A new variant of restarted GMRES (Q2760340)
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scientific article; zbMATH DE number 1684499
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A new variant of restarted GMRES |
scientific article; zbMATH DE number 1684499 |
Statements
19 December 2001
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singular value decomposition
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iterative methods
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restarted GMRES
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residual polynomials
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large linear systems
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convergence
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algorithm
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numerical results
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generalized minimal residual method
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A new variant of restarted GMRES (English)
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The topic of this paper is a new variant of restarted generalized minimal residual (GMRES) method for solving large linear systems. The author gives an alternative form of minimal residual condition based on the construction of a polynomial which is smaller than GMRES residual one near the origin and this is used in the case of slow convergence of the original process. The new algorithm (GMRES-SVD) is a combination of restarted GMRES and this new variant. Numerical results confirm the efficiency of the GMRES-SVD algorithm.
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