a certain siam review

8/11/2019 A certain SIAM review

1/7

Volume Information

Source: SIAM Review, Vol. 19, No. 4 (Oct., 1977)Published by: Society for Industrial and Applied MathematicsStable URL: http://www.jstor.org/stable/2030243.

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2/7

SIAM

REVIE

VOLUME

19

* 1977

Managing

Editor W E.

BOYCE

Editors

D.

S COHEN

W. FLEMING

G.

H.

GOLUB

M.

S.

KLAMKIN

H

F

MATTSON JR.

F.

S.

ROBERTS

J. T. STUART

Problems

and Solutions

Editor

R.

M.

THRALL

Classroom

Notes

Editor

A. WOUK

Book

Review Editor

M. S. KLAM

KIN

Education

in

Applied

Mathematics

A.

WOU

K

Editor

W.

E. BOYCE

Copyright

1977 by heSociety or ndustrialnd Applied

Mathematics,hiladelphia, ennsylvania

http://www.jstor.org/page/info/about/policies/terms.jsphttp://www.jstor.org/page/info/about/policies/terms.jsphttp://www.jstor.org/page/info/about/policies/terms.jsp


3/7

Author

ndex forVolume

19

ARTICLES

MARK J. ABLOWITZ:

Nonlinear Evolution

Equations Continuous and

Discrete

....................................................

663

A. D.

ALAWNEHAND R. P. KANWAL:Singularity ethods n

Mathemat-

ical

Physics

.................................................. 437

S. BARNETT

AND

D.

D.

SILJAK: Routh's

Algorithm:

A

Centennial

urvey

472

AKE

BJORCKAND

GENE

H.

GOLUB: Eigenproblems

for Matrices Associ-

ated with

PeriodicBoundary

Conditions ...... .................. 5

JANECRONIN: Some

Mathematics of

Biological Oscillations

.....

.......

100

J.

E.

DENNIS, JR.

AND

JORGEJ.

MORE: Quasi-Newton

Methods, Motiva-

tionand Theory ............. ................................ 46

WIKTORECKHAUS:

Formal

Approximations nd Singular

Perturbations.

593

GEORGE M.

EWING: Sufficient

Conditions for Global Minima of

Suitably

Convex Functionals

romVariational

nd

Control

Theory

... ..... 202

GENE H. GOLUB: (See

AKE BJORCK)

STANLEY P.

GUDDER: Convexity nd

Mixtures ..... .................. 221

C.

M. HAALAND

AND E. P.

WIGNER: Defense of Cities

by

Antiballistic

Missiles

..............................

279

R.

P.

KANWAL: See A. D. ALAWNEH)

ROBERT H.

KUPPERMAN ND

HARVEYA.

SMITH: The Role of Population

Defense in MutualDeterrence .................. ......... 297

ARVID

T.

LONSETH:Sources and

Applications f IntegralEquations .... 241

A.

G. MACKIE:An

Example from

Mechanics

Illustrating lassical

and

Modern

Mathematical

echniques ..........................

517

G. H.

MEYER:

One-Dimensional Parabolic Free

BoundaryProblems....

17

JORGE .

MORE:

(See

J.

E.

DENNIS, JR.)

C. P. NEUMANAND D.

I.

SCHONBACH: valuation of Sums of Convolved

Powers

Using Bernoulli

Numbers

..............................

90

D.

I.

SCHONBACH: See

C.

P.

NEUMAN)

SURESH P.

SETHI:

Dynamic Optimal Control

Models

in

Advertising:

A

Survey ..............................

685

D.

D. SILJAK: (See S.

BARNETT)

HARVEY A.

SMITH: (See

ROBERTH. KUPPERMAN)

G.

W.

STEWART:

On the

Perturbation of

Pseudo-Inverses, Projections

and

Linear

Least Squares Problems

..........................

634

RAIMOND A.

