On the stable implementation of the generalized minimal error method (Q1298807)
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scientific article; zbMATH DE number 1326552
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On the stable implementation of the generalized minimal error method |
scientific article; zbMATH DE number 1326552 |
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On the stable implementation of the generalized minimal error method (English)
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22 August 1999
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Several implementations of the generalized minimal error (GMERR) method are examined for solving nonsymmetric systems of linear equations that minimize the Euclidean norm of the error in the related generalized Krylov subspace. A new variant of the GMERR method is introduced and its stable implementation based on Householder transformations is discussed. Numerical stability is analyzed and numerical examples illustrate the methodology.
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Krylov subspace iteration
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generalized minimal error method
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numerical stability
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nonsymmetric systems
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Householder transformations
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numerical examples
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