| タイトル | The use of Lanczos's method to solve the large generalized symmetric definite eigenvalue problem |
| 本文（外部サイト） | http://hdl.handle.net/2060/19900002877 |
| 著者（英） | Jones, Mark T.; Patrick, Merrell L. |
| 著者所属（英） | Institute for Computer Applications in Science and Engineering |
| 発行日 | 1989-09-01 |
| 言語 | eng |
| 内容記述 | The generalized eigenvalue problem, Kx = Lambda Mx, is of significant practical importance, especially in structural enginering where it arises as the vibration and buckling problem. A new algorithm, LANZ, based on Lanczos's method is developed. LANZ uses a technique called dynamic shifting to improve the efficiency and reliability of the Lanczos algorithm. A new algorithm for solving the tridiagonal matrices that arise when using Lanczos's method is described. A modification of Parlett and Scott's selective orthogonalization algorithm is proposed. Results from an implementation of LANZ on a Convex C-220 show it to be superior to a subspace iteration code. |
| NASA分類 | COMPUTER PROGRAMMING AND SOFTWARE |
| レポートNO | 90N12193
ICASE-89-69
NAS 1.26:181914
NASA-CR-181914
AD-A214443 |
| 権利 | No Copyright |
| URI | https://repository.exst.jaxa.jp/dspace/handle/a-is/139992 |
