RT Journal Article
T1 Generic skew-symmetric matrix polynomials with fixed rank and fixed odd grade
A1 Dmytryshyn, Andrii
A1 Martínez Dopico, Froilán César
AB We show that the set of m x m 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 m x m 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).
PB Elsevier
SN 0024-3795
YR 2018
FD 2018-01-01
LK https://hdl.handle.net/10016/32253
UL https://hdl.handle.net/10016/32253
LA eng
DS e-Archivo
RD 1 sept. 2024