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The weak core inverse

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The weak core inverse

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dc.contributor.author Ferreyra, D. E. es_ES
dc.contributor.author Levis, F. E. es_ES
dc.contributor.author Priori, A. N. es_ES
dc.contributor.author Thome, Néstor es_ES
dc.date.accessioned 2022-03-24T19:03:14Z
dc.date.available 2022-03-24T19:03:14Z
dc.date.issued 2021-04 es_ES
dc.identifier.issn 0001-9054 es_ES
dc.identifier.uri http://hdl.handle.net/10251/181542
dc.description.abstract [EN] In this paper, we introduce a new generalized inverse, called weak core inverse (or, in short, WC inverse) of a complex square matrix. This new inverse extends the notion of the core inverse defined by Baksalary and Trenkler (Linear Multilinear Algebra 58(6):681-697, 2010). We investigate characterizations, representations, and properties for this generalized inverse. In addition, we introduce weak core matrices (or, in short, WC matrices) and we show that these matrices form a more general class than that given by the known weak group matrices, recently investigated by H. Wang and X. Liu. es_ES
dc.description.sponsorship In what follows, we detail the acknowledgements. D.E. Ferreyra, F.E. Levis, A.N. Priori - Partially supported by Universidad Nacional de Rio Cuarto (Grant PPI 18/C559) and CONICET (Grant PIP 112-201501-00433CO). D.E. Ferreyra F.E. Levis - Partially supported by ANPCyT (Grant PICT 201803492). D.E. Ferreyra, N. Thome -Partially supported by Universidad Nacional de La Pampa, Facultad de Ingenieria (Grant Resol. Nro. 135/19). N. Thome -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). We would like to thank the Referees for their valuable comments and suggestions which helped us to considerably improve the presentation of the paper es_ES
dc.language Inglés es_ES
dc.publisher Springer-Verlag es_ES
dc.relation.ispartof Aequationes Mathematicae es_ES
dc.rights Reserva de todos los derechos es_ES
dc.subject Generalized inverses es_ES
dc.subject Core inverse es_ES
dc.subject Weak group inverse es_ES
dc.subject Core EP decomposition es_ES
dc.title The weak core inverse es_ES
dc.type Artículo es_ES
dc.identifier.doi 10.1007/s00010-020-00752-z es_ES
dc.relation.projectID info:eu-repo/grantAgreement/ANPCyT//PICT 201803492/ es_ES
dc.relation.projectID info:eu-repo/grantAgreement/UNRC//PPI 18%2FC559/ es_ES
dc.relation.projectID info:eu-repo/grantAgreement/CONICET//PIP 112-201501-00433CO/ 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/AEI//MTM2017-90682-REDT//RED TEMATICA DE ALGEBRA LINEAL, ANALISIS MATRICIAL Y APLICACIONES/ es_ES
dc.rights.accessRights Abierto es_ES
dc.description.bibliographicCitation Ferreyra, DE.; Levis, FE.; Priori, AN.; Thome, N. (2021). The weak core inverse. Aequationes Mathematicae. 95(2):351-373. https://doi.org/10.1007/s00010-020-00752-z es_ES
dc.description.accrualMethod S es_ES
dc.relation.publisherversion https://doi.org/10.1007/s00010-020-00752-z es_ES
dc.description.upvformatpinicio 351 es_ES
dc.description.upvformatpfin 373 es_ES
dc.type.version info:eu-repo/semantics/publishedVersion es_ES
dc.description.volume 95 es_ES
dc.description.issue 2 es_ES
dc.relation.pasarela S\416901 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
dc.contributor.funder Agencia Nacional de Promoción Científica y Tecnológica, Argentina es_ES
dc.contributor.funder Consejo Nacional de Investigaciones Científicas y Técnicas, Argentina es_ES
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