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    On the choice of the best members of the Kim family and the improvement of its convergence

    Autor: 
    Chicharro, Francisco Israel
    ;
    Cordero, Alicia
    ;
    Garrido, Neus
    ;
    Torregrosa, Juan Ramón
    Fecha: 
    30/09/2020
    Palabra clave: 
    basin of attraction; iterative methods with memory; low-dimensional dynamical systems; nonlinear algebraic or transcendental equations; parameter plane; stability; Scopus(2); JCR
    Revista / editorial: 
    Mathematical Methods in the Applied Sciences
    Tipo de Ítem: 
    conferenceObject
    URI: 
    https://reunir.unir.net/handle/123456789/10648
    DOI: 
    https://doi.org/10.1002/mma.6014
    Dirección web: 
    https://onlinelibrary.wiley.com/doi/abs/10.1002/mma.6014
    Resumen:
    The best members of the Kim family, in terms of stability, are obtained by using complex dynamics. From this elements, parametric iterative methods with memory are designed. A dynamical analysis of the methods with memory is presented in order to obtain information about the stability of them. Numerical experiments are shown for confirming the theoretical results.
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