Show simple item record

dc.contributor.authorSendra Pons, Juan Rafael 
dc.contributor.authorSendra Pons, Juana 
dc.date.accessioned2020-11-17T13:39:51Z
dc.date.available2020-11-17T13:39:51Z
dc.date.issued2017-11-15
dc.identifier.bibliographicCitationSendra, J.R. & Sendra, J. 2017, “Computation of Moore-Penrose generalized inverses of matrices with meromorphic function entries”, Applied Mathematics and Computation, vol. 313, pp. 355-366
dc.identifier.issn0096-3003
dc.identifier.urihttp://hdl.handle.net/10017/45128
dc.descriptionJ.R. Sendra is member of the Research Group ASYNACS (Ref.CT-CE2019/683)en
dc.description.abstractIn this paper, given a field with an involutory automorphism, we introduce the notion of Moore-Penrose field by requiring that all matrices over the field have Moore-Penrose inverse. We prove that only characteristic zero fields can be Moore-Penrose, and that the field of rational functions over a Moore-Penrose field is also Moore-Penrose. In addition, for a matrix with rational functions entries with coefficients in a field K, we find sufficient conditions for the elements in K to ensure that the specialization of the Moore-Penrose inverse is the Moore-Penrose inverse of the specialization of the matrix. As a consequence, we provide a symbolic algorithm that, given a matrix whose entries are rational expression over C of finitely many meromeorphic functions being invariant by the involutory automorphism, computes its Moore-Penrose inverve by replacing the functions by new variables, and hence reducing the problem to the case of matrices with complex rational function entries.en
dc.description.sponsorshipMinisterio de Economía y Competitividades_ES
dc.format.mimetypeapplication/pdfen
dc.language.isoengen
dc.publisherElsevier
dc.rightsAttribution-NonCommercial-NoDerivatives 4.0 International (CC BY-NC-ND 4.0)*
dc.rights© 2017 Elsevier
dc.rights.urihttp://creativecommons.org/licenses/by-nc-nd/4.0/*
dc.subjectGeneralized inversesen
dc.subjectMoore-Penrose fieldsen
dc.subjectMeromorphic functionsen
dc.subjectMatrices of functionsen
dc.titleComputation of Moore-Penrose generalized inverses of matrices with meromorphic function entriesen
dc.typeinfo:eu-repo/semantics/articleen
dc.subject.ecienciaMatemáticases_ES
dc.subject.ecienciaMathematicsen
dc.contributor.affiliationUniversidad de Alcalá. Departamento de Física y Matemáticas. Unidad docente Matemáticases_ES
dc.date.updated2020-11-17T13:37:40Z
dc.relation.publisherversionhttps://doi.org/10.1016/j.amc.2017.06.007
dc.type.versioninfo:eu-repo/semantics/acceptedVersionen
dc.identifier.doi10.1016/j.amc.2017.06.007
dc.relation.projectIDinfo:eu-repo/grantAgreement/MINECO//MTM2014-54141-P/ES/CONSTRUCCIONES ALGEBRO-GEOMETRICAS: FUNDAMENTOS, ALGORITMOS Y APLICACIONES/en
dc.rights.accessRightsinfo:eu-repo/semantics/openAccessen
dc.identifier.uxxiAR/0000027854
dc.identifier.publicationtitleApplied Mathematics and Computation (New York)
dc.identifier.publicationvolume313
dc.identifier.publicationlastpage366
dc.identifier.publicationfirstpage355


Files in this item

Thumbnail

This item appears in the following Collection(s)

Attribution-NonCommercial-NoDerivatives 4.0 International (CC BY-NC-ND 4.0)
Este ítem está sujeto a una licencia Creative Commons.