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Solving an open problem about the G-Drazin partial order

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Solving an open problem about the G-Drazin partial order

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dc.contributor.author Ferreyra, D. E. es_ES
dc.contributor.author Lattanzi, M. es_ES
dc.contributor.author Levis, F. E. es_ES
dc.contributor.author Thome, Néstor es_ES
dc.date.accessioned 2021-02-19T04:34:36Z
dc.date.available 2021-02-19T04:34:36Z
dc.date.issued 2020-02 es_ES
dc.identifier.issn 1081-3810 es_ES
dc.identifier.uri http://hdl.handle.net/10251/161871
dc.description.abstract [EN] G-Drazin inverses and the G-Drazin partial order for square matrices have been both recently introduced by Wang and Liu. They proved the following implication: If A is below B under the G-Drazin partial order, then any G-Drazin inverse of B is also a G-Drazin inverse of A. However, this necessary condition could not be stated as a characterization and the validity (or not) of the converse implication was posed as an open problem. In this paper, this problem is completely solved. It is obtained that the converse, in general, is false, and a form to construct counterexamples is provided. It is also proved that the converse holds under an additional condition (which is also necessary) as well as for some special cases of matrices. es_ES
dc.description.sponsorship Partially supported by Universidad Nacional de Río Cuarto (Grant PPI 18/C472), CONICET (Grant PIP 112-201501-00433CO), and by ANPCyT (Grant PICT 2018-03492) Partially supported by Universidad Nacional de La Pampa, Facultad de Ingeniería (Grant Resol. Nro. 155/14) Partially supported by Ministerio de Economía, 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 University of Wyoming Libraries es_ES
dc.relation.ispartof The Electronic Journal of Linear Algebra es_ES
dc.rights Reserva de todos los derechos es_ES
dc.subject G-Drazin inverse es_ES
dc.subject Space pre-order es_ES
dc.subject Minus partial order es_ES
dc.subject G-Drazin partial order es_ES
dc.subject.classification MATEMATICA APLICADA es_ES
dc.title Solving an open problem about the G-Drazin partial order es_ES
dc.type Artículo es_ES
dc.relation.projectID info:eu-repo/grantAgreement/UNLPam//155%2F14/ es_ES
dc.relation.projectID info:eu-repo/grantAgreement/CONICET//PIP 11220150100433CO/ es_ES
dc.relation.projectID info:eu-repo/grantAgreement/UNRC//PPI 18%2FC472/ es_ES
dc.relation.projectID info:eu-repo/grantAgreement/UNS//24%2FL108/ es_ES
dc.relation.projectID info:eu-repo/grantAgreement/ANPCyT//PICT-2018-03492/AR/Matrices Inversas Generalizadas y Aplicaciones/ 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 Abierto es_ES
dc.contributor.affiliation Universitat Politècnica de València. Departamento de Matemática Aplicada - Departament de Matemàtica Aplicada es_ES
dc.description.bibliographicCitation Ferreyra, DE.; Lattanzi, M.; Levis, FE.; Thome, N. (2020). Solving an open problem about the G-Drazin partial order. The Electronic Journal of Linear Algebra. 36:55-66. http://hdl.handle.net/10251/161871 es_ES
dc.description.accrualMethod S es_ES
dc.relation.publisherversion https://journals.uwyo.edu/index.php/ela es_ES
dc.description.upvformatpinicio 55 es_ES
dc.description.upvformatpfin 66 es_ES
dc.type.version info:eu-repo/semantics/publishedVersion es_ES
dc.description.volume 36 es_ES
dc.relation.pasarela S\398239 es_ES
dc.contributor.funder Agencia Estatal de Investigación 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 Universidad Nacional de La Pampa, 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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