Conjugate Direction Methods in Optimization (Stochastic Modelling and Applied Probability, No. 12)

Hestenes, Margnus R

ISBN 10: 0387904557 ISBN 13: 9780387904559

Editorial: Springer, New York, NY, USA, 1980

Idioma: Ingl�s

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x, 326pp. Yellow cloth-covered boards; black titles on front and spine. 8vo. Sun-faded, shelf number label on spine, rubbed corners and spine ends with cloth worn through. Text block edges tanning. Lender's stamps and markings on endpapers and copyright page. Pages tanning. Otherwise internally neat, clean and tight.

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T�tulo

Conjugate Direction Methods in Optimization (Stochastic Modelling and Applied Probability, No. 12)

Editor

Springer, New York, NY, USA

Fecha de publicaci�n

1980

Idioma

Ingl�s

ISBN 10

0387904557

ISBN 13

9780387904559

Encuadernaci�n

Hardcover

Estado

Good

Estado de la sobrecubierta

N/A

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Science - Physics, Maths, Astronomy and Space E...

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Sinopsis

Shortly after the end of World War II high-speed digital computing machines were being developed. It was clear that the mathematical aspects of com� putation needed to be reexamined in order to make efficient use of high-speed digital computers for mathematical computations. Accordingly, under the leadership of Min a Rees, John Curtiss, and others, an Institute for Numerical Analysis was set up at the University of California at Los Angeles under the sponsorship of the National Bureau of Standards. A similar institute was formed at the National Bureau of Standards in Washington, D. C. In 1949 J. Barkeley Rosser became Director of the group at UCLA for a period of two years. During this period we organized a seminar on the study of solu� tions of simultaneous linear equations and on the determination of eigen� values. G. Forsythe, W. Karush, C. Lanczos, T. Motzkin, L. J. Paige, and others attended this seminar. We discovered, for example, that even Gaus� sian elimination was not well understood from a machine point of view and that no effective machine oriented elimination algorithm had been developed. During this period Lanczos developed his three-term relationship and I had the good fortune of suggesting the method of conjugate gradients. We dis� covered afterward that the basic ideas underlying the two procedures are essentially the same. The concept of conjugacy was not new to me. In a joint paper with G. D.

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