12 citations · 14 across the 10 of their papers we have counts for
13 papers
Row completion of polynomial and rational matrices II
Agurtzane Amparan, Itziar Baragaña, Silvia Marcaida +1
We study the row completion problem of polynomial and rational matrices with partial prescription of the structural data. The prescription of the complete structural data has been…
Bounds for the change of the Weyr characteristic of matrix pencils after 1-rank perturbations
Itziar Baragaña, Alicia Roca
The complete characterization of the Kronecker structure of a matrix pencil perturbed by another pencil of rank one is known, and it is stated in terms of very involved conditions.…
Polynomial and rational matrices with the invariant rational functions and the four sequences of minimal indices prescribed
Itziar Baragaña, Froilán M. Dopico, Silvia Marcaida +1
The complete eigenstructure, or structural data, of a rational matrix is comprised by its invariant rational functions, both finite and at infinity, which in turn determine…
Row completion of polynomial and rational matrices
Agurtzane Amparan, Itziar Baragaña, Silvia Marcaida +1
We characterize the existence of a polynomial (rational) matrix when its eigenstructure (complete structural data) and some of its rows are prescribed. For polynomial matrices, thi…
Isomorphisms between lattices of hyperinvariant subspaces
David Mingueza, M. Eulàlia Montoro, Alicia Roca
Given two nilpotent endomorphisms, we determine when their lattices of hyperinvariant subspaces are isomorphic. The study of the lattice of hyperinvariant subspaces can be reduced…
Weierstrass structure and eigenvalue placement of regular matrix pencils under low rank perturbations
Itziar Baragaña, Alicia Roca
We solve the problem of determining the Weierstrass structure of a regular matrix pencil obtained by a low rank perturbation of another regular matrix pencil. We apply the result t…
Row or column completion of polynomial matrices of given degree II
Agurtzane Amparan, Itziar Baragaña, Silvia Marcaida +1
The row (column) completion problem of polynomial matrices of given degree with prescribed eigenstructure has been studied in \cite{AmBaMaRo23}, where several results of prescripti…
Row or column completion of polynomial matrices of given degree
A. Amparan, I. Baragaña, S. Marcaida +1
We solve the problem of characterizing the existence of a polynomial matrix of fixed degree when its eigenstructure (or part of it) and some of its rows (columns) are prescribed. M…
On the change of the Weyr characteristics of matrix pencils after rank-one perturbations
Itziar Baragaña, Alicia Roca
The change of the Kronecker structure of a matrix pencil perturbed by another pencil of rank one has been characterized in terms of the homogeneous invariant factors and the chains…
Rank-one perturbations of matrix pencils
Itziar Baragaña, Alicia Roca
We solve the problem of characterizing the Kronecker structure of a matrix pencil obtained by a rank-one perturbation of another matrix pencil. The results hold over arbitrary fiel…
The centralizer of an endomorphism over an arbitrary field
Mingueza David, Montoro M. Eulalia, Roca Alicia
The centralizer of an endomorphism of a finite dimensional vector space is known when the endomorphism is nonderogatory or when its minimal polynomial splits over the field. It is…
Fixed rank perturbations of regular matrix pencils
Itziar Baragaña, Alicia Roca
A characterization of the structure of a regular matrix pencil obtained by a bounded rank perturbation of another regular matrix pencil has been recently obtained. The result gener…
The lattice of characteristic subspaces of an endomorphism with Jordan-Chevalley decomposition
David Mingueza, M. Eulàlia Montoro, Alicia Roca
Given an endomorphism A over a finite dimensional vector space having Jordan-Chevalley decomposition, the lattices of invariant and hyperinvariant subspaces of A can be obtained fr…