A note on the eigenvalues of saddle point matrices

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dc.contributor.authorLiesen, Jörg
dc.date.accessioned2021-12-17T10:07:04Z
dc.date.available2021-12-17T10:07:04Z
dc.date.issued2006-06-01
dc.description.abstractResults of Benzi and Simoncini (Numer. Math. 103 (2006), pp.~173--196) on spectral properties of block $2\times 2$ matrices are generalized to the case of a symmetric positive semidefinite block at the (2,2) position. More precisely, a sufficient condition is derived when a (nonsymmetric) saddle point matrix of the form $[A\;\;B^T; -B\;C]$ with $A=A^T>0$, full rank $B$, and $C=C^T\geq 0$, is diagonalizable and has real and positive eigenvalues.en
dc.identifier.issn2197-8085
dc.identifier.urihttps://depositonce.tu-berlin.de/handle/11303/15597
dc.identifier.urihttp://dx.doi.org/10.14279/depositonce-14370
dc.language.isoenen
dc.rights.urihttp://rightsstatements.org/vocab/InC/1.0/en
dc.subject.ddc510 Mathematiken
dc.subject.othersaddle point problemen
dc.subject.othereigenvaluesen
dc.subject.otherStokes problemen
dc.subject.othernormal matricesen
dc.titleA note on the eigenvalues of saddle point 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.issuenumber2006, 10en
tub.series.namePreprint-Reihe des Instituts für Mathematik, Technische Universität Berlinen
tub.subject.msc200065F15 Eigenvalues, eigenvectorsen
tub.subject.msc200065N22 Solution of discretized equationsen
tub.subject.msc200065F50 Sparse matricesen

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