12 citations · 12 across the 4 of their papers we have counts for
6 papers · 1 filter
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…
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…
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…