4 papers
Distance to nearest skew-symmetric matrix polynomials of bounded rank
Andrii Dmytryshyn, Froilán M. Dopico, Rakel Hellberg
We propose an algorithm that approximates a given matrix polynomial of degree by another skew-symmetric matrix polynomial of a specified rank and degree at most . The algori…
Canonical forms for pairs of matrices associated with Lagrangian and Dirac subspaces
Sweta Das, Andrii Dmytryshyn, Volker Mehrmann
We derive the canonical forms for a pair of complex matrices under transformations , and , w…
Minimal degenerations of orbits of skew-symmetric matrix pencils
Sweta Das, Andrii Dmytryshyn
Complete eigenstructure, e.g., eigenvalues with multiplicities and minimal indices, of a skew-symmetric matrix pencil may change drastically if the matrix coefficients of the penci…
Minimal rank factorizations of polynomial matrices
Andrii Dmytryshyn, Froilán Dopico, Paul Van Dooren
We investigate rank revealing factorizations of polynomial matrices into products of three, , or two, , polynom…