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

页码：552 / 562

页数：11

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