A polynomial preconditioner for the GMRES algorithm (Q1899971)
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scientific article; zbMATH DE number 804754
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A polynomial preconditioner for the GMRES algorithm |
scientific article; zbMATH DE number 804754 |
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A polynomial preconditioner for the GMRES algorithm (English)
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18 February 1996
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The paper describes a polynomial preconditioner for the GMRES algorithm of \textit{Y. Saad} and \textit{M. H. Schultz} [SIAM J. Sci. Stat. Comput. 7, 856-869 (1986; Zbl 0599.65018)] in order to reduce the number of iterations and the storage requirements. This preconditioner has a minimization property in an area of the complex plane, which can be obtained from the spectrum. Numerical experiments are done in order to examine the effectiveness of the preconditioner, and to compare two different strategies for obtaining eigenvalue estimates.
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nonsymmetric linear systems
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numerical experiments
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polynomial preconditioner
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GMRES algorithm
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eigenvalue estimates
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