10 citations · 24 across the 22 of their papers we have counts for
5 papers · 1 filter
Robustness and perturbations of minimal bases II: The case with given row degrees
Froilán M. Dopico, Paul Van Dooren
This paper studies generic and perturbation properties inside the linear space of polynomial matrices whose rows have degrees bounded by a given list $d_1, \ldots,…
Block Kronecker Linearizations of Matrix Polynomials and their Backward Errors
Froilán M. Dopico, Piers W. Lawrence, Javier Pérez +1
We introduce a new family of strong linearizations of matrix polynomials---which we call "block Kronecker pencils"---and perform a backward stability analysis of complete polynomia…
Conditioning and backward error of block-symmetric block-tridiagonal linearizations of matrix polynomials
M. I. Bueno, F. M. Dopico, S. Furtado +1
For each square matrix polynomial of odd degree, a block-symmetric block-tridiagonal pencil was introduced by Antoniou and Vologiannidis in 2004, and a…
A compact rational Krylov method for large-scale rational eigenvalue problems
Froilán M. Dopico, Javier González-Pizarro
In this work, we propose a new method, termed as R-CORK, for the numerical solution of large-scale rational eigenvalue problems, which is based on a linearization and on a compact…
Generic skew-symmetric matrix polynomials with fixed rank and fixed odd grade
Andrii Dmytryshyn, Froilan M. Dopico
We show that the set of complex skew-symmetric matrix polynomials of odd grade , i.e., of degree at most , and (normal) rank at most is the closure of the s…