A METHOD FOR CALCULATING THE EIGENVALUES OF LARGE HERMITIAN MATRICES BY 2ND-ORDER RECURSION FORMULAS

Authors
MITSUTAKE A IITAKA T OKAMOTO Y
Citation
A. Mitsutake et al., A METHOD FOR CALCULATING THE EIGENVALUES OF LARGE HERMITIAN MATRICES BY 2ND-ORDER RECURSION FORMULAS, Computer physics communications, 96(2-3), 1996, pp. 217-231
Citations number
11
Categorie Soggetti
Mathematical Method, Physical Science","Physycs, Mathematical","Computer Science Interdisciplinary Applications
Journal title
Computer physics communications → ACNP
ISSN journal
00104655
Volume
96
Issue
2-3
Year of publication
1996
Pages
217 - 231
Database
ISI
SICI code
0010-4655(1996)96:2-3<217:AMFCTE>2.0.ZU;2-M
Abstract
A general discussion of a method for solving the eigenvalue problem of large N x N Hermitian matrices by using second-order recursion formul ae is given. In principle, the method is suitable for finding not only the extreme eigenvalues and the corresponding eigenvectors but also a ny other eigenvalues in the range of one's specification, The effectiv eness of the algorithm is illustrated by calculation of a few low-lyin g eigenvalues of the Heisenberg model for an antiferromagnetic chain w ith N up to 1048576.