Orbit closure hierarchies of skew-symmetric matrix pencils
2014 (English)Report (Other academic)
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. , 18 p.
, UMINF, ISSN 0348-0542 ; 14.02
skew-symmetric matrix pencil, stratification, canonical structure information, orbits
Computer Science Computational Mathematics
IdentifiersURN: urn:nbn:se:umu:diva-87500OAI: oai:DiVA.org:umu-87500DiVA: diva2:709586