VOLUME XXVI INDEX OF PAPERS BY AUTHORS · VOLUME XXVI INDEX OF PAPERS BY AUTHORS Author Title Page...

VOLUME XXVI

INDEX OF PAPERS BY AUTHORS

Author Title Page

Amos, D. E. & Bulgren, W. G. Computation of a Multivariate F Distribution. 255

Babuska, Ivo The Finite Element Method for Infinite Domains. 1. 1

Bass, Ronald A Rank Two Algorithm for Unconstrained Minimization 129

Bauer, Louis & Reiss, Block Five Diagonal Matrices and the Fast Numerical

Edward L. Solution of the Biharmonic Equation. 311

Belford, Geneva G. Uniform Approximation of Vector-Valued Functions with

a Constraint. 487

Bellman, Richard, Kashef, A Useful Approximation to e~''. 233

B. G. & Vasudevan, R.

Borho, Walter On Thabit ibn Kurrah's Formula for Amicable Numbers. 571

Borning, Alan Some Results for k\± \ and 2-3-5 ••■ p ± 1. 567

Bramble, James H., Dupont, Projection Methods for Dirichlet's Problem in Approximat-

Todd & Thomee, Vidar ing Polygonal Domains with Boundary-Value Cor-

rections. 869

Bramble, James H. & Thomee, Semidiscrete-Least Squares Methods for a Parabolic

Vidar Boundary Value Problem. 633

Brillhart, John Note on Representing a Prime as a Sum of Two Squares_ 1011

Brunner, H. A Note on Modified Optimal Linear Multistep Methods . 625

Bulgren, W. G. See: Amos, D. E. & Bulgren, W. G. 255

Butcher, J. C. An Algebraic Theory of Integration Methods. 79

Butcher, J. C. A Convergence Criterion for a Class of Integration

Methods. 107

Cantor, David G., Galyean, A Continued Fraction Algorithm for Real Algebraic

Paul H. & Zimmer, Horst G. Numbers. 785

Carlson, B. C. An Algorithm for Computing Logarithms and Arc-

tangents. 543

Cheema, M. S. & Conway, W. E. Numerical Investigation of Certain Asymptotic Results in

the Theory of Partitions. 999

Chipman, D. M. The Numerical Computation of Two Transcendental Func-

tions Related to the Exponential Integral. 241

Cline, A. K. Rate of Convergence of Lawson's Algorithm. 167

Conway, W. E. See: Cheema, M. S. & Conway, W. E. 999

Cox, M. G. A Note on Chambers' Method for Finding a Zero of a

Function. 749

Crews, Phillip L. See: Wall, Charles R., Crews, Phillip L. & Johnson,

Donald B. 773

Curtis, A. R. & Rabinowitz, P. On the Gaussian Integration of Chebyshev Polynomials. . 207

Cusick, T. W. Diophantine Approximation of Ternary Linear Forms. II 977

Davis, P. J. & Rabinowitz, P. On the Nonexistence of Simplex Integration Rules for

Infinite Integrals. 687

Derr, Leroy J. Inversion of Isoclinal Matrices. 719

Dupont, Todd See: Bramble, JamesH., Dupont, Todd & Thomee, Vidar 869

Ehrlich, L. W. Coupled Harmonic Equations, SOR, and Chebyshev

Acceleration. 335

Eilon, B. A Note Concerning the Two-Step Lax-Wendroff Method

in Three Dimensions. 41

Elliott, David See: Tu an, P. D. & Elliott, David. 213

1033

1034 INDEX OF PAPERS BY AUTHORS

Author Title Page

Farahat, H. K. See: Lancaster, P. & Farahat, H. K. 401

Fettis, Henry E. An Explicit Addition Formula for the Inverse Jacobian

Elliptic Functions. 965

Fields, Jerry L. The Asymptotic Expansion of the Meijer G-Function.... 757

Forsythe, George E. Von Neumann's Comparison Method for Random

Sampling from the Normal and Other Distributions 817

Galyean, Paul H. See: Cantor, David G., Galyean, Paul H. & Zimmer,

Horst G. 785Gautschi, Walter The Condition of Orthogonal Polynomials. 923

Gentleman, W. Morven Optimal Multiplication Chains for Computing a Power

of a Symbolic Polynomial. 935

Gillard, P. See: Lal, M. & Gillard, P. 579

Goldfarb, D. Modification Methods for Inverting Matrices and Solving

Systems of Linear Algebraic Equations. 829

Greenstadt, John A Quasf-Newton Method with No Derivatives. 145

Gregory, J. A. See: Strecok, A. J. & Gregory, J. A. 955

Guderley, Karl G. & A Predictor-Corrector Method for a Certain Class of Stiff

Hsu, Chen-Chi Differential Equations. 51

Gustafsson, Bertil, Kreiss, Stability Theory of Difference Approximations for Mixed

Heinz-Otto & Sundström, Initial Boundary Value Problems. II. 649

ArneHabetler, G. J. See: Rainey, J. W. & Habetler, G. J. 121

Hayes, John K., Kahaner, An Improved Method for Numerical Conformal Mapping. 327

David K. & Kellner,

Richard G.

