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dc.contributor.authorArgyros, Ioannis K
dc.contributor.authorMagreñán, Á. Alberto (1)
dc.date2015-09
dc.date.accessioned2017-10-09T14:37:38Z
dc.date.available2017-10-09T14:37:38Z
dc.identifier.issn1873-5649
dc.identifier.urihttps://reunir.unir.net/handle/123456789/5690
dc.description.abstractWe present a new semilocal convergence analysis for Secant method in order to approximate a locally unique solution of a nonlinear equation in a Banach space setting. Our analysis includes the computation of the bounds on the limit points of the majorizing sequences involved. Under the same computational cost on the parameters involved our convergence criteria are weaker and the error bounds more precise than in earlier studies such as (Amat and Busquier, 2003; Amat et al., in press; Argyros and Hilout, 2012; Argyros et al., 2014; Argyros and Magrenan, 2014, 2015; Dennis, 1971; Ezquerro et al., 2000; Ortega and Rheinboldt, 1970; Potra and Ptak, 1984; Schmidt, 1978). Numerical examples are also presented to illustrate the theoretical results obtained in this study. (C) 2015 Elsevier Inc. All rights reserved.es_ES
dc.language.isoenges_ES
dc.publisherApplied Mathematics and Computationes_ES
dc.relation.ispartofseries;vol. 266
dc.relation.urihttp://www.sciencedirect.com/science/article/pii/S0096300315008188?via%3Dihubes_ES
dc.rightsrestrictedAccesses_ES
dc.subjectsecant methodes_ES
dc.subjectbanach spacees_ES
dc.subjectmajorizing sequencees_ES
dc.subjectdivided differencees_ES
dc.subjectlocal convergencees_ES
dc.subjectsemilocal convergencees_ES
dc.subjectJCRes_ES
dc.subjectScopuses_ES
dc.titleExpanding the applicability of the Secant method under weaker conditionses_ES
dc.typeArticulo Revista Indexadaes_ES
reunir.tag~ARIes_ES
dc.identifier.doihttp://dx.doi.org/10.1016/j.amc.2015.06.037


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