STRUBLE:Analyticaland Algebraic

Aspects of the

Opera-

tional

Calculus

...........................

403

PAUL N.

SWARZTRAUBER: he Methods of

Cyclic

Reduction,

Fourier

Analysis

and

the FACR

Algorithm

for the

Discrete Solution of

Poisson's

Equation

on a

Rectangle

........................... 490

R. P. TEWARSON:Use of Smoothing and Damping Techniques in the

Solution of

Nonlinear

Equations

........................... 35

RENE

THOM: Structural

Stability,

Catastrophe Theory,

and

Applied

Mathematics

..........................

189



4/7

E. P.

WIGNER:

See C. M.

HAALAND)

DAVID J.

WQLLKIND:

Singular Perturbation Techniques:

A Comparison

of the Method of Matched AsymptoticExpansions with that of

Multiple

Scales

...............................................

502

G. ZELMER: On Interpolating Polynomials of Minimal Degree

.... .....

1

EDUCATION IN APPLIED MATHEMATICS

JEROME SPANIER:

The Claremont Mathematics Clinic ..... .............

536

CLASSROOM NOTES IN APPLIED MATHEMATICS

A.

W. BUSH, M. CROSS

AND

R. D.

GIBSON:

The Monitoring f Airborne

Dust and Grit

................................................

140

KAI-CHING CHU:

(See C. K.

WONG)

GEORGE CORLISS: Which Root Does the Bisection Algorithm

Find?

....

325

M.

CROSS:

See A. W. BUSH)

R. D.

GIBSON:

(See A. W.

BUSH)

A. A.

GOLDSTEIN:

Optimal

Temperament

...... .....................

554

R.

C. GRIMSON:

The

Pig

House

Problem or

The

Detection

and

Measure-

ment of Pairwise Associations

..................................

727

DAVID

A.

SA NCHEZ:

Populations and Harvesting

..... ................

551

L.

E. THOMAS:

A

Model

for

Drug

Concentration .....

................ 732

C.

K.

WONG

AND

KAI-CHING

CHU:

Average

Distances

in Ip Disks ...... 320

PROBLEMS

P.

BARRUCAND:

wo

Inequalities ........

...........................

737

I.

CAHIT:

A

Conjectured Minimum Valuation

Tree ..... .............. 564

L. CARLITZ:

A

System

of Second Order Differential

Equations

......... 736

PETER

FLOR: Conjectured Inequalities ....... ........................ 563

M. L.

GLASSER:

A

Conjectured Increasing

Infinite Series .... .........

148

M.

L.

GLASSER:

A

Definite Integral

....... ......................... 329

M. L.

GLASSER: (See

L.

WIJNBERG)

P.

W. KARLSSON:

A

Gaussian Hypergeometric Function Identity .......

146

ILIA

KAUFMAN:

A

Property

of

the

First Erland

Function

..... .......... 564

M. S. KLAMKIN:A Two Point Triangle Inequality ..... ............... 329

G.

K.

KRISTIANSEN:

A

Matrix

Convergence

Problem

..................

564

A. M.

LIEBETRAU:

An

Infinite Summation ...... .....................

736

I. NASELL: When is the Modified Bessel Function Equal to its Derivative? 737

DANNY

NEWMAN:

A

Coin Tossing Problem

...........

...............

563

I.

RUBINSTEIN:

A

First

Order Nonlinear Differential Equation

.........

736

I.

J. SCHOENBERG:

A

Triangle Inequality ............

................ 329

P.

J.

SCHWEITZER:

A

Definite Integral of N. Bohr .....

...............

147

L. A.

SHEPP:

A

Boundedness

Condition

.............................

328

A.

UNGAR:

Solutions to Linear Partial Differential Equations Involving

ArbitraryFunctions ............ ............................... 147

R.

A.

WALLER AND M. S. WATERMAN:Percentiles for the Gamma

Distribution

.

................................................

146

M.

S.

WATERMAN:See

R. A.

WALLER)



5/7

L.