Hetherington, J. H. An Error Bound for Quadratures. 695

Hoskins, W. D. & Ponzo, P. J. Some Properties of a Class of Band Matrices. 393

Householder, Alston S. On a Condition for the Nonsingularity of a Matrix. 119

Hsu, Chen-Chi See: Guderley, Karl G. & Hsu, Chen-Chi. 51

Hulme, Bernie L. One-Step Piecewise Polynomial Galerkin Methods for

Initial Value Problems. 415

Hulme, Bernie L. Discrete Galerkin and Related One-Step Methods for

Ordinary Differential Equations. 881

Hunter, D. B. & Regan, T. A Note on the Evaluation of the Complementary Error

Function. 539

Jain, R. K. Some /1-Stable Methods for Stiff Ordinary Differential

Equations. 71

Johnson, Donald B. See: Wall, Charles R., Crews, Phillip L. & Johnson,

Donald B. 773

Johnston, R. L. & Pal, S. K. The Numerical Solution of Hyperbolic Systems Using

Bicharacteristics. 377

Kahaner, David K. See: Hayes, John K., Kahaner, David K. & Kellner,

Richard G. 327

Kahaner, David K. Minimum Norm Differentiation Formulas with Improved

Roundoff Error Bounds. 477

Kahaner, David K. Numerical Quadrature by the e-Algorithm. 689

Kahng, S. W. Best Lp Approximation. 505

Kashef, B. G. See: Bellman, Richard, Kashef, B. G. & Vasudevan, R. 233

Kellner, Richard G. See: Hayes, John K., Kahaner, David K. & Kellner,

Richard G. 327

Kershaw, D. The Orders of Approximation of the First Derivative of

Cubic Splines at the Knots. 191

Kim, Shoon K. The Asymptotic Expansion of a Hypergeometric Function

2F2(1, a; pi, p2; z). 963

Kincaid, David R. Norms of the Successive Overrelaxation Method. 345

INDEX OF PAPERS BY AUTHORS 1035

Author Title Page

Kincaid, David R. & The Modified Successive Overrelaxation Method with

Young, David M. Fixed Parameters. 705

Klopfenstein, R. W. See: Pelios, A. & Klopfenstein, R. W. 467

Kölbig, K. S. Complex Zeros of Two Incomplete Riemann Zeta Func-

tions. 551

Kölbig, K. S. On the Zeros of the Incomplete Gamma Function. 751

Korsan, Robert J. See: Seidman, Thomas I. & Korsan, Robert J. 897

Kreiss, Heinz-Otto Difference Approximations for Boundary and Eigenvalue

Problems for Ordinary Differential Equations. 605

Kreiss, Heinz-Otto See: Gustafsson, Bertil, Kreiss, Heinz-Otto & Sund-

ström, Arne. 649

Kress, R. On the General Hermite Cardinal Interpolation. 925

Lal, Mohan See: Shanks, Daniel & Lal, Mohan. 265

Lal, M. & Gillard, P. On the Equation <j>(n) = <t>(n + k). 579

Lancaster, P. & Farahat, H. K. Norms on Direct Sums and Tensor Products. 401

Lewis, James T. Computation of Best Monotone Approximations. 737

Lin, Jung See: Ling, Chih-Bing & Lin, Jung. 529

Ling, Chih-Bing & Lin, Jung On Evaluation of Moments of K,(t)/hU). 529

Linz, Peter A Method for Computing Bessel Function Integrals. 509

Lipow, Peter R. & How Slowly Can Quadrature Formulas Converge?. 917

Stenger, Frank

Luke, Yudell L. Miniaturized Tables of Bessel Functions. Ill. 237

MacKinnon, Robert F. The Asymptotic Expansions of Hankel Transforms and

Related Integrals. 515

Madsen, N. K. Convergence of Singular Difference Approximations for

the Discrete Ordinate Equations in x-y Geometry. 45

McKinney, Earl H. Generalized Recursive Multivariate Interpolation. 723

Merz, Gerhard Remark on a Paper by Huddleston. 901

Mossige, Svein Table of Irreducible Polynomials over GF[2] of Degrees 10

through 20 . 1007

Niederreiter, Harald On the Distribution of Pseudo-Random Numbers Gener-

ated by the Linear Congruential Method. 793

Olver, F. W. J. & Sookne, D. J. Note on Backward Recurrence Algorithms. 941

Osher, Stanley Stability of Parabolic Difference Approximations to

Certain Mixed Initial Boundary Value Problems. 13

Osler, Thomas J. An Integral Analogue of Taylor's Series and its Use in

Computing Fourier Transforms. 449

Osler, Thomas J. The Integral Analog of the Leibniz Rule. 903

Pal, S. K. See: Johnston, R. L. & Pal, S. K. 377

Parnes, R. Complex Zeros of the Modified Bessel Functions K„(Z)... 949

Paul, A. K. Anharmonic Frequency Analysis. 437

Pelios, A. & Minimal Error Constant Numerical Differentiation

Klopfenstein, R. W. (N. D.) Formulas. 467

Plemmons, Robert J. Monotonicity and Iterative Approximations Involving

Rectangular Matrices. 853

Ponzo, P. J. See: Hoskins, W. D. & Ponzo, P. J. 393

Rabinowitz, P. See: Curtis, A. R. & Rabinowitz, P. 207

Rabinowitz, P. See: Davis, P. J. & Rabinowitz, P. 687

Rainey, J. W. & Habetler. G. J. Tridiagonalization of Completely Nonnegative Matrices... 121

Regan, T. See: Hunter, D. B. & Regan, T. 539

Reiss, Edward L. See: Bauer, Louis & Reiss, Edward L. 311

Rowland, J. H. & Varol, Y. L. Exit Criteria for Simpson's Compound Rule. 699

Seidman, Thomas I. & Korsan, Endpoint Formulas for Interpolatory Cubic Splines. 897

Robert J.

1036 INDEX OF PAPERS BY AUTHORS

Author Title Page

Shanks, Daniel & Lal, Mohan Bateman's Constants Reconsidered and the Distribution

of Cubic Residues. 265

Simpson, R. B. Existence and Error Estimates for Solutions of a Discrete

Analog of Nonlinear Eigenvalue Problems. 359

Singhal, J. P. See: Srivastava, H. M. & Singhal, J. P. 969

Sincovec, Richard F. On the Solution of the Equations Arising from Collocation

with Cubic ß-Splines. 893

Sookne, D. J. See: Olver, F. W. J. & Sookne, D. J. 941

Srivastava, H. M. & A Unified Presentation of Certain Classical Polynomials.. 969

Singhal, J. P.

