On a perturbation bound for invariant subspaces of matrices
| dc.contributor.author | Karow, Michael | |
| dc.contributor.author | Kressner, Daniel | |
| dc.date.accessioned | 2017-12-14T15:46:10Z | |
| dc.date.available | 2017-12-14T15:46:10Z | |
| dc.date.issued | 2014-05-13 | |
| dc.description.abstract | Given 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.eissn | 1095-7162 | |
| dc.identifier.issn | 0895-4798 | |
| dc.identifier.uri | https://depositonce.tu-berlin.de/handle/11303/7278 | |
| dc.identifier.uri | http://dx.doi.org/10.14279/depositonce-6551 | |
| dc.language.iso | en | en |
| dc.rights.uri | http://rightsstatements.org/vocab/InC/1.0/ | en |
| dc.subject.ddc | 518 Numerische Analysis | de |
| dc.subject.other | invariant subspaces | en |
| dc.subject.other | perturbation theory | en |
| dc.subject.other | pseudospectra | en |
| dc.subject.other | quadratic matrix equation | en |
| dc.title | On a perturbation bound for invariant subspaces of matrices | en |
| dc.type | Article | en |
| dc.type.version | publishedVersion | en |
| dcterms.bibliographicCitation.doi | 10.1137/130912372 | en |
| dcterms.bibliographicCitation.issue | 2 | 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 | 618 | en |
| dcterms.bibliographicCitation.pagestart | 599 | en |
| dcterms.bibliographicCitation.volume | 35 | en |
| tub.accessrights.dnb | domain | 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 |