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Fixed rank perturbations of regular matrix pencils

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Fixed rank perturbations of regular matrix pencils

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dc.contributor.author BARAGAÑA GARATE, ITZIAR es_ES
dc.contributor.author Roca Martinez, Alicia es_ES
dc.date.accessioned 2021-02-11T04:32:15Z
dc.date.available 2021-02-11T04:32:15Z
dc.date.issued 2020-03-15 es_ES
dc.identifier.issn 0024-3795 es_ES
dc.identifier.uri http://hdl.handle.net/10251/161048
dc.description.abstract [EN] A characterization of the structure of a regular matrix pencil obtained by a bounded rank perturbation of another regular matrix pencil has been recently obtained. The result generalizes the solution for the bounded rank perturbation problem of a square constant matrix. When comparing the fixed rank perturbation problem of a constant matrix with the bounded rank perturbation problem we realize that both problems are of different nature; the first one is more restrictive. In this paper we characterize the structure of a regular matrix pencil obtained by a fixed rank perturbation of another regular matrix pencil. We apply the result to find necessary and sufficient conditions for the existence of a fixed rank perturbation such that the perturbed pencil has a prescribed determinant. The results hold over fields with sufficient number of elements. (C) 2019 Elsevier Inc. All rights reserved. es_ES
dc.description.sponsorship The first author was partially supported by "Ministerio de Economia, Industria y Competitividad (MINECO)" of Spain and "Fondo Europeo de Desarrollo Regional (FEDER)" of EU through grants MTM2017-83624-P and MTM2017-90682-REDT, and by UPV/EHU through grant GIU16/42. The second author was partially supported by "Ministerio de Economia, Industria y Competitividad (MINECO)" of Spain and "Fondo Europeo de Desarrollo Regional (FEDER)" of EU through grants MTM2017-83624-P and MTM2017-90682-REDT. We would like to thank the Reviewer for his/her valuable remarks and comments. es_ES
dc.language Inglés es_ES
dc.publisher Elsevier es_ES
dc.relation.ispartof Linear Algebra and its Applications es_ES
dc.rights Reconocimiento - No comercial - Sin obra derivada (by-nc-nd) es_ES
dc.subject Regular matrix pencil es_ES
dc.subject Weierstrass structure es_ES
dc.subject Fixed rank perturbation es_ES
dc.subject Matrix spectral perturbation theory es_ES
dc.subject.classification MATEMATICA APLICADA es_ES
dc.title Fixed rank perturbations of regular matrix pencils es_ES
dc.type Artículo es_ES
dc.identifier.doi 10.1016/j.laa.2019.12.022 es_ES
dc.relation.projectID info:eu-repo/grantAgreement/AEI//MTM2017-90682-REDT/ES/RED TEMATICA DE ALGEBRA LINEAL, ANALISIS MATRICIAL Y APLICACIONES/ es_ES
dc.relation.projectID info:eu-repo/grantAgreement/UPV%2FEHU//GIU16%2F42/ es_ES
dc.relation.projectID info:eu-repo/grantAgreement/AEI/Plan Estatal de Investigación Científica y Técnica y de Innovación 2013-2016/MTM2017-83624-P/ES/MODELOS POLINOMIALES, SISTEMAS CUADRATICOS Y MATRICES: ESTRUCTURA, LINEALIZACIONES Y PERTURBACION/ es_ES
dc.rights.accessRights Abierto es_ES
dc.contributor.affiliation Universitat Politècnica de València. Departamento de Matemática Aplicada - Departament de Matemàtica Aplicada es_ES
dc.description.bibliographicCitation Baragaña Garate, I.; Roca Martinez, A. (2020). Fixed rank perturbations of regular matrix pencils. Linear Algebra and its Applications. 589:201-221. https://doi.org/10.1016/j.laa.2019.12.022 es_ES
dc.description.accrualMethod S es_ES
dc.relation.publisherversion https://doi.org/10.1016/j.laa.2019.12.022 es_ES
dc.description.upvformatpinicio 201 es_ES
dc.description.upvformatpfin 221 es_ES
dc.type.version info:eu-repo/semantics/publishedVersion es_ES
dc.description.volume 589 es_ES
dc.relation.pasarela S\400278 es_ES
dc.contributor.funder European Regional Development Fund es_ES
dc.contributor.funder Universidad del País Vasco/Euskal Herriko Unibertsitatea es_ES
dc.contributor.funder Agencia Estatal de Investigación es_ES
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dc.description.references Silva, F. C. (1988). The rank of the difference of matrices with prescribed similarity classes. Linear and Multilinear Algebra, 24(1), 51-58. doi:10.1080/03081088808817897 es_ES
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dc.description.references Zaballa, I. (1991). Pole Assignment and Additive Perturbations of Fixed Rank. SIAM Journal on Matrix Analysis and Applications, 12(1), 16-23. doi:10.1137/0612003 es_ES


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