Andrii Dmytryshyn

activity

20102026

most citedMiniversal deformations of matrices of bilinear forms

33 citations · 123 across the 18 of their papers we have counts for

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Showing 2017Show all

2 papers · 1 filter

math.RT2017★ 30 cited

Generalization of Roth's solvability criteria to systems of matrix equations

Andrii Dmytryshyn, Vyacheslav Futorny, Tetiana Klymchuk +1

W.E. Roth (1952) proved that the matrix equation $A X - X B = C$ has a solution if and only if the matrices $[A 0 C B]$ and $\left[\begin{matrix}A&0…

math.RA2017

Generic skew-symmetric matrix polynomials with fixed rank and fixed odd grade

Andrii Dmytryshyn, Froilan M. Dopico

We show that the set of $m \times m$ complex skew-symmetric matrix polynomials of odd grade $d$ , i.e., of degree at most $d$ , and (normal) rank at most $2 r$ is the closure of the s…