Geometry of spaces for matrix polynomial Fiedler linearizations
2015 (English)Report (Other academic)
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
2015. , 28 p.
Report / UMINF, ISSN 0348-0542 ; 15.17
Mathematics Computer and Information Science
IdentifiersURN: urn:nbn:se:umu:diva-111639OAI: oai:DiVA.org:umu-111639DiVA: diva2:872399
FunderSwedish Research Council, E0485301eSSENCE - An eScience Collaboration