Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
5773026 | Linear Algebra and its Applications | 2018 | 18 Pages |
Abstract
We show that the set of mÃm complex skew-symmetric matrix polynomials of odd grade d, i.e., of degree at most d, and (normal) rank at most 2r is the closure of the single set of matrix polynomials with the certain, explicitly described, complete eigenstructure. This complete eigenstructure corresponds to the most generic mÃm complex skew-symmetric matrix polynomials of odd grade d and rank at most 2r. In particular, this result includes the case of skew-symmetric matrix pencils (d=1).
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
Authors
Andrii Dmytryshyn, Froilán M. Dopico,