Numerical solution of eigenvalue problems by means of a wavelet-based Lanczos decomposition

被引：0
|
作者：
Fischer, P [1 ]
机构：
[1] Univ Bordeaux 1, F-33405 Talence, France
来源：
INTERNATIONAL JOURNAL OF QUANTUM CHEMISTRY | 2000年 / 77卷 / 02期
关键词：
wavelets; eigenvalue problem; Lanczos process;
D O I：
10.1002/(SICI)1097-461X(2000)77:2<552::AID-QUA7>3.3.CO;2-E
中图分类号：
O64 [物理化学（理论化学）、化学物理学];
学科分类号：
070304 ; 081704 ;
摘要：
The simple Lanczos process is very efficient for finding a few extreme eigenvalues of a large symmetric matrix. The main task in each iteration step consists in evaluating a matrix-vector product. It is shown how to apply a fast wavelet-based product in order to speed up computations. Some numerical results are given for three different monodimensional cases: the harmonic oscillator case, Me hydrogenlike atoms, and a problem with a pseudo-double-well potential. (C) 2000 John Wiley & Sons, Inc.
引用
收藏
页码：552 / 562
页数：11
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