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Orbit closure hierarchies of skew-symmetric matrix pencils
Department of Computing Science and HPC2N, Umeå University, Umeå, Sweden.
Department of Computing Science and HPC2N, Umeå University, Umeå, Sweden.
2014 (English)In: SIAM Journal on Matrix Analysis and Applications, ISSN 0895-4798, E-ISSN 1095-7162, Vol. 35, no 4, p. 1429-1443Article in journal (Refereed) Published
Abstract [en]

We study how small perturbations of a skew-symmetric matrix pencil may change its canonical form under congruence. This problem is also known as the stratification problem of skew-symmetric matrix pencil orbits and bundles. In other words, we investigate when the closure of the congruence orbit (or bundle) of a skew-symmetric matrix pencil contains the congruence orbit (or bundle) of another skew-symmetric matrix pencil. The developed theory relies on our main theorem stating that a skew-symmetric matrix pencil A - lambda B can be approximated by pencils strictly equivalent to a skew-symmetric matrix pencil C - lambda D if and only if A - lambda B can be approximated by pencils congruent to C - lambda D.

Place, publisher, year, edition, pages
Society for Industrial and Applied Mathematics, 2014. Vol. 35, no 4, p. 1429-1443
Keywords [en]
skew-symmetric matrix pencil, stratification, canonical structure information, orbit, bundle
National Category
Computer Sciences
Identifiers
URN: urn:nbn:se:oru:diva-74893DOI: 10.1137/140956841ISI: 000346843200010Scopus ID: 2-s2.0-84919931822OAI: oai:DiVA.org:oru-74893DiVA, id: diva2:1332893
Funder
eSSENCE - An eScience CollaborationSwedish Research Council, A0581501Available from: 2019-06-28 Created: 2019-06-28 Last updated: 2019-07-03Bibliographically approved

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Dmytryshyn, AndriiKågström, Bo

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