A note on spectra of optimal and superoptimal preconditioned matrices (Q875001)
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scientific article; zbMATH DE number 5141628
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A note on spectra of optimal and superoptimal preconditioned matrices |
scientific article; zbMATH DE number 5141628 |
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A note on spectra of optimal and superoptimal preconditioned matrices (English)
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10 April 2007
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By an application of the Courant-Fischer theorem, it is shown that for positive definite Hermitian matrices the eigenvalues of the superoptimal preconditioned matrix do not exceed those of the optimal preconditioned matrix.
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optimal and superoptimal preconditioners
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positive definite Hermitian matrices
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Courant-Fischer theorem
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