10 citations · 24 across the 22 of their papers we have counts for
5 papers · 1 filter
Structured backward error analysis of linearized structured polynomial eigenvalue problems
Froilán M. Dopico, Javier Pérez, Paul Van Dooren
We introduce a new class of structured matrix polynomials, namely, the class of M_A-structured matrix polynomials, to provide a common framework for many classes of structured matr…
Generic matrix polynomials with fixed rank and fixed degree
Andrii Dmytryshyn, Froilán M. Dopico
The set of complex matrix polynomials of grade and (normal) rank at most in a complex dimensional space is studied. For…
Robustness and Perturbations of Minimal Bases
Paul Van Dooren, Froilán M. Dopico
Polynomial minimal bases of rational vector subspaces are a classical concept that plays an important role in control theory, linear systems theory, and coding theory. It is a comm…
A unified approach to Fiedler-like pencils via strong block minimal bases pencils
Maribel Bueno Cachadina, Froilán M. Dopico, Javier Pérez +2
The standard way of solving the polynomial eigenvalue problem associated with a matrix polynomial is to embed the matrix polynomial into a matrix pencil, transforming the problem i…
An explicit description of the irreducible components of the set of matrix pencils with bounded normal rank
Fernando De Terán, Froilán M. Dopico, J. M. Landsberg
The set of mxn singular matrix pencils with normal rank at most r is an algebraic set with r+1 irreducible components. These components are the closure of the orbits (under strict…