Work

Even grade generic skew-symmetric matrix polynomials with bounded rank

Year: 2024

Type: article

Abstract: We show that the set of m×m complex skew-symmetric matrix polynomials of even 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 certain, explicitly described, complete eigenstructure. This complete eigenstructure corresponds to the most generic m×m complex skew-symmetric matrix polynomials of even grade d and rank at most 2r. The analogous problem for the case of skew-symmetric matrix polynomials of odd grade is solved in [24].

Source: Linear Algebra and its Applications

DOI: 10.1016/j.laa.2024.07.024

Authors: Fernando De Terán, Andrii Dmytryshyn, Froilán M. Dopico

Institutions: Universidad Carlos III de Madrid, Örebro University

Language: English

Topic: Matrix Theory and Algorithms

Subfield: Computational Theory and Mathematics

Field: Computer Science

Domain: Physical Sciences

Open Access status: hybrid

Estimated APC paid: $2,870

Funders: Vetenskapsrådet, Agencia Estatal de Investigación