Stability of King’s family of iterative methods with memory
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Altres documents de l'autoria: Campos, Beatriz; Cordero Barbero, Alicia; Torregrosa, Juan R.; Vindel, Pura
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Stability of King’s family of iterative methods with memoryData de publicació
2017-07Editor
ElsevierCita bibliogràfica
CAMPOS, Beatriz, et al. Stability of King’s family of iterative methods with memory. Journal of Computational and Applied Mathematics, 2016.Tipus de document
info:eu-repo/semantics/articleVersió de l'editorial
http://www.sciencedirect.com/science/article/pii/S0377042716300140Versió
info:eu-repo/semantics/sumittedVersionParaules clau / Matèries
Resum
In 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 ... [+]
In 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. [-]
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Journal of Computational and Applied Mathematics Volume 318, July 2017Drets d'accés
© 2016 Elsevier B.V. All rights reserved.
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info:eu-repo/semantics/openAccess
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info:eu-repo/semantics/openAccess
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