Conjugate Direction Methods in Optimization

Name: Conjugate Direction Methods in Optimization
Brand: Springer-Verlag New York Inc.
SKU: 9780387904559
Price: 178.43 EUR
Availability: InStock

Автор: M.R. Hestenes

Език:

Корици: С твърди корици

Издател: Springer-Verlag New York Inc.

Наличност: Външен склад в ограничено количество

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Shortly after the end of World War II high-speed digital computing machines were being developed. It...

Информация за книгата

Автор

M.R. Hestenes

Език

Английски език

Корици

Книга - С твърди корици

страници

325

EAN

9780387904559

ISBN

0387904557

Enbook ID

01383592

Издател

Springer-Verlag New York Inc.

Теглоt

1430

Размери

155 x 235 x 19

Пълно описание

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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