Conjugate Direction Methods in Optimization - Stochastic Modelling and Applied Probability 12 (Paperback)
  • Conjugate Direction Methods in Optimization - Stochastic Modelling and Applied Probability 12 (Paperback)
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Conjugate Direction Methods in Optimization - Stochastic Modelling and Applied Probability 12 (Paperback)

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Paperback 325 Pages / Published: 31/05/2013
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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.

Publisher: Springer-Verlag New York Inc.
ISBN: 9781461260509
Number of pages: 325
Weight: 516 g
Dimensions: 235 x 155 x 18 mm
Edition: Softcover reprint of the original 1st ed. 198

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