Robust bounds for Krylov methods (Q1577719)
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scientific article; zbMATH DE number 1496093
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Robust bounds for Krylov methods |
scientific article; zbMATH DE number 1496093 |
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Robust bounds for Krylov methods (English)
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27 February 2001
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The authors discuss bounded operators in separable complex Hilbert spaces and present a new approach of convergence analysis of Krylov methods based on some derived bounds for polynomials of operators. The growth of the resolvent function for a linear bounded operator is estimated in terms that are not sensitive to low rank perturbations. The concepts of sequence of monic polynomials and meromorphic functions are used.
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Krylov methods
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meromorphic functions
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resolvent operator
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Hilbert spaces
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convergence
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linear bounded operator
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low rank perturbations
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