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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 (English)Report (Other academic)
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.

Place, publisher, year, edition, pages
Umeå: Umeå universitet , 2015. , p. 28
Series
UMINF, ISSN 0348-0542 ; 15/17
National Category
Mathematics Computer and Information Sciences
Identifiers
URN: urn:nbn:se:oru:diva-74891OAI: oai:DiVA.org:oru-74891DiVA, id: diva2:1332897
Funder
Swedish Research Council, E0485301eSSENCE - An eScience CollaborationAvailable from: 2019-06-28 Created: 2019-06-28 Last updated: 2019-08-06Bibliographically approved

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Dmytryshyn, AndriiJohansson, StefanKågström, Bo

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2021222324252623 of 97
CiteExportLink to record
Permanent link

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Citation style
  • apa
  • harvard1
  • ieee
  • modern-language-association-8th-edition
  • vancouver
  • Other style
More styles
Language
  • de-DE
  • en-GB
  • en-US
  • fi-FI
  • nn-NO
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  • Other locale
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Output format
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  • text
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