μ-values and spectral value sets for linear perturbation classes defined by a scalar product
dc.contributor.author | Karow, Michael | |
dc.date.accessioned | 2017-12-14T15:35:24Z | |
dc.date.available | 2017-12-14T15:35:24Z | |
dc.date.issued | 2011-09-06 | |
dc.description.abstract | We 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.eissn | 1095-7162 | |
dc.identifier.issn | 0895-4798 | |
dc.identifier.uri | https://depositonce.tu-berlin.de/handle/11303/7275 | |
dc.identifier.uri | http://dx.doi.org/10.14279/depositonce-6548 | |
dc.language.iso | en | en |
dc.rights.uri | http://rightsstatements.org/vocab/InC/1.0/ | en |
dc.subject.ddc | 512 Algebra | de |
dc.subject.ddc | 519 Wahrscheinlichkeiten, angewandte Mathematik | de |
dc.subject.other | linear systems | en |
dc.subject.other | eigenvalues | en |
dc.subject.other | perturbations | en |
dc.subject.other | spectral value sets | en |
dc.subject.other | μ-values | en |
dc.title | μ-values and spectral value sets for linear perturbation classes defined by a scalar product | en |
dc.type | Article | en |
dc.type.version | publishedVersion | en |
dcterms.bibliographicCitation.doi | 10.1137/090774896 | en |
dcterms.bibliographicCitation.issue | 3 | en |
dcterms.bibliographicCitation.journaltitle | SIAM Journal on Matrix Analysis and Applications | en |
dcterms.bibliographicCitation.originalpublishername | Society for Industrial and Applied Mathematics | en |
dcterms.bibliographicCitation.originalpublisherplace | Philadelphia, Pa. | en |
dcterms.bibliographicCitation.pageend | 865 | en |
dcterms.bibliographicCitation.pagestart | 845 | en |
dcterms.bibliographicCitation.volume | 32 | en |
tub.accessrights.dnb | free | en |
tub.affiliation | Fak. 2 Mathematik und Naturwissenschaften::Inst. Mathematik::FG Numerische Lineare Algebra | de |
tub.affiliation.faculty | Fak. 2 Mathematik und Naturwissenschaften | de |
tub.affiliation.group | FG Numerische Lineare Algebra | de |
tub.affiliation.institute | Inst. Mathematik | de |
tub.publisher.universityorinstitution | Technische Universität Berlin | en |