A PARALLEL METHOD FOR THE BANDED EIGENVALUE PROBLEM

Authors
LI KY LI TY
Citation
Ky. Li et Ty. Li, A PARALLEL METHOD FOR THE BANDED EIGENVALUE PROBLEM, Arabian journal for science and engineering, 22(2C), 1997, pp. 31-40
Citations number
15
Journal title
Arabian journal for science and engineering → ACNP
ISSN journal
03779211
Volume
22
Issue
2C
Year of publication
1997
Pages
31 - 40
Database
ISI
SICI code
0377-9211(1997)22:2C<31:APMFTB>2.0.ZU;2-Z
Abstract
In this paper we present a method, parallel in nature, for finding all eigenvalues of the generalized eigenvalue problem. Our method employs the determinant evaluation and the Durand-Kerner root-finding scheme. It is shown that the method converges quadratically, and is reliable, efficient, and easy to implement in practice.