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On the local convergence of a Newton-type method in Banach spaces under a gamma—type condition

dc.creatorArgyros, Ioannis K.
dc.creatorHilout, Saïd
dc.date2017-05-02
dc.date.accessioned2019-11-14T11:59:55Z
dc.date.available2019-11-14T11:59:55Z
dc.identifierhttps://www.revistaproyecciones.cl/article/view/1524
dc.identifier10.4067/S0716-09172008000100001
dc.identifier.urihttps://revistaschilenas.uchile.cl/handle/2250/113240
dc.descriptionWe provide a local convergence analysis for a Newton-type method to approximate a locally unique solution of an operator equation in Banach spaces. The local convergence of this method was studied in the elegant work by Werner in [11], using information on the domain of the operator. Here, we use information only at a point and a gamma-type condition [4], [10]. It turns out that our radius of convergence is larger, and more general than the corresponding one in [10]. More over the same can hold true when our radius is compared with the ones given in [9] and [11]. A numerical example is also provided.es-ES
dc.formatapplication/pdf
dc.languagespa
dc.publisherUniversidad Católica del Norte.es-ES
dc.relationhttps://www.revistaproyecciones.cl/article/view/1524/2028
dc.rightsDerechos de autor 2008 Proyecciones. Journal of Mathematicses-ES
dc.sourceProyecciones. Journal of Mathematics; Vol 27 No 1 (2008); 1-14en-US
dc.sourceProyecciones. Revista de Matemática; Vol. 27 Núm. 1 (2008); 1-14es-ES
dc.source0717-6279
dc.source0716-0917
dc.subjectBanach spacees-ES
dc.subjectNewton—type methodes-ES
dc.subjectlocal convergencees-ES
dc.subjectgamma—type conditiones-ES
dc.subjectFrechet—derivativees-ES
dc.subjectradius of convergencees-ES
dc.subjectespacio de Banaches-ES
dc.subjectmétodo tipo Newtones-ES
dc.subjectconvergencia locales-ES
dc.subjectcondiciones tipo gammaes-ES
dc.subjectderivada de Frechetes-ES
dc.subjectradio de convergencia.es-ES
dc.titleOn the local convergence of a Newton-type method in Banach spaces under a gamma—type conditiones-ES
dc.typeinfo:eu-repo/semantics/article
dc.typeinfo:eu-repo/semantics/publishedVersion
dc.typeArtículo revisado por pareses-ES


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