Authors: Baragaña, Itziar
Dodig, Marija 
Roca, Alicia
Stošić, Marko 
Affiliations: Mathematical Institute of the Serbian Academy of Sciences and Arts 
Title: Bounded rank perturbations of regular pencils over arbitrary fields
Journal: Linear Algebra and Its Applications
Volume: 601
First page: 180
Last page: 188
Issue Date: 15-Sep-2020
Rank: M21
ISSN: 0024-3795
DOI: 10.1016/j.laa.2020.05.015
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 generalizes the main result of [1], where a solution to the problem was given requiring a condition on the underlying field.
Keywords: Low rank perturbations | Matrix pencils | Row-completion of matrix pencils
Publisher: Elsevier
Project: Fundação para a Ciência e a Tecnologia, project UIDB/04721/2020
Fondo Europeo de Desarrollo Regional (FEDER), Grants MTM2017-83624-P, MTM2017-90682-REDT
UPV/EHU, Grant GIU16/42
Geometry and Topology of Manifolds, Classical Mechanics and Integrable Dynamical Systems 
Geometry, Education and Visualization With Applications 

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