A note on the approximation of two-sided Rayleigh quotient to eigenvalues (Q879514)
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scientific article; zbMATH DE number 5152362
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A note on the approximation of two-sided Rayleigh quotient to eigenvalues |
scientific article; zbMATH DE number 5152362 |
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A note on the approximation of two-sided Rayleigh quotient to eigenvalues (English)
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14 May 2007
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This paper concerns eigenvalue problems (for matrices, polynomial matrices, and periodic matrix pairs) as well as multiparameter eigenvalue problems. It is shown that the quality of approximations of eigenvalues by Ostrowski's generalized Rayleigh quotients depends on the eigenvalue condition numbers defined by \textit{J. R. Rice} [SIAM J. Numer. Anal. 3, 287--310 (1966; Zbl 0143.37101)].
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two-sided Rayleigh quotient
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matrix polynomial eigenvalue problem
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multiparameter eigenvalue problem
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periodic eigenvalue problem
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eigenvalue condition numbers
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