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From projectors to 1MP and MP1 generalized inverses and their induced partial orders

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From projectors to 1MP and MP1 generalized inverses and their induced partial orders

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dc.contributor.author Hernández, M. V. es_ES
dc.contributor.author Lattanzi, M. B. es_ES
dc.contributor.author Thome, Néstor es_ES
dc.date.accessioned 2022-02-28T19:03:17Z
dc.date.available 2022-02-28T19:03:17Z
dc.date.issued 2021-07 es_ES
dc.identifier.issn 1578-7303 es_ES
dc.identifier.uri http://hdl.handle.net/10251/181146
dc.description.abstract [EN] This paper deals with new generalized inverses of rectangular complex matrices, namely 1MP and MP1-inverses. They are constructed from oblique projectors represented by means of inner generalized inverses, by using an adequate equivalence relation, and then passing to the quotient set. We give characterizations and general expressions for 1MP and MP1-inverses. As applications, the binary relations induced for these new generalized inverses are proved to be partial orders. es_ES
dc.description.sponsorship M. V. Hernández and M. B. Lattanzi: Partially supported by Universidad Nacional de La Pampa, Facultad de Ingeniería (Grant Resol. Nro. 135/19). N. Thome: Partially supported by Universidad Nacional de La Pampa, Facultad de Ingeniería (Grant Resol. Nro. 135/19), by Ministerio de Economía y Competitividad of Spain (grant Red de Excelencia MTM2017-90682-REDT), by Universidad Nacional del Sur of Argentina (Grant PGI 24/L108), and by Universidad Nacional de Río Cuarto (Grant Res. Nro. 083/2020). 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 Generalized inverses es_ES
dc.subject Moore-Penrose inverse es_ES
dc.subject Matrix equations es_ES
dc.subject Partial order es_ES
dc.subject Equivalence classes es_ES
dc.subject.classification MATEMATICA APLICADA es_ES
dc.title From projectors to 1MP and MP1 generalized inverses and their induced partial orders es_ES
dc.type Artículo es_ES
dc.identifier.doi 10.1007/s13398-021-01090-8 es_ES
dc.relation.projectID info:eu-repo/grantAgreement/Universidad Nacional del Sur - Argentina//24%2FL108//VARIEDADES Y CUASIVARIEDADES EN ÁLGEBRA DE LA LÓGICA/ es_ES
dc.relation.projectID info:eu-repo/grantAgreement/Universidad Nacional de La Pampa//Resol. N.° 135%2F19 del CD de la Fac. de Ing.//Matrices Inversas Generalizadas y Órdenes Parciales/ es_ES
dc.relation.projectID info:eu-repo/grantAgreement/Universidad Nacional de Río Cuarto//Res. 083%2F2020//Aproximación de Funciones e Inversas Generalizadas/ es_ES
dc.relation.projectID info:eu-repo/grantAgreement/AEI//MTM2017-90682-REDT//RED TEMATICA DE ALGEBRA LINEAL, ANALISIS MATRICIAL 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 Hernández, MV.; Lattanzi, MB.; Thome, N. (2021). From projectors to 1MP and MP1 generalized inverses and their induced partial orders. Revista de la Real Academia de Ciencias Exactas Físicas y Naturales Serie A Matemáticas. 115(3):1-13. https://doi.org/10.1007/s13398-021-01090-8 es_ES
dc.description.accrualMethod S es_ES
dc.relation.publisherversion https://doi.org/10.1007/s13398-021-01090-8 es_ES
dc.description.upvformatpinicio 1 es_ES
dc.description.upvformatpfin 13 es_ES
dc.type.version info:eu-repo/semantics/publishedVersion es_ES
dc.description.volume 115 es_ES
dc.description.issue 3 es_ES
dc.relation.pasarela S\439911 es_ES
dc.contributor.funder AGENCIA ESTATAL DE INVESTIGACION es_ES
dc.contributor.funder Universidad Nacional de La Pampa es_ES
dc.contributor.funder Universidad Nacional de Río Cuarto es_ES
dc.contributor.funder Universidad Nacional del Sur - Argentina es_ES
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