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Orbit closure hierarchies of skew-symmetric matrix pencils
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.
2014 (English)Report (Other academic)
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. This theory relies on our main theorem stating that a skew-symmetric matrix pencil A-λB can be approximated by pencils strictly equivalent to a skew-symmetric matrix pencil C-λD if and only if A-λB can be approximated by pencils congruent to C-λD.

Place, publisher, year, edition, pages
Umeå: Umeå universitet , 2014. , p. 18
Series
UMINF, ISSN 0348-0542 ; 14/02
Keywords [en]
Skew-symmetric matrix pencil, stratification, canonical structure information, orbits
National Category
Computer Sciences Computational Mathematics
Identifiers
URN: urn:nbn:se:oru:diva-74894OAI: oai:DiVA.org:oru-74894DiVA, id: diva2:1332887
Available from: 2019-06-28 Created: 2019-06-28 Last updated: 2019-08-06Bibliographically approved

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Orbit closure hierarchies of skew-symmetric matrix pencils(2109 kB)56 downloads
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http://www8.cs.umu.se/research/uminf/reports/2014/002/part1.pdf

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Dmytryshyn, AndriiKågström, Bo
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CiteExportLink to record
Permanent link

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Cite
Citation style
  • apa
  • ieee
  • modern-language-association-8th-edition
  • vancouver
  • Other style
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Language
  • de-DE
  • en-GB
  • en-US
  • fi-FI
  • nn-NO
  • nn-NB
  • sv-SE
  • Other locale
More languages
Output format
  • html
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