A projection method for generalized eigenvalue problems using numerical integration

被引：248

作者：

Sakurai, T ^{[1
]}

Sugiura, H

机构：

[1] Univ Tsukuba, Inst Informat Sci & Elect, Tsukuba, Ibaraki 3058573, Japan

[2] Nagoya Univ, Grad Sch Engn, Nagoya, Aichi 4648603, Japan

来源：

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS | 2003年 / 159卷 / 01期

关键词：

generalized eigenvalue problem; spectral projection; large scale problem; quadrature method;

D O I：

10.1016/S0377-0427(03)00565-X

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we propose a method for finding certain eigenvalues of a generalized eigenvalue problem that lie in a given domain of the complex plane. The proposed method projects the matrix pencil onto a subspace associated with the eigenvalues that are located in the domain via numerical integration. (C) 2003 Elsevier B.V. All rights reserved.

引用

页码：119 / 128

页数：10

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