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
Condition operators, condition numbers, and condition number theorem for the generalized eigenvalue problem
β Scribed by Jean-Pierre Dedieu
- Publisher
- Elsevier Science
- Year
- 1997
- Tongue
- English
- Weight
- 755 KB
- Volume
- 263
- Category
- Article
- ISSN
- 0024-3795
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β¦ Synopsis
We define the condition operators and the condition numbers associated with a well-posed generalized eigenvalue problem, and we study the relationship between the condition numbers and the distance to the ill-posed problems.
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