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    On the convergence of an optimal fourth-order family of methods and its dynamics

    Autor: 
    Argyros, Ioannis K
    ;
    Magreñán, Á. Alberto
    Fecha: 
    02/2015
    Palabra clave: 
    banach space; majorizing sequence; local/semilocal convergence; complex dynamics; JCR; Scopus
    Revista / editorial: 
    Applied Mathematics and Computation
    Citación: 
    Argyros, I. .K & Magreñán, A. .A. (2015). On the convergence of an optimal fourth-order family of methods and its dynamics. Applied Mathematics and Computation, 252(1), 336-346.
    Tipo de Ítem: 
    Articulo Revista Indexada
    URI: 
    https://reunir.unir.net/handle/123456789/4790
    DOI: 
    https://doi.org/10.1016/j.amc.2014.11.074
    Dirección web: 
    http://www.sciencedirect.com/science/article/pii/S0096300314016063
    Resumen:
    In this paper, we present the study of the semilocal and local convergence of an optimal fourth-order family of methods. Moreover, the dynamical behavior of this family of iterative methods applied to quadratic polynomials is studied. Some anomalies are found in this family be means of studying the dynamical behavior. Parameter spaces are shown and the study of the stability of all the fixed points is presented.
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