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Algorithms for solving the inverse problem associated with KAK = A(s+1)

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Algorithms for solving the inverse problem associated with KAK = A(s+1)

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dc.contributor.author Lebtahi Ep-Kadi-Hahifi, Leila es_ES
dc.contributor.author Romero Martínez, José Oscar es_ES
dc.contributor.author Thome Coppo, Néstor Javier es_ES
dc.date.accessioned 2017-12-11T08:36:38Z
dc.date.available 2017-12-11T08:36:38Z
dc.date.issued 2017 es_ES
dc.identifier.issn 0377-0427 es_ES
dc.identifier.uri http://hdl.handle.net/10251/92205
dc.description.abstract [EN] In previous papers, the authors introduced and characterized a class of matrices called {K, s+1}-potent. Also, they established a method to construct these matrices. The purpose of this paper is to solve the associated inverse problem. Several algorithms are developed in order to find all involutory matrices K satisfying KAs+1K = A for a given matrix A ¿ C n×n and a given natural number s. The cases s = 0 and s ¿ 1 are separately studied since they produce different situations. In addition, some examples are presented showing the numerical performance of the methods. es_ES
dc.description.sponsorship This work was partially supported by Ministerio de Economía y Competitividad (Grant DGIMTM2013-43678-P and Redes de Excelencia MTM2015-68805-REDT) and Universidad de Buenos Aires, Secretaría de Ciencia y Técnica, Argentina (Grant EXP-UBA: 9.011/2013, Res.: (CS) No. 7000/13).
dc.language Inglés es_ES
dc.publisher Elsevier es_ES
dc.relation.ispartof Journal of Computational and Applied Mathematics es_ES
dc.rights Reserva de todos los derechos es_ES
dc.subject Involutory matrix es_ES
dc.subject {K, s + 1}-potent matrix es_ES
dc.subject Spectrum es_ES
dc.subject Algorithm es_ES
dc.subject Inverse problem es_ES
dc.subject.classification MATEMATICA APLICADA es_ES
dc.subject.classification INGENIERIA TELEMATICA es_ES
dc.title Algorithms for solving the inverse problem associated with KAK = A(s+1) es_ES
dc.type Artículo es_ES
dc.identifier.doi 10.1016/j.cam.2016.02.055 es_ES
dc.relation.projectID info:eu-repo/grantAgreement/MINECO//MTM2013-43678-P/ES/ANALISIS DE MODELOS MATEMATICOS CON COEFICIENTES MATRICIALES: FUNDAMENTOS TEORICOS Y APLICACIONES/
dc.relation.projectID info:eu-repo/grantAgreement/MINECO//MTM2015-68805-REDT/ES/RED TEMATICA DE ALGEBRA LINEAL, ANALISIS MATRICIAL Y APLICACIONES/
dc.relation.projectID info:eu-repo/grantAgreement/UBA//7000%2F13/
dc.rights.accessRights Abierto es_ES
dc.date.embargoEndDate 2019-01-02 es_ES
dc.contributor.affiliation Universitat Politècnica de València. Departamento de Comunicaciones - Departament de Comunicacions es_ES
dc.contributor.affiliation Universitat Politècnica de València. Departamento de Matemática Aplicada - Departament de Matemàtica Aplicada es_ES
dc.description.bibliographicCitation Lebtahi Ep-Kadi-Hahifi, L.; Romero Martínez, JO.; Thome Coppo, NJ. (2017). Algorithms for solving the inverse problem associated with KAK = A(s+1). Journal of Computational and Applied Mathematics. 309:333-341. https://doi.org/10.1016/j.cam.2016.02.055 es_ES
dc.description.accrualMethod S es_ES
dc.relation.publisherversion http://dx.doi.org/10.1016/j.cam.2016.02.055 es_ES
dc.description.upvformatpinicio 333 es_ES
dc.description.upvformatpfin 341 es_ES
dc.type.version info:eu-repo/semantics/publishedVersion es_ES
dc.description.volume 309 es_ES
dc.relation.pasarela S\316379 es_ES
dc.contributor.funder Universidad de Buenos Aires es_ES
dc.contributor.funder Ministerio de Economía y Competitividad


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