{"product_id":"conjugate-direction-methods-in-optimization-stochastic-modelling-and-applied-probability-12-by-m-r-hestenes","title":"Conjugate Direction Methods in Optimization (Stochastic Modelling and Applied Probability, 12) by M.R. Hestenes","description":"\u003cp\u003eShortly 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.\u003c\/p\u003e","brand":"Book Express","offers":[{"title":"Default Title","offer_id":43647418957898,"sku":"3215p","price":34.0,"currency_code":"NZD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0618\/9101\/8826\/files\/3215p_48a46f67-940d-4fe2-8b65-df367b115e0f.jpg?v=1780188316","url":"https:\/\/www.bookexpress.nz\/products\/conjugate-direction-methods-in-optimization-stochastic-modelling-and-applied-probability-12-by-m-r-hestenes","provider":"Book Express","version":"1.0","type":"link"}