3 papers
math.AC2026
Block-diagonal reduction of matrices over commutative rings I. (Decomposition of modules vs decomposition of their support)
Dmitry Kerner, Victor Vinnikov
Consider rectangular matrices over a commutative ring R. Assume the ideal of maximal minors factorizes, I_m(A)=J_1*J_2. When is A left-right equivalent to a block-diagonal matrix?…
math.OA2025
Towards a noncommutative theory of Cowen-Douglas class of noncommuting operators
Prahllad Deb, Victor Vinnikov
The classical Cowen-Douglas class of (commuting tuples of) operators possessing an open set of (joint) eigenvalues of finite constant multiplicity was introduced by Cowen and Dougl…
math.FA2024
Strictly Stable Hurwitz Polynomials and their Determinantal Representations
Victor Vinnikov, Hugo J. Woerdeman
We establish various certifying determinantal representation results for a polynomial that contains as a factor a prescribed multivariable polynomials that is strictly stable on a…