Bounded rank perturbations of a regular matrix pencil

In this paper we study the possible Kronecker invariants of an arbitrary matrix pencil obtained by bounded rank perturbation of a regular matrix pencil. We solve this problem in the case of a perturbation of minimal rank.

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Bibliographic Details
Published in:Linear algebra and its applications 2024-05, Vol.689, p.126-154
Main Authors: Dodig, Marija, Stošić, Marko
Format: Article
Language:English
Subjects:
Completion of matrix pencils
Low rank perturbations
Matrix pencils
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Description
Summary:In this paper we study the possible Kronecker invariants of an arbitrary matrix pencil obtained by bounded rank perturbation of a regular matrix pencil. We solve this problem in the case of a perturbation of minimal rank.
ISSN:0024-3795
1873-1856
DOI:10.1016/j.laa.2024.02.028