On the Eigenvalues and Eigenvectors of Block Triangular Preconditioned Block Matrices

Handle URI:
http://hdl.handle.net/10754/599051
Title:
On the Eigenvalues and Eigenvectors of Block Triangular Preconditioned Block Matrices
Authors:
Pestana, Jennifer
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.
Citation:
Pestana 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.
Publisher:
Society for Industrial & Applied Mathematics (SIAM)
Journal:
SIAM Journal on Matrix Analysis and Applications
KAUST Grant Number:
KUK-C1-013-04
Issue Date:
Jan-2014
DOI:
10.1137/130920897
Type:
Article
ISSN:
0895-4798; 1095-7162
Sponsors:
This work was supported by award KUK-C1-013-04, made by King Abdullah University of Science and Technology (KAUST).
Appears in Collections:
Publications Acknowledging KAUST Support

Full metadata record

DC FieldValue Language
dc.contributor.authorPestana, Jenniferen
dc.date.accessioned2016-02-25T13:51:55Zen
dc.date.available2016-02-25T13:51:55Zen
dc.date.issued2014-01en
dc.identifier.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.en
dc.identifier.issn0895-4798en
dc.identifier.issn1095-7162en
dc.identifier.doi10.1137/130920897en
dc.identifier.urihttp://hdl.handle.net/10754/599051en
dc.description.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.en
dc.description.sponsorshipThis work was supported by award KUK-C1-013-04, made by King Abdullah University of Science and Technology (KAUST).en
dc.publisherSociety for Industrial & Applied Mathematics (SIAM)en
dc.subjectBlock triangular preconditioneren
dc.subjectConvergenceen
dc.subjectEigenvaluesen
dc.subjectEigenvectorsen
dc.subjectIterative methoden
dc.subjectSaddle point systemen
dc.titleOn the Eigenvalues and Eigenvectors of Block Triangular Preconditioned Block Matricesen
dc.typeArticleen
dc.identifier.journalSIAM Journal on Matrix Analysis and Applicationsen
dc.contributor.institutionUniversity of Oxford, Oxford, United Kingdomen
kaust.grant.numberKUK-C1-013-04en
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