13, Number 1, March, 1965

               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

Journal of the Society for Industrial and Applied Mathematics
Volume 13, Number 2, June, 1965

              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

Journal of the Society for Industrial and Applied Mathematics
Volume 13, Number 3, September, 1965

                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

Journal of the Society for Industrial and Applied Mathematics
Volume 13, Number 4, December, 1965

                     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


SIAM Journal on Applied Mathematics
Volume 14, Number 2, March, 1966

               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


SIAM Journal on Applied Mathematics
Volume 15, Number 4, July, 1967

                  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

SIAM Journal on Applied Mathematics
Volume 15, Number 1, January, 1967

                 A. C. Williams   Errata: ``On Stochastic Linear
                                  Programming'' [J. SIAM \bf 13 (1965),
                                  no. 4, 927--940] . . . . . . . . . . . . 228--228


SIAM Journal on Applied Mathematics
Volume 32, Number 3, May, 1977

                     J. W. Moon   Erratum: ``On the Distribution of
                                  Crossings in Random Complete Graphs''
                                  [J. SIAM \bf 13 (1965), no. 2, 506--510] 706--706