Residual error bounds of generalized eigenvalue systems (Q1095584)
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scientific article; zbMATH DE number 4028744
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Residual error bounds of generalized eigenvalue systems |
scientific article; zbMATH DE number 4028744 |
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Residual error bounds of generalized eigenvalue systems (English)
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1987
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Let a nonsingular matrix pencil A-\(\lambda\) B be given. \textit{G. W. Stewart} [SIAM Rev. 15, 727-764 (1973; Zbl 0297.65030)] introduced the concept of a deflation pair to the matrix pair (A,B) which can be seen as a generalization of an invariant subspace of a matrix. In the paper, residual error bounds of approximate deflation pairs of the pencil are discussed.
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matrix pencil
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deflation pair
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invariant subspace
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error bounds
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