Stenger, Frank See: Lipow, Peter R. & Stenger, Frank. 917

Strecok, A. J. & High Precision Evaluation of the Irregular Coulomb Wave

Gregory, J. A. Functions. 955

Ström, Torsten Monotonicity in Romberg Quadrature. 461

Sundström, Arne See: Gustafsson, Bertil, Kreiss, Heinz-Otto & Sund-

ström, Arne. 649

Thomee, Vidar See: Bramble, James H. & Thomee, Vidar. 633

Thomee, Vidar See: Bramble, James H., Dupont, Todd & Thomee,

Vidar. 869

Tuan, P. D. & Elliott, David Coefficients in Series Expansions for Certain Classes of

of Functions. 213

Varah, J. M. On the Solution of Block-Tridiagonal Systems Arising

from Certain Finite-Difference Equations. 859

Varol, Y. L. See: Rowland, J. H. & Varol, Y. L. 699

Vasudevan, R. See: Bellman, Richard, Kashef, B. G. & Vasudevan, R. 233

Wagstaff, Samuel S., Jr. On A:-Free Sequences of Integers. 767

Wall, Charles R. Density Bounds for Euler's Function. 779

Wall, Charles R., Crews, Density Bounds for the Sum of Divisors Function. 773

Phillip L. & Johnson,

Donald B.

Weinstein, S. E. Uniform Approximation Through Partitioning. 493

Weiss, Richard Product Integration for the Generalized Abel Equation.... 177

Williams, H. C. & Zarnke, C. R. Some Prime Numbers of the Forms 2^43"+l and 2A3" - 1. 995

Williams, Jack Numerical Chebyshev Approximation by Interpolating

Rationals. 199Wimp, Jet Some Transformations of Monotone Sequences. 251

Young, David M. See: Kincaid, David R. & Young, David M. 705

Zarnke, CR. See: Williams, H. C. & Zarnke, C. R. 995

Zimmer, Horst G. See: Cantor, David G., Galyean, Paul H. & Zimmer,

Horst G. 785

SUBJECT CLASSIFICATION SYSTEMFOR INDEX OF REVIEWS

The following subject classification system is used for the yearly index of reviews. Individual reviews

in the quarterly issues are assigned index classification numbers in simplified form (see MOC, vol.

22, no. 101).

