research
∙
11/16/2022
Linearizations of matrix polynomials viewed as Rosenbrock's system matrices
A well known method to solve the Polynomial Eigenvalue Problem (PEP) is ...
share
research
∙
09/21/2022
Generic eigenstructures of Hermitian pencils
We obtain the generic complete eigenstructures of complex Hermitian n× n...
research
∙
10/24/2021
Strongly minimal self-conjugate linearizations for polynomial and rational matrices
We prove that we can always construct strongly minimal linearizations of...
research
∙
03/30/2021
Structural backward stability in rational eigenvalue problems solved via block Kronecker linearizations
We study the backward stability of running a backward stable eigenstruct...
research
∙
11/02/2020
Block Full Rank Linearizations of Rational Matrices
Block full rank pencils introduced in [Dopico et al., Local linearizatio...
research
∙
09/01/2020
Diagonal scalings for the eigenstructure of arbitrary pencils
In this paper we show how to construct diagonal scalings for arbitrary m...
research
∙
12/27/2019
On minimal bases and indices of rational matrices and their linearizations
This paper presents a complete theory of the relationship between the mi...
research
∙
11/04/2019
Generic symmetric matrix polynomials with bounded rank and fixed odd grade
We determine the generic complete eigenstructures for n × n complex symm...
research
∙
07/25/2019