On a perturbation bound for invariant subspaces of matrices

dc.contributor.authorKarow, Michael
dc.contributor.authorKressner, Daniel
dc.date.accessioned2017-12-14T15:46:10Z
dc.date.available2017-12-14T15:46:10Z
dc.date.issued2014-05-13
dc.description.abstractGiven a nonsymmetric matrix A, we investigate the effect of perturbations on an invariant subspace of A. The result derived in this paper differs from Stewart's classical result and sometimes yields tighter bounds. Moreover, we provide norm estimates for the remainder terms in well-known perturbation expansions for invariant subspaces, eigenvectors, and eigenvalues.en
dc.identifier.eissn1095-7162
dc.identifier.issn0895-4798
dc.identifier.urihttps://depositonce.tu-berlin.de//handle/11303/7278
dc.identifier.urihttp://dx.doi.org/10.14279/depositonce-6551
dc.language.isoenen
dc.rights.urihttp://rightsstatements.org/vocab/InC/1.0/en
dc.subject.ddc518 Numerische Analysisde
dc.subject.otherinvariant subspacesen
dc.subject.otherperturbation theoryen
dc.subject.otherpseudospectraen
dc.subject.otherquadratic matrix equationen
dc.titleOn a perturbation bound for invariant subspaces of matricesen
dc.typeArticleen
dc.type.versionpublishedVersionen
dcterms.bibliographicCitation.doi10.1137/130912372en
dcterms.bibliographicCitation.issue2en
dcterms.bibliographicCitation.journaltitleSIAM Journal on Matrix Analysis and Applicationsen
dcterms.bibliographicCitation.originalpublishernameSociety for Industrial and Applied Mathematicsen
dcterms.bibliographicCitation.originalpublisherplacePhiladelphia, Pa.en
dcterms.bibliographicCitation.pageend618en
dcterms.bibliographicCitation.pagestart599en
dcterms.bibliographicCitation.volume35en
tub.accessrights.dnbdomainen
tub.affiliationFak. 2 Mathematik und Naturwissenschaften>Inst. Mathematik>FG Numerische Lineare Algebrade
tub.affiliation.facultyFak. 2 Mathematik und Naturwissenschaftende
tub.affiliation.groupFG Numerische Lineare Algebrade
tub.affiliation.instituteInst. Mathematikde
tub.publisher.universityorinstitutionTechnische Universität Berlinen
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