{"product_id":"conjugate-direction-methods-in-optimization-m-r-hestenes-9780387904559","title":"Conjugate Direction Methods in Optimization","description":"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.\u003cbr\u003e\u003cbr\u003e\u003cb\u003eAuthor:\u003c\/b\u003e M. R. Hestenes\u003cbr\u003e\u003cb\u003eISBN-10:\u003c\/b\u003e 0387904557\u003cbr\u003e\u003cb\u003eISBN-13:\u003c\/b\u003e 9780387904559\u003cbr\u003e\u003cb\u003ePublisher:\u003c\/b\u003e Springer\u003cbr\u003e\u003cb\u003eLanguage:\u003c\/b\u003e English\u003cbr\u003e\u003cb\u003ePublished:\u003c\/b\u003e 03\/18\/1980\u003cbr\u003e\u003cb\u003ePages:\u003c\/b\u003e 325\u003cbr\u003e\u003cb\u003eFormat:\u003c\/b\u003e Hardcover\u003cbr\u003e\u003cb\u003eWeight:\u003c\/b\u003e 1.42lbs\u003cbr\u003e\u003cb\u003eSize:\u003c\/b\u003e 9.21h x 6.14w x 0.75d","brand":"M. R. Hestenes","offers":[{"title":"Hardcover","offer_id":44119653056767,"sku":"9780387904559","price":169.99,"currency_code":"USD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0662\/2982\/9887\/files\/img_ceb9363a-910b-44ca-8930-142727c8310c.jpg?v=1687410299","url":"https:\/\/www.whiterainbookhouse.com\/products\/conjugate-direction-methods-in-optimization-m-r-hestenes-9780387904559","provider":"WR Book House","version":"1.0","type":"link"}