Structured pseudospectra for small perturbations
| dc.contributor.author | Karow, Michael | |
| dc.date.accessioned | 2017-12-14T15:26:09Z | |
| dc.date.available | 2017-12-14T15:26:09Z | |
| dc.date.issued | 2011-12-08 | |
| dc.description.abstract | In this paper we study the shape and growth of structured pseudospectra for small matrix perturbations of the form $A \leadsto A_\Delta=A+B\Delta C$, $\Delta \in \boldsymbol{\Delta}$, $\|\Delta\|\leq \delta$. It is shown that the properly scaled pseudospectra components converge to nontrivial limit sets as $\delta$ tends to 0. We discuss the relationship of these limit sets with $\mu$-values and structured eigenvalue condition numbers for multiple eigenvalues. | en |
| dc.identifier.eissn | 1095-7162 | |
| dc.identifier.issn | 0895-4798 | |
| dc.identifier.uri | https://depositonce.tu-berlin.de/handle/11303/7273 | |
| dc.identifier.uri | http://dx.doi.org/10.14279/depositonce-6546 | |
| 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.ddc | 512 Algebra | de |
| dc.subject.other | eigenvalues | en |
| dc.subject.other | perturbations | en |
| dc.subject.other | spectral value sets | en |
| dc.subject.other | $\mu$-values | en |
| dc.subject.other | condition numbers | en |
| dc.title | Structured pseudospectra for small perturbations | en |
| dc.type | Article | en |
| dc.type.version | publishedVersion | en |
| dcterms.bibliographicCitation.doi | 10.1137/090774744 | en |
| dcterms.bibliographicCitation.issue | 4 | 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 | 1383 | en |
| dcterms.bibliographicCitation.pagestart | 1398 | 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 |