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dc.contributor.authorByers, Ralph
dc.contributor.authorBenner, Peter
dc.date.accessioned2021-12-17T10:06:10Z-
dc.date.available2021-12-17T10:06:10Z-
dc.date.issued2004-04-26
dc.identifier.issn2197-8085
dc.identifier.urihttps://depositonce.tu-berlin.de/handle/11303/15541-
dc.identifier.urihttp://dx.doi.org/10.14279/depositonce-14314-
dc.description.abstractThis paper introduces arithmetic-like operations on matrix pencils. The pencil-arithmetic operations extend elementary formulas for sums and products of rational numbers and include the algebra of linear transformations as a special case. These operations give an unusual perspective on a variety of pencil related computations. We derive generalizations of monodromy matrices and the matrix exponential. A new algorithm for computing a pencil arithmetic generalization of the matrix sign function does not use matrix inverses and gives an empirically forward numerically stable algorithm for extracting deflating subspaces.en
dc.language.isoenen
dc.rights.urihttp://rightsstatements.org/vocab/InC/1.0/en
dc.subject.ddc510 Mathematiken
dc.subject.othermatrix pencilen
dc.subject.othermatrix sign functionen
dc.subject.otherdifferential algebraic equationen
dc.subject.otheralgorithmen
dc.subject.otherarithmeticsen
dc.titleAn Arithmetic for Matrix Pencils: Theory and New Algorithmsen
dc.typeResearch Paperen
tub.accessrights.dnbfreeen
tub.publisher.universityorinstitutionTechnische Universität Berlinen
tub.series.issuenumber2004, 12en
tub.series.namePreprint-Reihe des Instituts für Mathematik, Technische Universität Berlinen
dc.type.versionsubmittedVersionen
tub.affiliationFak. 2 Mathematik und Naturwissenschaften » Inst. Mathematikde
tub.subject.msc200065F15 Eigenvalues, eigenvectorsen
tub.subject.msc200065F30 Other matrix algorithmsen
Appears in Collections:Technische Universität Berlin » Publications

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