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Some additive results on Drazin inverse

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Some additive results on Drazin inverse

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dc.contributor.author Liu, X.J. es_ES
dc.contributor.author Qin, X.L. es_ES
dc.contributor.author Benítez López, Julio es_ES
dc.date.accessioned 2016-05-23T08:36:29Z
dc.date.available 2016-05-23T08:36:29Z
dc.date.issued 2015-12
dc.identifier.issn 1005-1031
dc.identifier.uri http://hdl.handle.net/10251/64564
dc.description.abstract In this paper, we investigate additive results of the Drazin inverse of elements in a ring R. Under the condition ab = ba, we show that a + b is Drazin invertible if and only if aa^D(a+b) is Drazin invertible, where the superscript D means the Drazin inverse. Furthermore we find an expression of (a + b)^D. As an application we give some new representations for the Drazin inverse of a 2 × 2 block matrix. es_ES
dc.description.sponsorship Supported by the National Natural Science Foundation of China (11361009), the Guangxi Provincial Natural Science Foundation of China (2013GXNSFAA019008), and Science Research Project 2013 of the China-ASEAN Study Center (Guangxi Science Experiment Center) of Guangxi University for Nationalities. en_EN
dc.language Inglés es_ES
dc.publisher Springer Verlag (Germany) es_ES
dc.relation.ispartof Applied Mathematics - A Journal of Chinese Universities es_ES
dc.rights Reserva de todos los derechos es_ES
dc.subject Drazin inverse es_ES
dc.subject Ring es_ES
dc.subject Block matrix es_ES
dc.subject.classification MATEMATICA APLICADA es_ES
dc.title Some additive results on Drazin inverse es_ES
dc.type Artículo es_ES
dc.identifier.doi 10.1007/s11766-015-3333-4
dc.relation.projectID info:eu-repo/grantAgreement/NSFC//11361009/ es_ES
dc.relation.projectID info:eu-repo/grantAgreement/GXNSF//2013GXNSFAA019008/ 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 Liu, X.; Qin, X.; Benítez López, J. (2015). Some additive results on Drazin inverse. Applied Mathematics - A Journal of Chinese Universities. 30(4):479-490. https://doi.org/10.1007/s11766-015-3333-4 es_ES
dc.description.accrualMethod S es_ES
dc.relation.publisherversion http://dx.doi.org/10.1007/s11766-015-3333-4 es_ES
dc.description.upvformatpinicio 479 es_ES
dc.description.upvformatpfin 490 es_ES
dc.type.version info:eu-repo/semantics/publishedVersion es_ES
dc.description.volume 30 es_ES
dc.description.issue 4 es_ES
dc.relation.senia 298355 es_ES
dc.contributor.funder Guangxi Natural Science Fundation, China es_ES
dc.contributor.funder National Natural Science Foundation of China es_ES
dc.contributor.funder Guangxi University for Nationalities, China es_ES
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