Pestana, Jennifer and Wathen, A. J. (2010) On choice of preconditioner for minimum residual methods for nonsymmetric matrices. Technical Report. SIMAX. (Submitted)
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Abstract
Existing convergence bounds for Krylov subspace methods such as GMRES for nonsymmetric linear systems give little mathematical guidance for the choice of preconditioner. Here, we establish a desirable mathematical property of a preconditioner which guarantees that convergence of a minimum residual method will essentially depend only on the eigenvalues of the preconditioned system, as is true in the symmetric case. Our theory covers only a subset of nonsymmetric coefficient matrices but computations indicate that it might be more generally applicable.
| Item Type: | Technical Report (Technical Report) |
|---|---|
| Subjects: | H - N > Numerical analysis |
| Research Groups: | Numerical Analysis Group |
| ID Code: | 965 |
| Deposited By: | Lotti Ekert |
| Deposited On: | 02 Sep 2010 10:38 |
| Last Modified: | 06 May 2011 08:23 |
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- On choice of preconditioner for minimum residual methods for nonsymmetric matrices. (deposited 02 Sep 2010 10:38) [Currently Displayed]
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