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    Ball convergence for eighth order method

    Autor: 
    Argyros, Ioannis K
    ;
    Magreñán, Á. Alberto
    Fecha: 
    2017
    Palabra clave: 
    computer science; mathematics & statistics; Scopus(2); WOS(2)
    Tipo de Ítem: 
    bookPart
    URI: 
    https://reunir.unir.net/handle/123456789/10501
    DOI: 
    https://doi.org/10.1201/9781315153469
    Dirección web: 
    https://www.taylorfrancis.com/books/e/9781315153469
    Resumen:
    Consider the problem of approximating a locally unique solution x of the nonlinear equation F(x) = 0, (21.1) where F is a Fréchet-differentiable operator defined on a convex subset D of a Banach space X with values in a Banach space Y. The equation (21.1) covers wide range of problems in classical analysis and applications [1-30]. Closed form solutions of these nonlinear equations exist only for few special cases which may not be of much practical value. Therefore solutions of these nonlinear equations (21.1) are approximated by iterative methods.
    Descripción: 
    Capítulo del libro "Iterative Methods and Their Dynamics with Applications"
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