1.00 Biography and Bibliography (History)

2.00 Selected Topics in Numerical Analysis

2.05 Approximation Theory

2.05.1 Least Squares, Curve Fitting, Harmonic Analysis

2.05.2 Chebyshev (Best) Approximation

2.05.3 Interpolation, Extrapolation

2.05.4 Inverse Interpolation

2.05.5 Rational Approximation

2.10 Numerical Integration

2.10.1 One-Dimensional

2.10.2 Multi-Dimensional

2.10.3 Monte Carlo

2.15 Numerical Differentiation

2.20 Roots of Equations

2.25 Evaluation of Series

2.30 Continued Fractions

2.35 Iteration Methods, Acceleration Techniques

2.40 Differences, Divided Differences2.45 Algorithms, General Theory

2.50 Inequalities

2.55 Stability of Computation, Significance Arithmetic

3.00 Linear Algebra

3.05 Matrices

3.10 Linear Equations

3.10.1 Error Analysis

3.15 Eigenvalues and Eigenvectors


3.20 Matrix Inversion and Pseudo-Inverses


3.25 Linear and Nonlinear Programming, Theory of Games


3.30 Determinants

4.00 Ordinary Differential Equations

4.05 Initial Value Problems

4.05.1 Analytic Methods

4.05.1.1 Error Analysis

4.05.2 One-Step Methods


4.05.3 Multistep Methods


1037

1038 SUBJECT CLASSIFICATION SYSTEM FOR INDEX OF REVIEWS

Linear Boundary Value and Eigenvalue Problems



4.10.2 Initital Value (Trial and Error or Shooting) Methods


4.10.3 Finite Difference (Nonshooting) Methods


Nonlinear Boundary Value and Eigenvalue Problems



4.15.2 Initial Value (Trial and Error or Shooting) Methods


4.15.3 Finite Difference (Nonshooting) Methods


5.00 Partial Differential Equations




5.05.2 Explicit Difference Methods


5.05.3 Implicit Difference Methods, Iterative Schemes


5.05.4 Other Approximation Methods


5.10 Boundary Value Problems



5.10.2 Finite Difference Methods, Iterative Schemes




5.15 Eigenvalue Problems







5.20 Mixed Initial and Boundary Value Problems



5.20.2 Explicit Difference Methods


5.20.3 Implicit Difference Methods, Iterative Schemes




6.00 Other Functional Equations

6.05 Difference Equations

6.10 Difference-Differential Equations

6.15 Integral Equations

6.20 Integro-Differential Equations

6.25 Convolution Equations

6.30 Variational Equations

6.35 Abstract Operator Equations

4.10

4.15

SUBJECT CLASSIFICATION SYSTEM FOR INDEX OF REVIEWS 1039

7.00 Special Functions

7.05 Mathematical Constants, Special Polynomials (nonorthogonal) and Numbers:

Bernoulli, Euler, Stirling, Binomial Coefficients; Factorials

7.10 Elementary Functions, Powers and Roots

7.15 Gamma Functions, Psi Functions, Zeta Functions and Related Functions

7.20 Incomplete Gamma Functions

7.20.1 Exponential Integral, Cosine and Sine Integrals and Related Functions

7.20.2 Error Functions, Fresnel Integrals and Related Functions

7.25 Confluent Hypergeometric Functions

7.25.1 Parabolic Cylinder Functions

7.25.2 Coulomb Wave Functions

7.30 Bessel Functions

7.35 Lommel Functions, Struve Functions, Anger-Weber Functions and Associated

Bessel Functions

7.40 Legendre Functions

7.45 Gaussian Hypergeometric Functions

7.50 Orthogonal Polynomials and Functions

7.55 Expansions in Series of Orthogonal Polynomials, Bessel Functions, Other

Functions

7.60 Elliptical Integrals and Functions, Weierstrass Elliptic Integrals, Related Functions

7.65 Mathieu Functions

7.70 Spheroidal Wave Functions, Other Wave Functions

7.75 Generalized Hypergeometric Functions of a Single Variable

7.80 Generalized Hypergeometric Functions of More Than One Variable

7.85 Basic Hypergeometric Functions

7.90 Integral Transforms

7.95 Numerical Tables of Integrals and Transforms

7.100 Numerical Tables of Infinite Series

7.105 Handbooks of Mathematical Tables and Formulae

8.00 Probability and Statistics

8.05 Random Numbers

8.05.1 Tables

8.10 Monte Carlo, Markov Chains

8.15 Multivariate Analysis

8.20 Regression Analysis

8.25 Analysis of Variance

8.30 Time Series Analysis

8.35 Nonparametric Analysis

8.40 Sequential Analysis

8.45 Classical Statistics

8.50 Handbooks of Tables and Formulae

9.00 Number Theory

9.05 Mersenne, Fermat, Perfect and Related Numbers

9.10 Number Theoretic Functions and Tables

9.15 Binomial Congruences, Primitive Roots, Residues, etc.

9.20 Primes and their Distribution

9.25 Factorization

9.30 Forms and Diophantine Equations

9.35 Continued Fractions and Diophantine Approximation

9.40 Normal Numbers and Distribution of Digits

9.45 Modular Computation

10.00 Algebra and Combinatorial Theory

10.05 Groups, Rings, Fields, Algebras

10.10 Finite Fields

1040 SUBJECT CLASSIFICATION SYSTEM FOR INDEX OF REVIEWS

10.15 Irreducible Polynomials

10.20 Arrays, Latin Squares

10.25 Projective Planes, Block Designs, Difference Sets

10.30 Permutations, Combinatorial Identities

10.35 Graph Theory

11.00 Geometry

11.05 Coordinate Conversion Tables

11.10 Polyhedra and Polytopes

11.15 Graph Theory

12.00 Computers and Other Aids to Computation

12.05 Digital Computers

12.05.1 Coding, Programming and Software

12.05.2 Design and Hardware

12.10 Analog Computers


12.15 Digital-Analog {Hybrid) Computers



12.20 Mechanical Aids to Computation—Slide Rules, Desk Calculators, Others

12.25 Nomographs

13.00 Applications

13.05 Physical and Chemical Sciences

13.05.1 Weights and Measures Tables

13.10 Astronomy, Astrophysics

13.10.1 Navigation Tables

13.15 Engineering Sciences

13.15.1 Engineering Tables

13.20 Earth Sciences, Atmospheric Sciences

13.20.1 Triangulation and Geodetic Tables

13.25 Biology and the Behavioral Sciences

13.30 Economics and the Social Sciences

13.35 Information Theory, Automata, Logic Control Theory, Dynamic Programming,

Cybernetics

13.40 Management Problems, Data Analysis and Processing

13.45 Actuarial Science

13.45.1 Actuarial and Financial Tables

13.50 Humanities, Linguistics

14.00 Miscellaneous

14.05 Mathematical Research, Mathematical Education

INDEX OF REVIEWS BY AUTHOR OF WORK REVIEWED

Review

Author Number Classification

Acton, Forman S. 1

Anselone, Philip M. 33

Bark, L. S., Dmetrieva, N. I., 9

Zakhar'ev, L. N. & LemanskiI, A. A.

Birkhoff, Garrett 32

Blum, Ronald, Editor 40

Boland, W. Robert 42

Branders, Maria 51

Butzer, P. L. & Szökefalvi-Nagy, B., 4

Editors

Byrd, P. F. & Friedman, M. D. 34

Byrd, Paul F. & Galant, David C. 43

Caslin, James C. 24

Collatz, L. & Unger, H., 3

EditorsCollatz, L., Meinardus, G., 17

Unger, H. & Werner, H.,

Editors

Daniel, James W. 46

Dawson, Clive B. & Wool, Thomas C. 16

Day, D. D. F. 59Dejon, B. & Henrici, P., Editors 19

De Jong, Jan L. 47

Dmitrieva, N. I. 9

Dubuc, R., Lambert-Carez, G., 57

Gratton, M., Roy, L. & Shapiro, A.

FjIdel'man, S. D. 7

Falb, Peter L. & De Jong, Jan L. 47

Fenyö, Stefan 31

Fettis, Henry E. & Caslin, James C 24

Friedman, M. D. 34

Fry, T. F. 58Galant, David C. 43

Galler, B. A. & Perlis, A. J. 39

Ghizzetti, A. & Ossicini, A. 28Glonti, E. N. 45

Gould, H. W. 14Gratton, M. 57

Grossman, Fred 13

Henrici, P. 19

Hill, G. W. 53

Householder, A. S. 6

Hull, T. E. & Day, D. D. F. 59

Page

2.00, 2.10, 2.20, 2.35, 3.15, 4.00 2876.15, 6.35 8037.00, 7.65 296

5.10, 5.10.1, 5.10.2, 5.10.3 80212.05.3 8102.10 1015See: Piessens, Robert &

Branders, Maria 1022

2.05, 3.00, 4.00, 5.00, 6.00 290

7.60 8042.10 1015See: Fettis, Henry E. & Caslin, James C. 5942.05, 2.35, 2.55, 5.00, 6.00 290

