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On choice of preconditioner for minimum residual methods for nonsymmetric matrices

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 indicates when 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 the generic case of nonsymmetric coefficient matrices which ar...

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Publisher:
SIMAX
Publication date:
2011-05-01
UUID:
uuid:3b0185c0-63ba-47c7-9aad-5b03d19d54cc
Local pid:
oai:eprints.maths.ox.ac.uk:1070
Deposit date:
2011-05-20

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