Structure preserving stratification of skew-symmetric matrix polynomials
2015 (English)Report (Other academic)
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.
Place, publisher, year, edition, pages
Umeå: Umeå universitet , 2015. , 26 p.
Report / UMINF, ISSN 0348-0542 ; 15.16
Natural Sciences Mathematics Computer and Information Science
IdentifiersURN: urn:nbn:se:umu:diva-111634OAI: oai:DiVA.org:umu-111634DiVA: diva2:872388
FunderSwedish Research Council, E0485301eSSENCE - An eScience Collaboration