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dc.contributor.authorMagreñán, Á. Alberto (1)
dc.contributor.authorArgyros, Ioannis K
dc.date2014-09
dc.date.accessioned2017-09-28T21:00:19Z
dc.date.available2017-09-28T21:00:19Z
dc.identifier.issn1873-5649
dc.identifier.urihttps://reunir.unir.net/handle/123456789/5608
dc.description.abstractWe present a new sufficient semilocal convergence conditions for Newton-like methods in order to approximate a locally unique solution of an equation in a Banach space setting. This way, we expand the applicability of these methods in cases not covered in other studies such as Dennis (1971) [12], Ezquerro et al. (2000, 2010) [13,14], Kornstaedt (1975) [18], Potra and Ptak (1984) [24], Potra (1985, 1979, 1982, 1981, 1984) [23,25,26,27,28], Proinov (2010) [29], Schmidt (1978) [31] or Yamamoto (1987) [32]. The advantages of our approach also include a tighter convergence analysis under the same computational cost. Applications, where the older convergence criteria are not satisfied but the new convergence criteria are satisfied are also given in this study. (C) 2014 Elsevier Inc. All rights reserved.es_ES
dc.language.isoenges_ES
dc.publisherApplied Mathematics and Computationes_ES
dc.relation.ispartofseries;vol. 242
dc.relation.urihttp://www.sciencedirect.com/science/article/pii/S0096300314007656?via%3Dihubes_ES
dc.rightsrestrictedAccesses_ES
dc.subjectNewton-like methodes_ES
dc.subjectbanach spacees_ES
dc.subjectsemilocal convergencees_ES
dc.subjectmajorizing sequencees_ES
dc.subjectdivided differencees_ES
dc.subjectFrechet derivativees_ES
dc.subjectJCRes_ES
dc.subjectScopuses_ES
dc.titleOptimizing the applicability of a theorem by F. Potra for Newton-like methodses_ES
dc.typeArticulo Revista Indexadaes_ES
reunir.tag~ARIes_ES
dc.identifier.doihttp://dx.doi.org/10.1016/j.amc.2014.05.078


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