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Geometry of spaces for matrix polynomial Fiedler linearizations
Department of Computing Science and HPC2N, Umeå University, Umeå, Sweden.ORCID-id: 0000-0001-9110-6182
Department of Computing Science and HPC2N, Umeå University, Umeå, Sweden.
Department of Computing Science and HPC2N, Umeå University, Umeå, Sweden.
Universite catholique de Louvain, Belgium.
2015 (engelsk)Rapport (Annet vitenskapelig)
Abstract [en]

We study how small perturbations of matrix polynomials may change their elementary divisors and minimal indices by constructing the closure hierarchy graphs (stratifications) of orbits and bundles of matrix polynomial Fiedler linearizations. We show that the stratifica-tion graphs do not depend on the choice of Fiedler linearization which means that all the spaces of the matrix polynomial Fiedler lineariza-tions have the same geometry (topology). The results are illustrated by examples using the software tool StratiGraph.

sted, utgiver, år, opplag, sider
Umeå: Umeå universitet , 2015. , s. 28
Serie
UMINF, ISSN 0348-0542 ; 15/17
HSV kategori
Identifikatorer
URN: urn:nbn:se:oru:diva-74891OAI: oai:DiVA.org:oru-74891DiVA, id: diva2:1332897
Forskningsfinansiär
Swedish Research Council, E0485301eSSENCE - An eScience CollaborationTilgjengelig fra: 2019-06-28 Laget: 2019-06-28 Sist oppdatert: 2019-08-06bibliografisk kontrollert

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Geometry of spaces for matrix polynomial Fiedler linearizations(2276 kB)15 nedlastinger
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