Structured Backward Error and Condition of Generalized Eigenvalue Problems
β Scribed by Higham, Desmond J.; Higham, Nicholas J.
- Book ID
- 118217039
- Publisher
- Society for Industrial and Applied Mathematics
- Year
- 1998
- Tongue
- English
- Weight
- 382 KB
- Volume
- 20
- Category
- Article
- ISSN
- 0895-4798
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π SIMILAR VOLUMES
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
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