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

✍ Scribed by Michiel E. Hochstenbach; Bor Plestenjak

Publisher: Elsevier Science
Year: 2003
Tongue: English
Weight: 777 KB
Volume: 375
Category: Article
ISSN: 0024-3795
DOI: 10.1016/s0024-3795(03)00613-x

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✦ Synopsis

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.

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