Low rank perturbations of quaternion matrices

dc.contributor.authorMehl, Christian
dc.contributor.authorRan, André
dc.date.accessioned2021-12-17T10:14:51Z
dc.date.available2021-12-17T10:14:51Z
dc.date.issued2017-10-02
dc.description.abstractLow rank perturbations of right eigenvalues of quaternion matrices are considered. For real and complex matrices it is well known that under a generic rank-k perturbation the k largest Jordan blocks of a given eigenvalue will disappear while additional smaller Jordan blocks will remain. In this paper, it is shown that the same is true for real eigenvalues of quaternion matrices, but for complex nonreal eigenvalues the situation is different: not only the largest k, but the largest 2k Jordan blocks of a given eigenvalue will disappear under generic quaternion perturbations of rank k. Special emphasis is also given to Hermitian and skew-Hermitian quaternion matrices and generic low rank perturbations that are structure-preserving.en
dc.identifier.issn2197-8085
dc.identifier.urihttps://depositonce.tu-berlin.de/handle/11303/15887
dc.identifier.urihttp://dx.doi.org/10.14279/depositonce-14660
dc.language.isoenen
dc.rights.urihttp://rightsstatements.org/vocab/InC/1.0/en
dc.subject.ddc510 Mathematiken
dc.subject.otherquaternionsen
dc.subject.othereigenvaluesen
dc.subject.otherperturbation theoryen
dc.subject.otherlow rank perturbationsen
dc.titleLow rank perturbations of quaternion matricesen
dc.typeResearch Paperen
dc.type.versionsubmittedVersionen
tub.accessrights.dnbfreeen
tub.affiliationFak. 2 Mathematik und Naturwissenschaften::Inst. Mathematikde
tub.affiliation.facultyFak. 2 Mathematik und Naturwissenschaftende
tub.affiliation.instituteInst. Mathematikde
tub.publisher.universityorinstitutionTechnische Universität Berlinen
tub.series.issuenumber2017, 10en
tub.series.namePreprint-Reihe des Instituts für Mathematik, Technische Universität Berlinen
tub.subject.msc200015A33 Matrices over special ringsen
tub.subject.msc200015A18 Eigenvalues, singular values, and eigenvectorsen

Files

Original bundle
Now showing 1 - 1 of 1
Loading…
Thumbnail Image
Name:
Preprint-10-2017.pdf
Size:
343.21 KB
Format:
Adobe Portable Document Format

Collections