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dc.contributor.authorChicharro, Francisco Israel
dc.contributor.authorCordero, Alicia
dc.contributor.authorGarrido, Neus
dc.contributor.authorTorregrosa, Juan Ramón
dc.date2019-05-06
dc.date.accessioned2019-05-23T07:25:23Z
dc.date.available2019-05-23T07:25:23Z
dc.identifier.issn2075-1680
dc.identifier.urihttps://reunir.unir.net/handle/123456789/8282
dc.description.abstractIn this paper, a simple family of one-point iterative schemes for approximating the solutions of nonlinear equations, by using the procedure of weight functions, is derived. The convergence analysis is presented, showing the sufficient conditions for the weight function. Many known schemes are members of this family for particular choices of the weight function. The dynamical behavior of one of these choices is presented, analyzing the stability of the fixed points and the critical points of the rational function obtained when the iterative expression is applied on low degree polynomials. Several numerical tests are given to compare different elements of the proposed family on non-polynomial problems.es_ES
dc.language.isoen_USes_ES
dc.publisherAxiomses_ES
dc.relation.ispartofseries;vol. 8, nº 2
dc.relation.urihttps://www.mdpi.com/2075-1680/8/2/55es_ES
dc.rightsopenAccesses_ES
dc.subjectnonlinear equationses_ES
dc.subjectiterative methodes_ES
dc.subjectconvergencees_ES
dc.subjectbasin of attractiones_ES
dc.subjectstabilityes_ES
dc.subjectScopuses_ES
dc.subjectEmerginges_ES
dc.titleGenerating Root-Finder Iterative Methods of Second Order: Convergence and Stabilityes_ES
dc.typearticlees_ES
reunir.tag~PCIes_ES
dc.identifier.doihttps://doi.org/10.3390/axioms8020055


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