2.05.2, 2.05.3, 2.20, 2.35, 3.15, 3.20.1, 4.00,5.00, 6.30, 6.35 585

2.35, 6.00, 13.35 101712.05.1 303See: Hull, T. E. & Day, D. D. F. 10272.20 588See: Falb, Peter L. & De Jong, Jan L. 1019

See: Bark, L. S., Dmitrieva, N. I.,

Zakhar'ev, L. N. & LemanskiI, A. A. 29612.00 1025

5.00 2942.35, 13.35 10193.00 8017.00 594See: Byrd, P. F. & Friedman, M. D. 804

12.00 1026See: Byrd, Paul F. & Galant, David C. 1015

12.05.1 8092.10,2.10.1,7.05,7.15 7972.10, 7.00 10177.10 302See: Dubuc, R., Lambert-Carez, G.,

Gratton, M., Roy, L. & Shapiro, A. 1025

See: Klerer, Melvin &

Grossman, Fred 301

See: Dejon, B. & Henrici, P.,

Editors 5888.00 10232.20,2.35 29312.05.1 1027

1041

1042 INDEX OF REVIEWS BY AUTHOR OF WORK REVIEWED

Review

Author Number Classification Page

Karst, Edgar 35 9.00 806

Klerer, Melvin & Grossman, Fred 13 7.105 301

Kochendörffer, Rudolf 56 10.05 1025

Krylov, V. I. & Pal'tsev, A. A. 18 2.10 588Kuhn, Harold W., 20 3.25 589

EditorKuntsevich, I. M., Olekhnovich, N. M. 26 7.10, 13.05 595

& Sheleg, A. U.

Lambert-Carez, G. 57 See: Dubuc, R., Lambert-Carez, G.,

Gratton, M., Roy, L. & Shapiro, A. 1025Lapidus, Leon & Seinfeld, John H. 22 4.00,4.05 592

Lee, Elvin J. & Madachy, Joseph S. 36 9.00 806

LemanskiI, A. A. 9 See: Bark, L. S., Dmitrieva,

N. I. Zakhar'ev, L. N. &

LemanskiI, A. A. 296Lin, Jung 30 See: Ling, Chih-Bing & Lin, Jung 801Ling, Chih-Bing & Lin, Jung 30 2.20, 2.40 801Luke, Yudell L. 10 7.00 297

Madachy, Joseph S. 36 See: Lee, Elvin J. & Madachy, Joseph S. 806

Mangasarian, O. L. 48 See: Rosen, J. B., Mangasarian, O. L.

& Ritter, K., Editors 1020

Meecham, William C 11 See: Miller, Kenneth L.,

Molmud, Paul &

Meecham, William C. 299

Meinardus, G. 17 See: Collatz, L., Meinardus, G.,

Unger, H. & Werner, H., Editors 585

Miller, J. C. P. 54 9.00 1024

Miller, Kenneth L., Molmud, Paul & 11 7.00 299

Meecham, William C.

Mitchell, A. R. 8 5.00 295

Molmud, Paul 11 See: Miller, Kenneth L.,

Molmud, Paul &

Meecham, William C. 299

Mosier, C. & Shillady, D. D. 50 7.00 1022

Mufti, I. H. 41 13.35 811

Olekhnovich, N. M. 26 See: Kuntsevich, I. M.,

Olekhnovich, N. M. & Sheleg, A. U. 595Ondrejka, Rudolf 37 9.00 807

Ossicini, A. 28 See: Ghizzetti, A. & Ossicini, A. 797

Pal'tsev, A. A. 18 See: Krylov, V. I. & Pal'tsev, A. A. 588

Paxson, G. Aaron 38 9.00 807

Perlis, A. J. 39 See: Galler, B. A. & Perlis, A. J. 809

Piessens, Robert 5 2.10,7.00 292

Piessens, Robert 44 2.10 1016

Piessens, Robert & Branders, Maria 51 7.00 1022

Polak, E. 29 2.20, 2.35, 3.25, 13.35 798

Potter, Elinor 12 See: Robinson, H. P. &. Potter, Elinor 300

Prabhu, Swarnalata 25 7.00 594

Pshenichnyi, B. N. 21 3.25 591

Ritter, K. 48 See: Rosen, J. B., Mangasarian, O. L.

& Ritter, K., Editors 1020Robinson, H. P. &. Potter, Elinor 12 7.00 300

INDEX OF REVIEWS BY AUTHOR OF WORK REVIEWED 1043

Review

Author Number

Rosen, J. B., Mangasarian, O. L. & 48

Ritter, K., Editors

Roy, L. 57

Seidel, Kenneth P. 60

Seinfeld, John H. 22

Shapiro, A. 57

Sheleg,A. U. 26

Shillady, D. D. 50

Shimura, Goro 52

Spivey, W. Allen & Thrall, Robert M. 49

Szökefalvi-Nagy, B. 4

Talbot, A., Editor 2

Thrall, Robert M. 49

Unger, H. 3

Unger, H. 17

Vladimirov, V. S. 23

Wada, Hideo 15

Weintraub, Sol 27

Werner, H. 17

Wool, Thomas C. 16

Yates, Samuel 55

Zakhar'ev, L. N. 9

Classification Page

3.25 1020

See: Dubuc, R., Lambert-Carez, G.,


12.05.1 1027See: Lapidus, Leon & Seinfeld, John H. 592

See: Dubuc, R., Lambert-Carez, G.,


See: Kuntsevich, L M.,

Olekhnovich, N. M. & Sheleg, A. U. 595

See: Mosier, C. & Shillady, D. D. 1022

7.00, 7.60 10223.25, 13.40 1021See: Butzer, P. L. &

Szökefalvi-Nagy, B., Editors 290

2.05 288See: Spivey, W. Allen &

Thrall, Robert M. 1021

See: Collatz, L. & Unger, H. 290

See: Collatz, L. Meinardus, G.,

Unger, H. & Werner, H., Editors 5855.00, 5.05, 5.10, 5.15, 5.20, 6.15 5939.00 3029.00 596See: Collatz, L., Meinardus, G.,

