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    Real qualitative behavior of a fourth-order family of iterative methods by using the convergence plane

    Autor: 
    Magreñán, Á. Alberto (1)
    ;
    Cordero, Alicia
    ;
    Gutiérrez, José M
    ;
    Torregrosa, Juan Ramón
    Fecha: 
    11/2014
    Palabra clave: 
    real dynamics; nonlinear problems; convergence plane; basins of attraction; stability; JCR; Scopus
    Tipo de Ítem: 
    Articulo Revista Indexada
    URI: 
    https://reunir.unir.net/handle/123456789/5612
    DOI: 
    http://dx.doi.org/10.1016/j.matcom.2014.04.006
    Dirección web: 
    http://www.sciencedirect.com/science/article/pii/S0378475414001086?via%3Dihub
    Resumen:
    The real dynamics of a family of fourth-order iterative methods is studied when it is applied on quadratic polynomials. A Scaling Theorem is obtained and the conjugacy classes are analyzed. The convergence plane is used to obtain the same kind of information as from the parameter space, and even more, in complex dynamics. (C) 2014 IMACS. Published by Elsevier B.V. All rights reserved.
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