Orbit closure hierarchies of skew-symmetric matrix pencils
2014 (English)In: SIAM Journal on Matrix Analysis and Applications, ISSN 0895-4798, E-ISSN 1095-7162, Vol. 35, no 4, 1429-1443 p.Article in journal (Refereed) Published
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
2014. Vol. 35, no 4, 1429-1443 p.
skew-symmetric matrix pencil, stratification, canonical structure information, orbit, bundle
IdentifiersURN: urn:nbn:se:umu:diva-98914DOI: 10.1137/140956841ISI: 000346843200010OAI: oai:DiVA.org:umu-98914DiVA: diva2:784021
FundereSSENCE - An eScience CollaborationSwedish Research Council, A0581501