Title of article
Backward error, condition numbers, and pseudospectra for the multiparameter eigenvalue problem
Author/Authors
Michiel E. Hochstenbach، نويسنده , , Bor Plestenjak، نويسنده ,
Issue Information
روزنامه با شماره پیاپی سال 2003
Pages
19
From page
63
To page
81
Abstract
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.
Keywords
Multiparameter eigenvalue problem , Right definiteness , backward error , Condition number , pseudospectrum , Nearness problem
Journal title
Linear Algebra and its Applications
Serial Year
2003
Journal title
Linear Algebra and its Applications
Record number
824114
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