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    On the improvement of the order of convergence of iterative methods for solving nonlinear systems by means of memory

    Autor: 
    Chicharro, Francisco Israel (1)
    ;
    Cordero, Alicia
    ;
    Garrido, Neus (1)
    ;
    Torregrosa, Juan Ramón
    Fecha: 
    06/2020
    Palabra clave: 
    nonlinear systems; iterative methods; divided difference operator; kurchatov divided difference; Scopus; JCR
    Tipo de Ítem: 
    Articulo Revista Indexada
    URI: 
    https://reunir.unir.net/handle/123456789/10371
    DOI: 
    https://doi.org/10.1016/j.aml.2020.106277
    Dirección web: 
    https://www.sciencedirect.com/science/article/abs/pii/S0893965920300707?via%3Dihub
    Resumen:
    Iterative methods with memory for solving nonlinear systems have been designed. For approximating the accelerating parameters the Kurchatov's divided difference is used as an approximation of the derivative of second order. The convergence of the proposed schemes is analyzed by means of Taylor expansions. Numerical examples are shown to compare the performance of the proposed schemes with other known ones, confirming the theoretical results.
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