On the Eigenvalues and Eigenvectors of Block Triangular Preconditioned Block Matrices
KAUST Grant NumberKUK-C1-013-04
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AbstractBlock lower triangular matrices and block upper triangular matrices are popular preconditioners for 2×2 block 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 matrices are related. © 2014 Society for Industrial and Applied Mathematics.
CitationPestana J (2014) On the Eigenvalues and Eigenvectors of Block Triangular Preconditioned Block Matrices. SIAM Journal on Matrix Analysis and Applications 35: 517–525. Available: http://dx.doi.org/10.1137/130920897.
SponsorsThis work was supported by award KUK-C1-013-04, made by King Abdullah University of Science and Technology (KAUST).