WIJNBERG AND M. L.

GLASSER: Correction

to Problem

76-10,

A

Bessel

Function

Series

..........

..............................

148

J.

E.

WILKINS,

JR.:

An

Integral

Inequality

...........................

328

SOLUTIONS

L.

C.

ANDREWS:

76-6, An

n-th

Order Linear

Differential

Equation

(KLAMKIN)

...................................................

155

D.

R.

BREACH:

76-14,

Three

Multiple

Summations

(CARLITZ)

..........

567

A. R.

CURTIS:

76-9,

A

Matrix

Stability

Problem

(VENIT)

....

..........

331

P.

ERDOS:

76-5,

An

Arithmetic

Conjecture

(NEWMAN)

.....

............. 154

P.

M.

GIBSON:

76-15,

Monotone

Submatrices

(BERMAN

AND

NEUMANN)

568

M.

L.

GLASSER:

(See

L.

WIJNBERG)

DENNIS

C.

JESPERSEN:

76-20,

On

the

Extreme

Eigenvalues

of

an

n

Matrix

(BUSHARD)

.742

W. B.

JORDAN:

76-2,

An

Infinite

Sum

(GELLER) .....

................

150

W. B.

JORDAN:

76-13, An

Average

Relative

Speed

Approximation

(ARNOLD, DODSON AND

ROSEN)

.......

......................... 565

W. B.

JORDAN:

76-22,

A Zero

of Maximum

Multiplicity

(LIRON

AND

RUBENFELD)

.

................................................. 743

D.

E.

KNUTH: 76-17,

A

Reverse

Card Shuffle

(BERMAN AND

KLAMKIN) 739

P.

LEVY:

76-11,

A

Bessel

Function

Summation

(BERNDT)

....

.........

333

M. H.

MOORE:

76-8,

A

Matrix

Inequality (ANDERSON

AND

TRAPP) ......

329

I.

OLKIN:76-18,

A

Monotonicity

Property

for Moments

(JAGERS)

.......

741

IWAO SUGAI:

76-4, Geometric Probability

(SUGAI)

..... ............... 152

L.

WIJNBERG AND

M.

L.

GLASSER:

76-10,

A

Bessel

Function

Series

(WIJNBERG AND

GLASSER)

.........

............................. 332

D.

J. WILSON:

76-1,

The

Game of

Slash

(BERMAN) .....

..............

149

L.

J.

YANG:

75-19, A

Polynomial

Inequality

(STOLARSKY

AND

YANG)

...

737

BOOK

REVIEWS

J.

ACZEL

AND

Z.

DAROCZY:

On

Measures of

Information

and

their

Characterizations

(L.

L.

CAMPBELL) ......

...................... 577

I. YA.

BAKEL'MAN:

Inversions

(PRESTON

C.

HAMMER) .....

............

170

D. J.

BELL AND

D. H.

JACOBSON: Singular Optimal Control Problems

(HANS

SAGAN)

.....

.........................................

575

EDWARD

J.

BELTRAMI: An

Algorithmic

Approach to

Nonlinear

Analysis

and

Optimization

(M.

Z.

NASHED)

......

.......................

341

NORMAN

BIGGS:

Algebraic

Graph

Theory

(IZAK

Z.

BOUWER)

...........

570

IAN F.

BLAKE

AND

RONALD C.

MULLIN: The

Mathematical

Theory of

Coding

(E.

F.

ASSMUS,

JR.)

........

........................... 175

PETER

BLOOMFIELD:

Fourier

Analysis

of

Time

Series:

An

Introduction

(RALPH

A.

WILLOUGHBY)

.........

.............................

745

G. W.

BLUMAN

AND

J.

D.

COLE:

Similarity

Methods

for

Differential

Equations (W. E.

OLMSTEAD)

........ .......................... 164

PAUL

BURROWS AND

THEODORE

HITIRIS:

Macroeconomic

Theory (RUTH

R.

