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Structured backward error for palindromic polynomial eigenvalue problems

✍ Scribed by Ren-Cang Li; Wen-Wei Lin; Chern-Shuh Wang


Publisher
Springer-Verlag
Year
2010
Tongue
English
Weight
391 KB
Volume
116
Category
Article
ISSN
0029-599X

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✍ FranΓ§oise Tisseur πŸ“‚ Article πŸ“… 2000 πŸ› Elsevier Science 🌐 English βš– 217 KB

We develop normwise backward errors and condition numbers for the polynomial eigenvalue problem. The standard way of dealing with this problem is to reformulate it as a generalized eigenvalue problem (GEP). For the special case of the quadratic eigenvalue problem (QEP), we show that solving the QEP

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✍ Michiel E. Hochstenbach; Bor Plestenjak πŸ“‚ Article πŸ“… 2003 πŸ› Elsevier Science 🌐 English βš– 777 KB

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