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    Newton’s method for k-Fréchet differentiable operators

    Autor: 
    Argyros, Ioannis K
    ;
    Magreñán, Á. Alberto
    Fecha: 
    2017
    Palabra clave: 
    computer science; mathematics & statistics; Scopus(2); WOS(2)
    Revista / editorial: 
    Iterative Methods and Their Dynamics with Applications: A Contemporary Study
    Tipo de Ítem: 
    bookPart
    URI: 
    https://reunir.unir.net/handle/123456789/10499
    DOI: 
    https://doi.org/10.1201/9781315153469
    Dirección web: 
    https://www.taylorfrancis.com/books/e/9781315153469
    Resumen:
    We determine a solution x of the equation F(x) = 0. where X and Y are Banach spaces, D ⊆ X a convex set and F : D → Y is a Fréchet-differentiable operator. In particular, we expand the applicability of the Newton’s method defined by xn + 1 = xn −[F′(xn)]−1F(xn), for each n = 0,1,2, …, (2.1) by considering weaker sufficient convergence criteria than in earlier studies [13]. We will denote along the chapter.
    Descripción: 
    Capítulo del libro "Iterative Methods and Their Dynamics with Applications"
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