Unger, H. & Werner, H., Editors 585

See: Dawson, Clive B. &

Wool, Thomas C. 303

9.00 1024See: Bark, L. S., Dmitrieva, N. I.,

Zakhar'ev, L. N. & LemanskiI, A. A. 296

INDEX OF REVIEWS BY SUBJECT OF WORK REVIEWED

Author

2.00 Selected Topics in Numerical Analysis

Title

Acton, Forman S.

2.05 Approximation Theory

Butzer, P. L. & Szökefalvi-Nagy, B.,

Editors

Collatz, L. & Unger, H., Editors

Talbot, A., Editor

1 Numerical Methods that Work

4 Abstract Spaces and Approximation

3 Funktionalanalytische Methoden der

Numerischen Mathematik

2 Approximation Theory

2.05.2 Chebyshev (Best) Approximation

Collatz, L., Meinardus, G., 17 Iterationsverfahren, Numerische Mathe-

Unger, H. & Werner, H., Editors matik, Approximationstheorie

1044 INDEX OF REVIEWS BY SUBJECT OF WORK REVIEWED

2.05.3 Interpolation, Extrapolation

Collatz, L., Meinardus, G.,

Unger, H. & Werner, H., Editors

2.10 Numerical Integration

Acton, Forman S.

Boland, W. Robert

Byrd, Paul F. & Galant, David C.

Ghizzetti, A. & Ossicini, A.

Glonti, E. N.

Krylov, V. I. & Pal'tsev, A. A.

Piessens, Robert

Piessens, R.

2.10.1 One-Dimensional

Ghizzetti, A. & Ossicini, A.

2.20 Roots of Equations

Acton, Forman S.


Unger, H. &. Werner, H., Editors

Dejon, B. & Henrici, P., Editors

Householder, A. S.

Ling, Chih-Bing & Lin, Jung

Polak, E.

17 Iterationsverfahren, Numerische Mathe-

matik, Approximationstheorie


42 Coefficients for Product-Type Quadrature

Formulas

43 Gauss Quadrature Rules Involving Some

Nonclassical Weight Functions

28 Quadrature Formulae

45 Tables of the Roots and Quadrature Coeffi-

cients of Jacobi Polynomials

18 Tables for Numerical Integration of Func-

tions with Logarithmic and Power

Singularities5 Gaussian Quadrature Formulas for the

Numerical Integration of Bromwich's

Integral and the Inversion of the Laplace

Transform

44 Gaussian Quadrature Formulae for

Integrals Involving Bessel Functions

28 Quadrature Formulae

117

19

30

29

Numerical Methods that Work

Iterationsverfahren, Numerische Mathe-


Constructive Aspects of the Fundamental

Theorem of Algebra

KWIC Index for the Numerical Treatment

of Nonlinear Equations

Values of Coefficients in Problems of

Rotational Symmetry

Computational Methods in Optimization:

A Unified Approach

2.35 Iteration Methods, Acceleration Techniques

Acton, Forman S. 1

Collatz, L. & Unger, H., Editors, 3

Collatz, L., Meinardus, G., 17


Daniel, James W. 46

Falb, Peter L. & De Jong, Jan L. 47

Householder, A. S. 6

Polak, E. 29

2.40 Differences, Divided Differences

Ling, Chih-Bing & Lin, Jung 30

Numerical Methods that Work

Funktionalanalytische Methoden der


Iterationsverfahren, Numerische Mathe-


The Approximate Minimization of Func-

tional

Some Successive Approximation Methods

in Control and Oscillation Theory

KWIC Index for the Numerical Treatment

of Nonlinear Equations

Computational Methods in Optimization:

A Unified Approach

Values of Coefficients in Problems of

Rotational Symmetry

585

287

1015

1015797

1017

588

292

1016

797

287

585

588

293

801

798

287

290

585

1017

1019

293

798

801

INDEX OF REVIEWS BY SUBJECT OF WORK REVIEWED 1045

Author Title Page

2.55 Stability oj Computation, Significance Arithmetic


3.00 Linear Algebra


Editors

Fenyö, Stefan

3.15 Eigenvalues and Eigenvectors

Acton, Forman S.



Funktionalanalytische Methoden der


4 Abstract Spaces and Approximation

31 Moderne Mathematische Methoden in der

Technik




290

290

801

287

585

3.20 Matrix Inversion and Pseudo Inverses





matik, Approximationstheorie 585

3.25 Linear and Nonlinear Programming, Theory oj Games

20 Proceedings of the Princeton Symposium on

Mathematical Programming

29 Computational Methods in Optimization:

Kuhn, Harold W., Editor

Polak, E.

Pshenichnyi, B. N.

Rosen, J. B., Mangasarian, O. L. &

Ritter, K., Editors

Spivey, W. Allen & Thrall, Robert M.

4.00 Ordinary Differential Equations

Acton, Forman S.Butzer, P. L. & Szökefalvi-Nagy, B.,

EditorsCollatz, L., Meinardus, G.,


Lapidus, Leon & Seinfeld, John H.


Lapidus, Leon & Seinfeld, John H.

5.00 Partial Differential Equations


Editors




A Unified Approach

21 Necessary Conditions for an Extremum

48 Nonlinear Programming

49 Linear Optimization

589

798591

1020

1021

EIdel'man, S. D.

