The Mathematical Institute, University of Oxford, Eprints Archive

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

Pestana, J. (2013) On the eigenvalues and eigenvectors of nonsymmetric saddle point matrices preconditioned by block triangular matrices. SIAM Journal on Matrix Analysis and Applications . (Submitted)

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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.

Item Type:Article
Subjects:D - G > General
Research Groups:Oxford Centre for Collaborative Applied Mathematics
ID Code:1727
Deposited By: Peter Hudston
Deposited On:30 Jul 2013 13:10
Last Modified:29 May 2015 19:25

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