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On 2MP-, MP2- and C2MP-inverses for rectangular matrices

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On 2MP-, MP2- and C2MP-inverses for rectangular matrices

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dc.contributor.author Hernández, M. V. es_ES
dc.contributor.author Lattanzi, Marina B. es_ES
dc.contributor.author Thome, Néstor es_ES
dc.date.accessioned 2023-03-01T19:02:17Z
dc.date.available 2023-03-01T19:02:17Z
dc.date.issued 2022-10 es_ES
dc.identifier.issn 1578-7303 es_ES
dc.identifier.uri http://hdl.handle.net/10251/192212
dc.description.abstract [EN] This paper introduces 2MP-inverses, MP2-inverses, and C2MP-inverses, for rectangular matrices following a different approach to that used in the recent literature. These new inverses generalize some classical inverses in the literature. Instead of considering a system of matrix equations as usually, in order to define 2MP-inverses and MP2-inverses, we consider a construction from oblique projectors represented by means of outer generalized inverses. We use an adequate equivalence relation, and then we pass to the quotient set in order to get the most simple canonical representative. An interesting advantage of our extension of CMP inverses from square to rectangular matrices is that we do not need any auxiliary weight matrix, but we are using the own matrix A for doing it. In addition, some properties and representations of 2MP-, MP2-, and C2MP-inverses are given. es_ES
dc.description.sponsorship Open Access funding provided thanks to the CRUE-CSIC agreement with Springer Nature 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 Outer inverse es_ES
dc.subject Moore-Penrose inverse es_ES
dc.subject Matrix equation es_ES
dc.subject Partial order es_ES
dc.subject Quotient set es_ES
dc.subject.classification MATEMATICA APLICADA es_ES
dc.title On 2MP-, MP2- and C2MP-inverses for rectangular matrices es_ES
dc.type Artículo es_ES
dc.identifier.doi 10.1007/s13398-022-01289-3 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/AEI//MTM2017-90682-REDT//RED TEMATICA DE ALGEBRA LINEAL, ANALISIS MATRICIAL Y APLICACIONES/ 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.rights.accessRights Abierto es_ES
dc.contributor.affiliation Universitat Politècnica de València. Escuela Técnica Superior de Ingenieros de Telecomunicación - Escola Tècnica Superior d'Enginyers de Telecomunicació es_ES
dc.description.bibliographicCitation Hernández, MV.; Lattanzi, MB.; Thome, N. (2022). On 2MP-, MP2- and C2MP-inverses for rectangular matrices. Revista de la Real Academia de Ciencias Exactas Físicas y Naturales Serie A Matemáticas. 116(4):1-12. https://doi.org/10.1007/s13398-022-01289-3 es_ES
dc.description.accrualMethod S es_ES
dc.relation.publisherversion https://doi.org/10.1007/s13398-022-01289-3 es_ES
dc.description.upvformatpinicio 1 es_ES
dc.description.upvformatpfin 12 es_ES
dc.type.version info:eu-repo/semantics/publishedVersion es_ES
dc.description.volume 116 es_ES
dc.description.issue 4 es_ES
dc.relation.pasarela S\467033 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 Universitat Politècnica de València es_ES
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