Mitchell, A. R.

Vladimirov, V. S.

1 Numerical Methods that Work 2874 Abstract Spaces and Approximation 290



22 Numerical Solution of Ordinary Differential

Equations 592

22 Numerical Solution of Ordinary Differential

Equations 592

4 Abstract Spaces and Approximation 290




Numerischen Mathematik 290

7 Parabolic Systems 294

8 Computational Methods in Partial Differen-

tial Equations 295

23 Equations of Mathematical Physics 593


Author Title


Vladimirov, V. S.

5.10 Boundary Value Problems

BlRKHOFF, garrett

Vladimirov, V. S.

5.10.1 Analytic Mehods

BlRKHOFF, garrett

23 Equations of Mathematical Physics

32 The Numerical Solution of Elliptic

Equations



Equations


Birkhoff, Garrett 32 The Numerical Solution of Elliptic


Birkhoff, Garrett

5.15 Eigenvalue Problems

Vladimirov, V. S.

Equations


Equations


5.20 Mixed Initial and Boundary Value Problems

Vladimirov, V. S.

6.00 Other Functional Equations


Editors


Daniel, James W.

6.15 Integral Equations

Anselone, Philip M.

Vladimirov, V. S.

6.30 Variational Equations



6.35 Abstract Operator Equations

Anselone, Philip M.



7.00 Special Functions

Bark, L. S., Dmitrieva, N. I.,

Zakhar'ev, L. N. & LemanskiI, A. A.

Fettis, Henry E. & Caslin, James C.


Abstract Spaces and Approximation



46 The Approximate Minimization of

Functionals

33 Collectively Compact Operator Approxi-

mation Theory and Applications to

Integral Equations




33 Collectively Compact Operator Approxi-

mation Theory and Applications to

Integral Equations

17 Iterationsfervahren, Numerische Mathe-


9 Tables of Characteristic Values of the

Mathieu Equation

24 Ten Place Tables of the Jacobian Elliptic

Functions: Part III

INDEX OF REVIEWS BY SUBJECT OF WORK REVIEWED 1047

Author Title Page

Glonti, E. N.

Luke, Yudell L.

Miller, Kenneth L., Molmud, Paul &

Meecham, William C.

45 Tables of the Roots and Quadrature Coeffi-

cients of Jacobi Polynomials

10 The Special Functions and their Approxi-

mations

11 Table of the Functions G(x + iv) =

Jo /(r - (x + iy))dt and F(x + iy)

= /- rtr'70 - (x + iy))dt50 A Fast, Accurate Approximation for F0(z)

Occurring in Gaussian Lobe Basis

Electronic Calculations

5 Gaussian Quadrature Formulas for the

Numerical Integration of Bromwich's

Integral and the Inversion of the Laplace

Transform

51 Chebyshev Polynomial Expansions of the

Riemann Zeta Function

25 Tables of the Incomplete Beta Function

for Small Values of the Parameters

12 Mathematical Constants

52 Introduction to the Arithmetic Theory of

Automorphic Functions

Mathematical Constants, Special Polynomials (Nonorthogonal) and Numbers:

Bernoulli, Euler, Stirling, Binomial Coefficients, Factorials

Ghizzetti, A. & Ossicini, A. 28 Quadrature Formulae

7.10 Elementary Functions, Powers and Roots

Gould, H. W. 14 Research Bibliography of Two Special

Number Sequences

26 Tables of Trigonometric Functions for the

Numerical Computation of Electron

Density in Crystals

7.15 Gamma Functions, Psi Functions, Zeta Functions and Related Functions

Ghizzetti, A. & Ossicini, A. 28 Quadrature Formulae

7.60 Elliptic Integrals and Functions, Weierstrass Elliptic Integrals, Related Functions

Mosier, C. & Shillady, D. D.

Piessens, Robert

Piessens, Robert & Branders, Maria

Prabhu, Swarnalata

Robinson, H. P. & Potter, Elinor

Shimura, Goro

7.05

Kuntsevich, I. M., Olekhnovich, N. M.

& Sheleg, A. U.

Byrd, P. F. & Friedman, M. D.

Shimura, Goro

34

52

Handbook of Elliptic Integrals for

Engineers and Scientists

Introduction to the Arithmetic Theory of

Automorphic Functions

7.65 Mathieu Functions

Bark, L. S., Dmitrieva, N. I.,

Zakhar'ev, L. N. & Lemanskii, A. A

9 Tables of Characteristic Values of the

Mathieu Equation

7.105 Handbooks of Mathematical Tables and Formulae

Klerer, Melvin & Grossman, Fred 13

8.00 Probability and Statistics

Hill, G. W. 53

9.00 Number Theory

Karst, Edgar 35

A New Table of Computer Processed,

Indefinite Integrals

Reference Table: "Student's''

Quantiles to 20Dr-Distribution

The Second 2500 Reciprocals and their

Partial Sums of all Twin Primes (p,

p + 2) between (102911, 102913) and

(239387, 239389)

1017

297

299

1022

292

1022

594300

1022

797

302

595

797

804

1022

296

301

1023

806


Author

Lee, Elvin J. & Madachy, Joseph S.

Miller, J. C. P.

Ondrejka, Rudolf

Paxson, G. Aaron

Wada, Hideo

Weintraub, Sol

Yates, Samuel

Title

36 The History and Discovery of Amicable

Numbers—Part I

54 Primitive Root Counts

37 Mersenne Primes and Perfect Numbers

38 Table of Aliquot Sequences

15 A Table of Fundamental Units of Purely

Cubic Fields27 Distribution of Primes between 10" and

1014 + 10s

55 Partial List of Primes with Decimal Periods

Less than 3000

10.00 Algebra and Combinatorial Theory

10.05 Groups, Rings, Fields, Algebras

Kochendörffer, Rudolf 56

12.00

Group Theory

Computers and Other Aids to Computation

Dubuc, R., Lambert-Carez, G.,

Gratton, M., Roy, L. & Shapiro, A.

