| Conjugate Direction Methods in Optimization Softcover Repri Edition Contributor(s): Hestenes, M. R. (Author) |
|
 |
ISBN: 1461260507 ISBN-13: 9781461260509 Publisher: Springer OUR PRICE: $161.49 Product Type: Paperback - Other Formats Published: May 2013 |
| Additional Information |
| BISAC Categories: - Gardening - Mathematics | Linear & Nonlinear Programming - Mathematics | Applied |
| Dewey: 515.64 |
| Series: Stochastic Modelling and Applied Probability |
| Physical Information: 0.7" H x 6.14" W x 9.21" (1.04 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. |