Performance Of H-Lu Preconditioning For Sparse Matrices

dc.contributor.authorGrasedyck, Lars
dc.contributor.authorHackbusch, Wolfgang
dc.contributor.authorKriemann, Ronald
dc.date.accessioned2018-10-01T14:44:23Z
dc.date.available2018-10-01T14:44:23Z
dc.date.issued2008
dc.description.abstractIn this paper we review the technique of hierarchical matrices and put it into the context of black-box solvers for large linear systems. Numerical examples for several classes of problems from medium- to large-scale illustrate the applicability and efficiency of this technique. We compare the results with those of several direct solvers (which typically scale quadratically in the matrix size) as well as an iterative solver (algebraic multigrid) which scales linearly (if it converges in O(1) steps).en
dc.identifier.eissn1609-9389
dc.identifier.issn1609-4840
dc.identifier.urihttps://depositonce.tu-berlin.de/handle/11303/8257
dc.identifier.urihttp://dx.doi.org/10.14279/depositonce-7408
dc.language.isoen
dc.rights.urihttps://creativecommons.org/licenses/by-nc-nd/4.0/
dc.subject.ddc510 Mathematikde
dc.subject.otherhierarchical matricesen
dc.subject.otherblack-box clusteringen
dc.subject.otherfinite-difference schemeen
dc.subject.otherpreconditioningen
dc.subject.otherdirect solveren
dc.titlePerformance Of H-Lu Preconditioning For Sparse Matricesen
dc.typeArticleen
dc.type.versionpublishedVersionen
dcterms.bibliographicCitation.doi10.2478/cmam-2008-0024
dcterms.bibliographicCitation.issue4
dcterms.bibliographicCitation.journaltitleComputational methods in applied mathematicsen
dcterms.bibliographicCitation.originalpublishernameDe Gruyteren
dcterms.bibliographicCitation.originalpublisherplaceBerlinen
dcterms.bibliographicCitation.pageend349
dcterms.bibliographicCitation.pagestart336
dcterms.bibliographicCitation.volume8
tub.accessrights.dnbfree
tub.affiliationFak. 2 Mathematik und Naturwissenschaften::Inst. Mathematikde
tub.affiliation.facultyFak. 2 Mathematik und Naturwissenschaftende
tub.affiliation.instituteInst. Mathematikde
tub.publisher.universityorinstitutionTechnische Universität Berlinde

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