Generic matrix polynomials with fixed rank and fixed degree

Andrii Dmytryshyn, Froilán M. Dopico

The set ${\mathcal{P}}_{r,d}^{m\times n}$ of $m\times n$ complex matrix polynomials of grade $d$ and (normal) rank at most $r$ in a complex $(d+1)mn$ dimensional space is studied. For…