SHEN)

.................................................... 571

GEORGE F.

CARRIER AND

CARL

E.

PEARSON:

Partial

Differential

Equa-

tions

(F.

OBERHETTINGER)

......................................

748



6/7

ERHAN

I;INLAR:

Introduction to

Stochastic Processes

(A.

0.

PITTENGER).

573

J. D.

COLE: (See G. W.

BLUMAN)

D. R.

Cox

AND D. V.

HINKLEY:

Theoretical Statistics (HOWARD REIN-

HARDT)

......................................................

746

JAMES W.

DANIEL: The

Approximate Minimization

of Functionals

(M.

Z.

NASHED)

...................................................341

Z.

DAROCZY: (See J.

ACZEL)

BRUNO

DE

FINETTI:

Theory

of

Probability,

Vol. 1

(H.

E.

REINHARDT)

...

339

VLADIMIR F.

DEMYANOV

AND ALEKSANDER

M.

RUBINOV: Approximate

Methods

in

Optimization Problems

(M.

Z.

NASHED) .... ..........

341

J.

DIEUDONNt: Treatise

on

Analysis,

Vol.

IV

(ROBERT

HERMANN)

......

750

S. V.

FoMIN: Number

Systems

(PRESTON

C.

HAMMER)

.....

............

171

F.

G.

FRIEDLANDER: The Wave

Equation

on a

Curved

Space-time

(DONALD

A.

LUDWIG)

.........................................

582

AVNER

FRIEDMAN: Stochastic

Differential

Equations

and

Applications,

Vol.

1

(WENDELL H.

FLEMING) .......

..........................

366

AVNER

FRIEDMAN:

Stochastic

Differential

Equations

and

Applications,

Vol.

2

(WENDELL

H.

FLEMING)

........ .........................

367

K.

S.

Fu:

Syntactic

Methods

in Pattern

Recognition

(PATRICK SUPPES)

..

746

STEVEN A.

GAAL: Linear

Analysis and

Representation

Theory (ROBERT

T.

M

OORE)

...................................................

358

ARTHUR

GELB: Applied

Optimal Estimation

(WILLIAM

L.

BROGAN)

.....

172

B. W.

GNEDENKO

AND

I.

N.

KOWALENKO:

Einfiihrung

in die

Bedienungs-

theorie

(LAJOS

TAKACS) ................

......................

336

Z.

GOVINDARAJULU:

Sequential Statistical Procedure

(ASHIM

MALLIK)

...

167

OTOMAR

HAJEK: Pursuit

Games (EMILIO

0.

ROXIN) ........

...........

584

MAGNUS R.

HESTENES:

Optimization

Theory;

The

Finite Dimensional

Case

(JANE CULLUM)

..........................................

750

EINAR HILLE:

Ordinary

Differential

Equations in the

Complex Domain

(WILFRED

KAPLAN)

...........................................

749

D. V.

HINKLEY: (See D.

R. Cox)

THEODORE HITIRIS:

(See

PAUL

BURROWS)

R. R.

HUILGO: Continuum

Mechanics

of

Viscoelastic

Liquids

(A.

C.

PIPKIN)

.......................................................

747

JOHN

DAVID

JACKSON: Classical

Electrodynamics

(K.

K.

LEE)

..........

169

D.

H.

JACOBSON:

(See

D.

J.

BELL)

SAMUEL

KARLIN

AND

HOWARD M.

TAYLOR:

A First Course

in Stochastic

Processes

(GEORGE

H.

WEISS)

.......

...........................

158

JACK P.

C.

KLEIJNEN:

Statistical

Techniques in

Simulation,

Part

II

(NILS

B

LOMQVIST)

..................................................

752

B.

Yu. KOGAN: The

Application of

Mechanics to Geometry (PRESTON

C.

HAMMER)

.....................................................

171

I.

N.

