On polynomial preconditioning and asymptotic convergence factors for indefinite Hermitian matrices (Q808165)
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scientific article; zbMATH DE number 4209449
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On polynomial preconditioning and asymptotic convergence factors for indefinite Hermitian matrices |
scientific article; zbMATH DE number 4209449 |
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On polynomial preconditioning and asymptotic convergence factors for indefinite Hermitian matrices (English)
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1991
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The minimal residual method combined with polynomial preconditioning for solving large linear systems with indefinite Hermitian matrices is studied. A strategy with an indefinite preconditioned coefficient matrix is investigated. It is shown that the polynomial preconditioners can be obtained as the optimal solutions of a certain two-parameter family of Chebyshev approximation problems. Some numerical examples are given.
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asymptotic convergence factors
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minimal residual method
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polynomial preconditioning
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large linear systems
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indefinite Hermitian matrices
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Chebyshev approximation
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numerical examples
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