Supertropical matrix algebra III: Powers of matrices and generalized eigenspaces

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dc.bibliographicCitation.seriesTitleOberwolfach Preprints (OWP)eng
dc.bibliographicCitation.volume2010-20
dc.contributor.authorIzhakian, Zur
dc.contributor.authorRowen, Louis
dc.date.available2019-06-28T08:02:03Z
dc.date.issued2010
dc.description.abstractWe investigate powers of supertropical matrices, with special attention to the role of the co- e±cients of the supertropical characteristic polynomial (especially the supertropical trace) in controlling the rank of a power of a matrix. This leads to a Jordan-type decomposition of supertropical matrices, together with a generalized eigenspace decomposition of a power of an arbitrary supertropical matrix.eng
dc.description.versionpublishedVersioneng
dc.formatapplication/pdf
dc.identifier.issn1864-7596
dc.identifier.urihttps://doi.org/10.34657/3317
dc.identifier.urihttps://oa.tib.eu/renate/handle/123456789/1695
dc.language.isoengeng
dc.publisherOberwolfach : Mathematisches Forschungsinstitut Oberwolfacheng
dc.relation.doihttps://doi.org/10.14760/OWP-2010-20
dc.rights.licenseThis document may be downloaded, read, stored and printed for your own use within the limits of § 53 UrhG but it may not be distributed via the internet or passed on to external parties.eng
dc.rights.licenseDieses Dokument darf im Rahmen von § 53 UrhG zum eigenen Gebrauch kostenfrei heruntergeladen, gelesen, gespeichert und ausgedruckt, aber nicht im Internet bereitgestellt oder an Außenstehende weitergegeben werden.ger
dc.subjectTropical algebraeng
dc.subjectpowers of matriceseng
dc.subjectnilpotent and ghostpotent matriceseng
dc.subjecteigenspaceseng
dc.subjectJordan decompositioneng
dc.subject.ddc510eng
dc.titleSupertropical matrix algebra III: Powers of matrices and generalized eigenspaceseng
dc.typereporteng
dc.typeTexteng
tib.accessRightsopenAccesseng
wgl.contributorMFOeng
wgl.subjectMathematikeng
wgl.typeReport / Forschungsbericht / Arbeitspapiereng
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