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Starting points for Newton’s method under a center Lipschitz condition for the second derivative

dc.contributor.authorEzquerro, J A
dc.contributor.authorHernández-Verón, M A
dc.contributor.authorMagreñán, Á. Alberto
dc.date2018-03
dc.date.accessioned2018-04-11T16:04:23Z
dc.date.available2018-04-11T16:04:23Z
dc.identifier.issn1879-1778
dc.identifier.urihttps://reunir.unir.net/handle/123456789/6365
dc.description.abstractWe analyze the semilocal convergence of Newton's method under a center Lipschitz condition for the second derivative of the operator involved different from that used by other authors until now. In particular, we propose to center the Lipschitz condition for the second derivative in a different point from that where Newton's method starts. This allows us to obtain different starting points for Newton's method and modify the domain of starting points. (C) 2016 Elsevier B.V. All rights reserved.es_ES
dc.language.isoenges_ES
dc.publisherJournal of Computational and Applied Mathematicses_ES
dc.relation.ispartofseries;vol. 330
dc.relation.urihttps://www.sciencedirect.com/science/article/pii/S0377042716306239es_ES
dc.rightsrestrictedAccesses_ES
dc.subjectNewton’s methodes_ES
dc.subjectsemilocal convergencees_ES
dc.subjectmajorizing sequencees_ES
dc.subjecterror estimateses_ES
dc.subjectregion of accessibilityes_ES
dc.subjectintegral equationes_ES
dc.subjectJCRes_ES
dc.subjectScopuses_ES
dc.titleStarting points for Newton’s method under a center Lipschitz condition for the second derivativees_ES
dc.typeArticulo Revista Indexadaes_ES
reunir.tag~ARIes_ES
dc.identifier.doihttps://doi.org/10.1016/j.cam.2016.12.013


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