Baragana, Itziar; Roca Martinez, Alicia(Society for Industrial and Applied Mathematics, 2022)
[EN] 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 of column and row minimal indices ...
The results in this paper are within the scope of matrix pencil completion problems. Given an arbitrary matrix pencil, we obtain necessary and sufficient conditions for the existence of a strictly equivalent pencil with a ...
[EN] In this work we study the change of the structure of a regular pencil when we perform small perturbations over some of its rows and the other rows remain unaltered. We provide necessary conditions when several rows ...