| 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 | Abstract: | 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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