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On nonsingularity of combinations of two group invertible matrices and two tripotent matrices

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On nonsingularity of combinations of two group invertible matrices and two tripotent matrices

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dc.contributor.author Liu, Xiaoji es_ES
dc.contributor.author Wu, Shuxia es_ES
dc.contributor.author Benítez López, Julio es_ES
dc.date.accessioned 2015-07-08T11:01:56Z
dc.date.available 2015-07-08T11:01:56Z
dc.date.issued 2011
dc.identifier.issn 0308-1087
dc.identifier.issn 1563-5139
dc.identifier.uri http://hdl.handle.net/10251/52825
dc.description.abstract Let T(1) and T(2) be two n x n tripotent matrices and c(1), c(2) two nonzero complex numbers. We mainly study the nonsingularity of combinations T = c(1)T(1) + c(2)T(2) - c(3)T(1)T(2) of two tripotent matrices T(1) and T(2), and give some formulae for the inverse of c(1)T(1) + c(2)T(2) - c(3)T(1)T(2) under some conditions. Some of these results are given in terms of group invertible matrices. (C) 2011 Taylor & Francis es_ES
dc.description.sponsorship X. Liu was supported by the National Natural Science Foundation of China (11061005) and the Ministry of Education Science and Technology Key Project (210164). J. Benitez was supported by Spanish Project MTM2010-18539. The authors wish to thank the referee for his/her careful review and comments which improved the quality of this article. en_EN
dc.language Inglés es_ES
dc.publisher Taylor & Francis es_ES
dc.relation.ispartof Linear and Multilinear Algebra es_ES
dc.rights Reserva de todos los derechos es_ES
dc.subject Diagonalization es_ES
dc.subject Group invertible matrix es_ES
dc.subject Linear combination es_ES
dc.subject Nonsingularity es_ES
dc.subject Tripotent matrix es_ES
dc.subject.classification MATEMATICA APLICADA es_ES
dc.title On nonsingularity of combinations of two group invertible matrices and two tripotent matrices es_ES
dc.type Artículo es_ES
dc.identifier.doi 10.1080/03081087.2011.558843
dc.relation.projectID info:eu-repo/grantAgreement/NSFC//11061005/ es_ES
dc.relation.projectID info:eu-repo/grantAgreement/MOST//210164/ es_ES
dc.relation.projectID info:eu-repo/grantAgreement/MICINN//MTM2010-18539/ES/DISEÑO, ANALISIS Y OPTIMIZACION DE METODOS DE RESOLUCION DE ECUACIONES Y SISTEMAS NO LINEALES. APLICACIONES A PROBLEMAS DE VALOR INICIAL Y FLUJO OPTICO/ 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 Liu, X.; Wu, S.; Benítez López, J. (2011). On nonsingularity of combinations of two group invertible matrices and two tripotent matrices. Linear and Multilinear Algebra. 59(12):1409-1417. https://doi.org/10.1080/03081087.2011.558843 es_ES
dc.description.accrualMethod S es_ES
dc.relation.publisherversion http://dx.doi.org/10.1080/03081087.2011.558843 es_ES
dc.description.upvformatpinicio 1409 es_ES
dc.description.upvformatpfin 1417 es_ES
dc.type.version info:eu-repo/semantics/publishedVersion es_ES
dc.description.volume 59 es_ES
dc.description.issue 12 es_ES
dc.relation.senia 205274
dc.contributor.funder Ministerio de Ciencia e Innovación es_ES
dc.contributor.funder Ministry of Science and Technology, China es_ES
dc.contributor.funder National Natural Science Foundation of China es_ES
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