Fry, T. F.

12.05 Digital Computers

57 Dictionnaire Anglais-Francais, Francais-

Anglais de l'lnformalique

58 Computer Appreciation

Page

8061024807807

302

596

1024

1025

10251026


16

395960

From Bits to If's An Introduction to

Computers and Fortran IV

A View of Programming Languages

Computers and Problem Solving

Cobol

Computers in Undergraduate Science

Education

303809

10271027

810

Dawson, Clive B. & Wool, Thomas C.

Galler, B. A. & Perlis, A. J.

Hull, T. E. & Day, D. D. F.Seidel, Kenneth P.

12.05.3 Computer Aided Instruction

Blum, Ronald, Editor 40

13.00 Applications

13.05 Physical and Chemical Sciences

13.05 Weights and Measures Tables

Kuntsevich, I. M., Olekhnovich, N. M. 26 Tables of Trigonometric Functions for the

& Sheleg, A. U. Numerical Computation of Electron

Density in Crystals 595

13.35 Information Theory, Automata, Logic, Control Theory, Dynamic

Programming, Cybernetics

46 The Approximate Minimization of

Functionals 1017

Daniel, James W.

Falb, Peter L. & De Jong, Jan L.

Mufti, I. H.

Polak, E.

47 Some Successive Approximation Methods in

Control and Oscillation Theory 1019

41 Computational Methods in Optimal

Control Problems 811

29 Computational Methods in Optimization:

A Unified Approach 798

13.40 Management Problems, Data Analysis and Processing

Spivey, W. Allen & Thrall, Robert M. 49 Linear Optimization 1021

INDEX OF TABLE ERRATA 1049

INDEX OF TABLE ERRATA

No. Author Title Page

498 Abramowitz, Milton & Handbook of Mathematical Functions with

Stegun, Irene A., Editors Formulas, Graphs, and Mathematical Tables.. 1029

488 Byrd, P. F. & Friedman, M. D. Handbook of Elliptic Integrals for Engineers and

Physicists. 597489 Collatz, L. The Numerical Treatment of Differential Equa-

tions . 597495 Davis, Harold T. Tables of the Higher Mathematical Functions .. 813

490 Erdelyi, A. Magnus, W., Higher Transcendental Functions. 598

Oberhettinger, F. &

Tricomi F. G.491 Erdelyi, A. Magnus, W., Tables of Integral Transforms, Vols. I and II ... 599

Oberhettinger, F. &

Tricomi F. G.496 Fried, Burton D. & The Plasma Dispersion Function: The Hilbert

Conte, Samuel D. Transform of the Gaussian . 814

486 Gradshteyn, I. S. &. Ryzhik, I. M. Table of Integrals, Series, and Products. 305

492 Gradshteyn, I. S. & Ryzhik, I. M. Table of Integrals, Series, and Products. 599

493 Henderson, F. M. Elliptic Functions with Complex Arguments.... 599

499 Jarden, Dov Recurring Sequences, 2nd ed. 1029

497 Poulet, P. "Table des nombres composes verifiant le

theoreme de Fermat pour le module 2 jusqu'ä

100.000.000.". 814487 Robinson, H. P. & Potter, Elinor Mathematical Constants. 305

494 Shao, T. S., Chen, T. C. & "Tables of zeros and Gaussian weights of

Frank, R. M. certain associated Laguerre polynomials and

the related generalized Hermite polynomials" 813

INDEX OF CORRIGENDA

Author

Abramowitz, Milton &

Stegun, Irene A., Editors

Cody, W. J. & Hillstrom, K. E.

Gradshteyn, I. S. & Ryzhik, I. M.

Lavoie, J. L. & Michaud, R.

Luke, Yudell L.

Stenger, Frank

Title Page

Wimp, Jet

Handbook of Mathematical Functions with

Formulas, Graphs and Mathematical Tables 309

"Chebyshev approximations for the Coulomb

phase shift" 1031Table of Integrals, Series, and Products, 4th ed. 601

"Explicit expressions for the determinants

of certain matrices" 309

"Miniaturized Tables of Bessel Microfiche card,

Functions. II", Math. Comp., October issue

v. 25, 1971, pp. 789-795 and the ac-companying microfiche.

Tabulation of Certain Fully Symmetric Numerical

Integration Formulas of Degree 7, 9 and 11,

review #37, Math. Comp., v. 25, p. 935 815

"Polynomial expansions of Bessel functions and

some associated functions" 309

INDEX OF MICROFICHE SUPPLEMENTS

Author Title MOC Issue

Cheema, M. S. & Conway, W. E. Tables of Partition Numbers October

Hayes, J. K., Kahaner, D. K. & An Improved Method for Numerical

Kellner, R. G. Conformal Mapping April

1050 INDEX OF MICROFICHE SUPPLEMENTS

Author Title Page

Luke, Yudeix L.

Luke, Yudell L.

Piessens, Robert

Piessens, Robert & Branders, Maria

Strecok, A. J. & Gregory, J. A.

Wall, Charles R.

Tables for the Coefficients in the Expansion

of y„(z) and A^v). January

"Miniaturized Tables of Bessel Func-

tions. II" October

Gaussian Quadrature Formulae for Integrals

Involving Bessel Functions October

Chebyshev Polynomial Expansions of the

Riemann Zeta Function October

"Tables for Approximating Irregular

Coulomb Functions: G0(ij, p) and G0'(i?, p)" October

Table of Density Bounds for Euler's

Function July

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