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dc.contributor.author | Cantó Colomina, Begoña | es_ES |
dc.contributor.author | Cantó Colomina, Rafael | es_ES |
dc.contributor.author | Urbano Salvador, Ana María | es_ES |
dc.date.accessioned | 2022-02-04T19:03:40Z | |
dc.date.available | 2022-02-04T19:03:40Z | |
dc.date.issued | 2021-01-15 | es_ES |
dc.identifier.issn | 0024-3795 | es_ES |
dc.identifier.uri | http://hdl.handle.net/10251/180502 | |
dc.description.abstract | [EN] Let A be an irreducible totally nonnegative matrix with rank r and principal rank p, that is, all minors of A are nonnegative, r is the size of the largest invertible square submatrix of A and p is the size of its largest invertible principal submatrix. A triple (n,r,p) is called realizable if there exists an n*n irreducible totally nonnegative matrix A with rank r and principal rank p. In this work we present a method to construct irreducible totally nonnegative matrices associated with a realizable triple (n,r,p) and with a prescribed Jordan canonical form corresponding to its zero eigenvalue. | es_ES |
dc.description.sponsorship | This research was supported by the Ministerio de Economia y Competitividad under the Spanish DGI grant MTM2017-85669-P-AR | es_ES |
dc.language | Inglés | es_ES |
dc.publisher | Elsevier | es_ES |
dc.relation.ispartof | Linear Algebra and its Applications | es_ES |
dc.rights | Reserva de todos los derechos | es_ES |
dc.subject | Totally nonnegative matrix | es_ES |
dc.subject | Irreducible matrix | es_ES |
dc.subject | Principal rank | es_ES |
dc.subject | Jordan canonical form | es_ES |
dc.subject.classification | MATEMATICA APLICADA | es_ES |
dc.title | Irreducible totally nonnegative matrices with a prescribed Jordan structure | es_ES |
dc.type | Artículo | es_ES |
dc.identifier.doi | 10.1016/j.laa.2020.09.001 | es_ES |
dc.relation.projectID | info:eu-repo/grantAgreement/AEI/Plan Estatal de Investigación Científica y Técnica y de Innovación 2013-2016/MTM2017-85669-P/ES/PROBLEMAS MATRICIALES: COMPUTACION, TEORIA Y APLICACIONES/ | 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 | Cantó Colomina, B.; Cantó Colomina, R.; Urbano Salvador, AM. (2021). Irreducible totally nonnegative matrices with a prescribed Jordan structure. Linear Algebra and its Applications. 609:129-151. https://doi.org/10.1016/j.laa.2020.09.001 | es_ES |
dc.description.accrualMethod | S | es_ES |
dc.relation.publisherversion | https://doi.org/10.1016/j.laa.2020.09.001 | es_ES |
dc.description.upvformatpinicio | 129 | es_ES |
dc.description.upvformatpfin | 151 | es_ES |
dc.type.version | info:eu-repo/semantics/publishedVersion | es_ES |
dc.description.volume | 609 | es_ES |
dc.relation.pasarela | S\419531 | es_ES |
dc.contributor.funder | AGENCIA ESTATAL DE INVESTIGACION | es_ES |