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Ordered matrices with nonnegative group projector

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Ordered matrices with nonnegative group projector

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dc.contributor.author Herrero Debón, Alicia es_ES
dc.contributor.author Thome, Néstor es_ES
dc.date.accessioned 2021-02-25T04:48:54Z
dc.date.available 2021-02-25T04:48:54Z
dc.date.issued 2020-01-09 es_ES
dc.identifier.issn 1578-7303 es_ES
dc.identifier.uri http://hdl.handle.net/10251/162354
dc.description.abstract [EN] In this paper, the most usual matrix partial orders are considered on the ring of real matrices. These orders are studied on at most index 1 matrices having nonnegative group projector by using a specific block structure. The goal of this paper is to analyze how this structure is inherited by predecessors ordered under minus, sharp, star, and one-sided orders. In addition, the case of arbitrary index (greater than 1) is also investigated by means of the cn-partial order and using the Drazin inverse. es_ES
dc.description.sponsorship An earlier version of this paper was presented at the Conference "Linear Algebra, Matrix Analysis and Applications. ALAMA2018", held in Sant Joan d'Alacant on May/June 2018. This work has been partially supported by Ministerio de Economia, Industria y Competitividad of Spain (Grant Red de Excelencia MTM2017-90682-REDT) and by Universidad Nacional del Sur of Argentina (Grant 24/L108) es_ES
dc.language Inglés es_ES
dc.publisher Springer-Verlag es_ES
dc.relation.ispartof Revista de la Real Academia de Ciencias Exactas Físicas y Naturales Serie A Matemáticas es_ES
dc.rights Reserva de todos los derechos es_ES
dc.subject {1}-inverses es_ES
dc.subject Group inverse es_ES
dc.subject Moore-Penrose inverse es_ES
dc.subject Minus partial order es_ES
dc.subject Star partial order es_ES
dc.subject Sharp partial order es_ES
dc.subject.classification MATEMATICA APLICADA es_ES
dc.title Ordered matrices with nonnegative group projector es_ES
dc.type Artículo es_ES
dc.identifier.doi 10.1007/s13398-020-00781-y es_ES
dc.relation.projectID info:eu-repo/grantAgreement/UNS//24%2FL108/ 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.rights.accessRights Cerrado es_ES
dc.contributor.affiliation Universitat Politècnica de València. Departamento de Matemática Aplicada - Departament de Matemàtica Aplicada es_ES
dc.description.bibliographicCitation Herrero Debón, A.; Thome, N. (2020). Ordered matrices with nonnegative group projector. Revista de la Real Academia de Ciencias Exactas Físicas y Naturales Serie A Matemáticas. 114(2):1-14. https://doi.org/10.1007/s13398-020-00781-y es_ES
dc.description.accrualMethod S es_ES
dc.relation.publisherversion https://doi.org/10.1007/s13398-020-00781-y es_ES
dc.description.upvformatpinicio 1 es_ES
dc.description.upvformatpfin 14 es_ES
dc.type.version info:eu-repo/semantics/publishedVersion es_ES
dc.description.volume 114 es_ES
dc.description.issue 2 es_ES
dc.relation.pasarela S\397797 es_ES
dc.contributor.funder Agencia Estatal de Investigación es_ES
dc.contributor.funder Universidad Nacional del Sur, Argentina es_ES
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