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dc.contributor.authorMagreñán, Á. Alberto
dc.date2014-12
dc.date.accessioned2017-10-03T15:00:43Z
dc.date.available2017-10-03T15:00:43Z
dc.identifier.issn1873-5649
dc.identifier.urihttps://reunir.unir.net/handle/123456789/5615
dc.description.abstractIn this paper, the author presents a graphical tool that allows to study the real dynamics of iterative methods whose iterations depends on one parameter in an easy and compact way. This tool gives the information as previous tools such as Feigenbaum diagrams and Lyapunov exponents for every initial point. The convergence plane can be used, inter alia, to find the elements of a family that have good convergence properties, to see how the basins of attraction changes along the elements of the family, to study two-point methods such as Secant method or even to study two-parameter families of iterative methods. To show the applicability of the tool an example of the dynamics of the Damped Newton's method applied to a cubic polynomial is presented in this paper. (C) 2014 Elsevier Inc. All rights reserved.es_ES
dc.language.isoenges_ES
dc.publisherApplied Mathematics and Computationes_ES
dc.relation.ispartofseries;vol. 248
dc.relation.urihttp://www.sciencedirect.com/science/article/pii/S0096300314012867?via%3Dihubes_ES
dc.rightsrestrictedAccesses_ES
dc.subjectreal dynamicses_ES
dc.subjectnonlinear equationses_ES
dc.subjectgraphical tooles_ES
dc.subjectiterative methodses_ES
dc.subjectbasins of attractiones_ES
dc.subjectJCRes_ES
dc.subjectScopuses_ES
dc.titleA new tool to study real dynamics: The convergence planees_ES
dc.typeArticulo Revista Indexadaes_ES
reunir.tag~ARIes_ES
dc.identifier.doihttp://dx.doi.org/10.1016/j.amc.2014.09.061


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