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On the eigenvalues and eigenvectors of nonsymmetric saddle point matrices preconditioned by block triangular matrices

Abstract:
Block lower triangular and block upper triangular matrices are popular preconditioners for nonsymmetric saddle point matrices. In this note we show that a block lower triangular preconditioner gives the same spectrum as a block upper triangular preconditioner and that the eigenvectors of the two preconditioned systems are related.

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Publication date:
2013-01-01
URN:
uuid:843d4b98-f7fa-46a3-9a6d-b785529a2e9c
Local pid:
oai:eprints.maths.ox.ac.uk:1727

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