Stagnation analysis of DGMRES. (Q1428398)
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scientific article; zbMATH DE number 2062682
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Stagnation analysis of DGMRES. |
scientific article; zbMATH DE number 2062682 |
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Stagnation analysis of DGMRES. (English)
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29 March 2004
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The authors study the following problem: The class of problems for which the DGMRES algorithm, when started with the initial guess \(x^{(0)} = 0\) and using exact arithmetic, computes \(m\) iterates \(x^{(1)}=\ldots=x^{(m)}=0\) without making any progress at all. Problems of dimension two and index one are solved explicitly. This results are partially extended to higher dimensions for a class of eigenvector matrices.
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iterative methods
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stagnation
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convergence
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Drazin inverse
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Jordan canonical normal form
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DGMRES algorithm
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eigenvector matrices
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