Backward error, condition numbers, and pseudospectra for the multiparameter eigenvalue problem

被引：19

作者：

Hochstenbach, ME

Plestenjak, B

机构：

[1] Univ Ljubljana, Dept Math, SI-1000 Ljubljana, Slovenia

[2] Univ Utrecht, Dept Math, NL-3508 TA Utrecht, Netherlands

来源：

LINEAR ALGEBRA AND ITS APPLICATIONS | 2003年 / 375卷 / 1-3期

关键词：

multiparameter eigenvalue problem; right definiteness; backward error; condition number; pseudospectrum; nearness problem;

D O I：

10.1016/S0024-3795(03)00613-X

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We define and evaluate the normwise backward error and condition numbers for the multiparameter eigenvalue problem (MEP). The pseudospectrum for the MEP is defined and characterized. We show that the distance from a right definite MEP to the closest non right definite MEP is related to the smallest unbounded pseudospectrum. Some numerical results are given. (C) 2003 Elsevier Inc. All rights reserved.

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收藏

页码：63 / 81

页数：19

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