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Conjugate Direction Methods in Optimization

Language EnglishEnglish
Book Hardback
Book Conjugate Direction Methods in Optimization M.R. Hestenes
Libristo code: 01383592
Shortly after the end of World War II high-speed digital computing machines were being developed. It... Full description
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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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About the book

Full name Conjugate Direction Methods in Optimization
Author M.R. Hestenes
Language English
Binding Book - Hardback
Number of pages 325
EAN 9780387904559
ISBN 0387904557
Libristo code 01383592
Weight 1430
Dimensions 155 x 235 x 19
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