| Conjugate Direction Methods in Optimization 1980 Edition Contributor(s): Hestenes, M. R. (Author) |
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ISBN: 0387904557 ISBN-13: 9780387904559 Publisher: Springer OUR PRICE: $161.49 Product Type: Hardcover - Other Formats Published: March 1980 |
| Additional Information |
| BISAC Categories: - Gardening - Mathematics | Linear & Nonlinear Programming - Science | System Theory |
| Dewey: 515.64 |
| LCCN: 79020220 |
| Series: Stochastic Modelling and Applied Probability |
| Physical Information: 0.75" H x 6.14" W x 9.21" (1.42 lbs) 325 pages |
| Descriptions, Reviews, Etc. |
| Publisher 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. |