4 citations · 5 across the 4 of their papers we have counts for
5 papers
On bundle closures of matrix pencils and matrix polynomials
Fernando De Terán, Froilán M. Dopico, Vadym Koval +1
Bundles of matrix polynomials are sets of matrix polynomials with the same size and grade and the same eigenstructure up to the specific values of the eigenvalues. It is known that…
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…
Nonsingular systems of generalized Sylvester equations: an algorithmic approach
Fernando De Terán, Bruno Iannazzo, Federico Poloni +1
We consider the uniqueness of solution (i.e., nonsingularity) of systems of generalized Sylvester and -Sylvester equations with coefficients. After several r…
Solvability and uniqueness criteria for generalized Sylvester-type equations
Fernando De Terán, Bruno Iannazzo, Federico Poloni +1
We provide necessary and sufficient conditions for the generalized -Sylvester matrix equation, , to have exactly one solution for any right-hand side E…
A note on the consistency of a system of -Sylvester equations
Fernando De Terán
Let be a field with characteristic not , and , for . In this…