On the Eigenvalues and Eigenvectors of Block Triangular Preconditioned Block Matrices

Jennifer Pestana

Research output: Contribution to journalArticlepeer-review

7 Scopus citations

Abstract

Block 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.
Original languageEnglish (US)
Pages (from-to)517-525
Number of pages9
JournalSIAM Journal on Matrix Analysis and Applications
Volume35
Issue number2
DOIs
StatePublished - Jan 2014
Externally publishedYes

Bibliographical note

KAUST Repository Item: Exported on 2020-10-01
Acknowledged KAUST grant number(s): KUK-C1-013-04
Acknowledgements: This work was supported by award KUK-C1-013-04, made by King Abdullah University of Science and Technology (KAUST).
This publication acknowledges KAUST support, but has no KAUST affiliated authors.

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