[EN] In this paper we solve the bounded rank perturbation problem for regular pencils over arbitrary fields. The solution is obtained by reducing the problem to a row completion problem for matrix pencils. The result ...
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 ...
Given an arbitrary matrix pencil, we obtain explicit necessary and sufficient conditions for the existence of a pencil strictly equivalent to it with a prescribed constant subpencil, for arbitrary fields. (C) 2013 Elsevier ...
[EN] 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 fields. (C) 2020 Elsevier Inc. All rights ...