μ-values and spectral value sets for linear perturbation classes defined by a scalar product

dc.contributor.authorKarow, Michael
dc.date.accessioned2017-12-14T15:35:24Z
dc.date.available2017-12-14T15:35:24Z
dc.date.issued2011-09-06
dc.description.abstractWe study the variation of the spectrum of matrices under perturbations which are self- or skew-adjoint with respect to a scalar product. Computable formulas are given for the associated μ-values. The results can be used to calculate spectral value sets for the perturbation classes under consideration. We discuss the special case of complex Hamiltonian perturbations of a Hamiltonian matrix in detail.en
dc.identifier.eissn1095-7162
dc.identifier.issn0895-4798
dc.identifier.urihttps://depositonce.tu-berlin.de/handle/11303/7275
dc.identifier.urihttp://dx.doi.org/10.14279/depositonce-6548
dc.language.isoenen
dc.rights.urihttp://rightsstatements.org/vocab/InC/1.0/en
dc.subject.ddc512 Algebrade
dc.subject.ddc519 Wahrscheinlichkeiten, angewandte Mathematikde
dc.subject.otherlinear systemsen
dc.subject.othereigenvaluesen
dc.subject.otherperturbationsen
dc.subject.otherspectral value setsen
dc.subject.otherμ-valuesen
dc.titleμ-values and spectral value sets for linear perturbation classes defined by a scalar producten
dc.typeArticleen
dc.type.versionpublishedVersionen
dcterms.bibliographicCitation.doi10.1137/090774896en
dcterms.bibliographicCitation.issue3en
dcterms.bibliographicCitation.journaltitleSIAM Journal on Matrix Analysis and Applicationsen
dcterms.bibliographicCitation.originalpublishernameSociety for Industrial and Applied Mathematicsen
dcterms.bibliographicCitation.originalpublisherplacePhiladelphia, Pa.en
dcterms.bibliographicCitation.pageend865en
dcterms.bibliographicCitation.pagestart845en
dcterms.bibliographicCitation.volume32en
tub.accessrights.dnbfreeen
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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