KOWALENKO:

(See

B. W.

GNEDENKO)

L.

KUIPERS AND

H.

NIEDERREITER:

Uniform

Distribution of

Sequences

(WILLIAM

J.

LEVEQUE)

........................................

168

SIDNEY

LEIBOVICH AND

A.

RICHARD

SEEBASS:

Nonlinear

Waves (MARK

J.

ABLOW

ITZ)

................................................

368



7/7

SIR JAMES LIGHTHILL: Mathematical Biofluiddynamics (MICHAEL B.

H

STAND)

.................................................... 576

A. I.

MAL'CEV:

Algorithms and Recursive

Functions

(MARTIN DAVIS)

...

573

BELA

MARTOS: Nonlinear Programming (S.

ZLOBEC)

....... ...........

156

E. J.

MCSHANE: Stochastic Calculus and

Stochastic

Models

(MARK

A.

PIN

K

Y

......................................................

583

MARSTON MORSE: Variational

Analysis:

Critical

Extremals

and Sturmian

Extensions (WILLIAM T.

REID)

....... ..........................

159

RONALD C. MULLIN: (See IAN F.

BLAKE)

C. V.

NEGOITA

AND

R. A.

RALESCU:

Applications

of

Fuzzy

Sets to

Systems Analysis (MICHAEL

A.

ARBIB)

..... ..................... 753

H.

NIEDERREITER:

(See

L. KUIPERS)

CARL

E.

PEARSON:

(See GEORGE

F.

CARRIER)

E.

POLAK: Computational Methods in Optimization:

A

Unified

Approach

(M.

Z.

NASHED)

..............................................

341

D.

PRZEWORSKA-ROLEWICZ: Equations

with

Transformed

Argument

(JOHN

A.

NOHEL)

........... ..................................

165

B.

N.

PSHENICHNYI: Necessary

Conditions for

an Extremum

(M.

Z.

NASHED)

.

...................................................

341

R.

A.

RALESCU: (See

C. V.

NEGOITA)

ALEKSANDER

M.

RUBINOV: (See VLADIMIR

F.

DEMYANOV)

A.

RICHARD SEEBASS:

(See SIDNEY LEIBOVICH)

Yu.

A.

SHREIDER: What is Distance?

(PRESTON

C.

HAMMER)

.... ......

171

YASUTAKU

SIBUYA:

Global

Theory

of a

Second Order

Linear

Ordinary

Differential

Equation with a Polynomial Coefficient

(RICHARD

J.

SCHAAR) .................................................... 336

I.

M. SOBOL':

The Monte Carlo Method

(PRESTON

C.

HAMMER) .... ....

171

V. M.

STARZHINSKII:

(See

V. A. YAKUBOVICH)

LAWRENCE

D.

STONE:

Theory of Optimal

Search (BERNARD

0.

Koop-

MAN

..........

..................................

............

361

MITSUO SUGIURA: Unitary Representations and Harmonic Analysis

(GARY

H.

MEISTERS)

.......... ................................

579

HAMDY

A.

TAHA:

Integer Programming: Theory,

Applications,

and

Computations (DAVID

S.

RUBIN) ...............................

338

HOWARD

M. TAYLOR:

(See SAMUEL KARLIN)

V. A.

USPENSKII: Pascal's

Triangle (PRESTON

C.

HAMMER)

.... .........

172

MILTON

VAN

DYKE: Perturbation Methods

in

Fluid Mechanics

(JULIAN

D.

COLE)

.....................................................572

V. A.

YAKUBOVICH AND V. M.

STARZHINSKII: Linear Differential

Equa-

tions

with

Periodic Coefficients

(KENNETH

R.

MEYER)

....

.........

166

D.

V. WIDDER:

The Heat

Equation (DEBORAH TEPPER HAIMO)

.... ..... 364

IZAAK WIRSZUP:

Popular

Lectures

in

Mathematics

(PRESTON

C.

HAMMER)

170

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