33 citations · 123 across the 18 of their papers we have counts for
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Even grade generic skew-symmetric matrix polynomials with bounded rank
Fernando De Terán, Andrii Dmytryshyn, Froilán M. Dopico
We show that the set of complex skew-symmetric matrix polynomials of even grade , i.e., of degree at most , and (normal) rank at most is the closure of the…
Versal deformations: A tool of linear algebra
Andrii Dmytryshyn
Versal deformation of a matrix A is a normal form to which all matrices A + E, close to A, can be reduced by similarity transformation smoothly depending on the entries of A + E. I…
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, , polynomial matr…
Simulations of quantum dynamics with fermionic phase-space representations using numerical matrix factorizations as stochastic gauges
F Rousse, M Fasi, A Dmytryshyn +2
The Gaussian phase-space representation can be used to implement quantum dynamics for fermionic particles numerically. To improve numerical results, we explore the use of dynamical…