4 papers
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…