{"product_id":"conjugate-direction-methods-in-optimization-9781461260509","title":"Conjugate Direction Methods in Optimization","description":"\u003cp\u003e • Author(s): M. R. Hestenes\u003cbr\u003e • Publisher: Springer\u003cbr\u003e • Publisher Imprint: Springer\u003cbr\u003e • BISAC: General\u003c\/p\u003e\u003cp\u003e\u003c\/p\u003e\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":"Springer","offers":[{"title":"Paperback","offer_id":45282863710359,"sku":"9781461260509","price":11017.0,"currency_code":"INR","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0666\/3471\/1191\/files\/9781461260509.webp?v=1769303405","url":"https:\/\/atlanticbooks.com\/products\/conjugate-direction-methods-in-optimization-9781461260509","provider":"Atlantic Books","version":"1.0","type":"link"}