Orbit Closure Hierarchies of Skew-symmetric Matrix Pencils
نویسندگان
چکیده
منابع مشابه
Orbit Closure Hierarchies of Skew-symmetric Matrix Pencils
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 skewsymmetric 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 ske...
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Equivalence of matrix pencils (pairs of pq matrices over C) is given by the GL p GL q-action of simultaneous left and right multiplication. The orbits under this group action were described by Kronecker in 1890 in terms of pencil invariants: column indices, row indices, and elementary divisors. In this paper we describe the topological closures of these orbits, a problem motivated by our work i...
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ژورنال
عنوان ژورنال: SIAM Journal on Matrix Analysis and Applications
سال: 2014
ISSN: 0895-4798,1095-7162
DOI: 10.1137/140956841