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    Improving the Dynamics of Steffensen-type Methods

    Autor: 
    Amat, Sergio
    Busquier, Sonia
    Magreñán, Á. Alberto (1)
    Fecha: 
    2015
    Palabra clave: 
    complex dynamics; nonlinear equations; iterative methods; basins of attraction; Scopus
    Tipo de Ítem: 
    Articulo Revista Indexada
    URI: 
    https://reunir.unir.net/handle/123456789/6246
    DOI: 
    http://dx.doi.org/10.12785/amis/090523
    Dirección web: 
    http://www.naturalspublishing.com/files/published/595nv565e5xda7.pdf
    Open Access
    Resumen:
    The dynamics of Steffesen-type methods, using a graphical tool for showing the basins of attraction, is presented. The study includes as particular cases, Steffesen-type modifications of the Newton, the two-steps, the Chebyshev, the Halley and the super– Halley iterative methods. The goal is to show that if we are interesting to preserve the convergence properties we must ensure that the derivatives are well approximated in all iterations.
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