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Structure preserving stratification of skew-symmetric matrix polynomials
Department of Computing Science, Umeå University, Umeå, Sweden.ORCID-id: 0000-0001-9110-6182
2017 (engelsk)Inngår i: Linear Algebra and its Applications, ISSN 0024-3795, E-ISSN 1873-1856, Vol. 532, s. 266-286Artikkel i tidsskrift (Fagfellevurdert) Published
Abstract [en]

We study how elementary divisors and minimal indices of a skew-symmetric matrix polynomial of odd degree may change under small perturbations of the matrix coefficients. We investigate these changes qualitatively by constructing the stratifications (closure hierarchy graphs) of orbits and bundles for skew-symmetric linearizations. We also derive the necessary and sufficient conditions for the existence of a skew-symmetric matrix polynomial with prescribed degree, elementary divisors, and minimal indices.

sted, utgiver, år, opplag, sider
Elsevier , 2017. Vol. 532, s. 266-286
Emneord [en]
Skew-symmetric matrix polynomials, Matrix polynomials, Stratifications, Skew-symmetric matrix pencils, Orbit, Bundle
HSV kategori
Forskningsprogram
datalogi; administrativ databehandling
Identifikatorer
URN: urn:nbn:se:oru:diva-74878DOI: 10.1016/j.laa.2017.06.044ISI: 000411297500017Scopus ID: 2-s2.0-85022339632OAI: oai:DiVA.org:oru-74878DiVA, id: diva2:1332910
Forskningsfinansiär
Swedish Research Council, E0485301eSSENCE - An eScience CollaborationTilgjengelig fra: 2019-06-28 Laget: 2019-06-28 Sist oppdatert: 2019-09-20bibliografisk kontrollert

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