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dc.contributor.authorCampos Sancho, Beatriz
dc.contributor.authorCordero Barbero, Alicia
dc.contributor.authorTorregrosa, Juan R.
dc.contributor.authorVindel Cañas, María Purificación
dc.identifier.citationCAMPOS, Beatriz, et al. Stability of King’s family of iterative methods with memory. Journal of Computational and Applied Mathematics, 2016.ca_CA
dc.description.abstractIn the literature exist many iterative methods with memory for solving nonlinear equations, the most of them designed in the last years. As they use the information of (at least) the two previous iterates to generate the new one, usual techniques of complex dynamics are not useful in this case. In this paper, we present some real multidimensional dynamical tools to undertake this task, applied on a very well-known family of iterative schemes; King’s class. It is showed that the most of elements of this class present a very stable behavior, visualized in different dynamical planes. However, pathological cases as attracting strange fixed points or periodic orbits can also be found.ca_CA
dc.description.sponsorShipThe authors thank to the anonymous referees for their valuable comments and for the suggestions to improve the final version of the paper.ca_CA
dc.format.extent10 p.ca_CA
dc.relation.isPartOfJournal of Computational and Applied Mathematics Volume 318, July 2017ca_CA
dc.rights© 2016 Elsevier B.V. All rights reserved.ca_CA
dc.subjectNonlinear equationsca_CA
dc.subjectIterative method with memoryca_CA
dc.subjectBasin of attractionca_CA
dc.subjectDynamical planeca_CA
dc.titleStability of King’s family of iterative methods with memoryca_CA

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