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SIAM J. on Applied Mathematics

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1961

Volume 9, Issue 4, pp. 489-699


Numerical Methods and the Bending of Ellipsoidal Shells

G. D. Galletly, W. T. Kyner, and C. E. Moller

J. Soc. Indust. and Appl. Math. 9, pp. 489-513 (25 pages)

Online Publication Date: July 10, 2006

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Abstract Unavailable

The Gradient Projection Method for Nonlinear Programming. Part II. Nonlinear Constraints

J. B. Rosen

J. Soc. Indust. and Appl. Math. 9, pp. 514-532 (19 pages) | Cited 36 times

Online Publication Date: July 10, 2006

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Abstract Unavailable

Random Plane Networks

E. N. Gilbert

J. Soc. Indust. and Appl. Math. 9, pp. 533-543 (11 pages) | Cited 18 times

Online Publication Date: July 10, 2006

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Abstract Unavailable

Almost Strictly Competitive Games

Robert J. Aumann

J. Soc. Indust. and Appl. Math. 9, pp. 544-550 (7 pages) | Cited 6 times

Online Publication Date: July 10, 2006

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Abstract Unavailable

Multi-Terminal Network Flows

R. E. Gomory and T. C. Hu

J. Soc. Indust. and Appl. Math. 9, pp. 551-570 (20 pages) | Cited 126 times

Online Publication Date: July 10, 2006

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Abstract Unavailable

Algorithms for Chebyshev Approximation by $ab^x + c$

John R. Rice

J. Soc. Indust. and Appl. Math. 9, pp. 571-583 (13 pages) | Cited 2 times

Online Publication Date: July 10, 2006

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Diffusion from a Fixed Surface with a Concentration-Dependent Coefficient

Max A. Heaslet and Alberta Alksne

J. Soc. Indust. and Appl. Math. 9, pp. 584-596 (13 pages) | Cited 23 times

Online Publication Date: July 10, 2006

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Abstract Unavailable

On Digit Distributions for Random Variables

Arthur Wouk

J. Soc. Indust. and Appl. Math. 9, pp. 597-603 (7 pages)

Online Publication Date: July 10, 2006

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Abstract Unavailable

An Essay on Prime Implicant Tables

I. B. Pyne and E. J. McCluskey, Jr.

J. Soc. Indust. and Appl. Math. 9, pp. 604-631 (28 pages) | Cited 12 times

Online Publication Date: July 10, 2006

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Abstract Unavailable

A New Matrix Calculus

S. N. N. Pandit

J. Soc. Indust. and Appl. Math. 9, pp. 632-639 (8 pages) | Cited 1 time

Online Publication Date: July 10, 2006

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A Generalization of a Theorem of Lyapunov

Olga Taussky

J. Soc. Indust. and Appl. Math. 9, pp. 640-643 (4 pages) | Cited 22 times

Online Publication Date: July 10, 2006

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An Extension and Proof of the Root-Locus Method

Allan M. Krall

J. Soc. Indust. and Appl. Math. 9, pp. 644-653 (10 pages) | Cited 6 times

Online Publication Date: July 10, 2006

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A New Treatment of Bose-Chaudhuri Codes

H. F. Mattson and G. Solomon

J. Soc. Indust. and Appl. Math. 9, pp. 654-669 (16 pages) | Cited 11 times

Online Publication Date: July 10, 2006

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Show Abstract
Letting $A$ be any $(k,n)$ Bose-Chaudhuri code, we first attach to each $a$ in $A$ (via difference equations over $GF(2)$) a polynomial $g_a (x)$ such that the coordinates of $a$ are the values of $g_a (x)$ on the $n$th roots of unity. The degree of these polynomials is such that the minimum nonzero weight $d$ of vectors in $A$ is immediately seen to be at least $d_0 $, the usual Bose-Chaudhuri lower bound. This lower bound $d_0 $ is improved over a class of $(h + 1,p)$ codes, where $p = 2h + 1$ has certain prime values, in a number of general theorems. In particular, the (12, 23) Golay code is proved very simply to have $d = 7$; and a (24, 47) code is shown to have $d\leqq 9$, thus improving by 4 the usual lower bound $d_0 = 5$ for that code.

A Unified Approach to Certain Problems of Approximation and Minimization

T. J. Rivlin and H. S. Shapiro

J. Soc. Indust. and Appl. Math. 9, pp. 670-699 (30 pages) | Cited 35 times

Online Publication Date: July 10, 2006

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Abstract Unavailable
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