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Nonnegative combined matrices

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Nonnegative combined matrices

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dc.contributor.author Bru García, Rafael es_ES
dc.contributor.author Gasso Matoses, María Teresa es_ES
dc.contributor.author Gimenez Manglano, María Isabel es_ES
dc.contributor.author Santana, Maximo es_ES
dc.date.accessioned 2015-04-28T14:17:50Z
dc.date.available 2015-04-28T14:17:50Z
dc.date.issued 2014-04
dc.identifier.issn 1110-757X
dc.identifier.uri http://hdl.handle.net/10251/49399
dc.description.abstract The combined matrix of a nonsingular real matrix 𝐴 is the Hadamard (entrywise) product 𝐴 ∘ (𝐴−1) 𝑇 . It is well known that row (column) sums of combined matrices are constant and equal to one. Recently, some results on combined matrices of different classes of matrices have been done. In this work, we study some classes of matrices such that their combined matrices are nonnegative and obtain the relation with the sign pattern of 𝐴. In this case the combined matrix is doubly stochastic. es_ES
dc.description.sponsorship The authors would like to thank the referees for their suggestions that have improved the reading of this paper. This research is supported by Spanish DGI (Grant no. MTM2010-18674). en_EN
dc.language Inglés es_ES
dc.publisher Hindawi Publishing Corporation es_ES
dc.relation.ispartof Journal of Applied Mathematics es_ES
dc.rights Reconocimiento (by) es_ES
dc.subject.classification MATEMATICA APLICADA es_ES
dc.title Nonnegative combined matrices es_ES
dc.type Artículo es_ES
dc.identifier.doi 10.1155/2014/182354
dc.relation.projectID info:eu-repo/grantAgreement/MICINN//MTM2010-18674/ES/SOLUCION ITERATIVA DE SISTEMAS LINEALES 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 Bru García, R.; Gasso Matoses, MT.; Gimenez Manglano, MI.; Santana, M. (2014). Nonnegative combined matrices. Journal of Applied Mathematics. 2014. https://doi.org/10.1155/2014/182354 es_ES
dc.description.accrualMethod S es_ES
dc.relation.publisherversion http://www.hindawi.com/journals/jam/2014/182354/ es_ES
dc.type.version info:eu-repo/semantics/publishedVersion es_ES
dc.description.volume 2014 es_ES
dc.relation.senia 271727
dc.contributor.funder Ministerio de Ciencia e Innovación es_ES
dc.description.references Fiedler, M., & Markham, T. L. (2011). Combined matrices in special classes of matrices. Linear Algebra and its Applications, 435(8), 1945-1955. doi:10.1016/j.laa.2011.03.054 es_ES
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dc.description.references Bru, R., Corral, C., Giménez, I., & Mas, J. (2008). Classes of general H-matrices. Linear Algebra and its Applications, 429(10), 2358-2366. doi:10.1016/j.laa.2007.10.030 es_ES
dc.description.references Fiedler, M., & Hall, F. J. (2012). G-matrices. Linear Algebra and its Applications, 436(3), 731-741. doi:10.1016/j.laa.2011.08.001 es_ES
dc.description.references Ando, T. (1987). Totally positive matrices. Linear Algebra and its Applications, 90, 165-219. doi:10.1016/0024-3795(87)90313-2 es_ES
dc.description.references Peña, J. M. (2003). On nonsingular sign regular matrices. Linear Algebra and its Applications, 359(1-3), 91-100. doi:10.1016/s0024-3795(02)00437-8 es_ES


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