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    Anomalies in the convergence of Traub‐type methods with memory

    Autor: 
    Chicharro, Francisco Israel
    Cordero, Alicia
    Garrido, Neus
    Torregrosa, Juan Ramón
    Fecha: 
    06/08/2019
    Palabra clave: 
    basin of attraction; fixed points; iterative process with memory; nonlinear equation
    Tipo de Ítem: 
    article
    URI: 
    https://reunir.unir.net/handle/123456789/9531
    DOI: 
    https://doi.org/10.1002/cmm4.1060
    Dirección web: 
    https://onlinelibrary.wiley.com/doi/full/10.1002/cmm4.1060
    Resumen:
    The stability analysis of a new family of iterative methods with memory isintroduced. This family, designed from Traub's method, allows to add memorythrough the introduction of an accelerating parameter. Hence, the speed of con-vergence of the iterative method increases up to 3.30, with no new functionalevaluations. A dynamical study of the proposed family on quadratic polynomialsis presented obtaining interesting qualitative properties.
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