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    Expanding the Applicability of a Third Order Newton-Type Method Free of Bilinear Operators

    Autor: 
    Amat, Sergio
    ;
    Busquier, Sonia
    ;
    Bermúdez, Concepción
    ;
    Magreñán, Á. Alberto (1)
    Fecha: 
    09/2015
    Palabra clave: 
    Newton type methods; third order; semilocal convergence; centered hypotheses; divided differences; Emerging; Scopus
    Tipo de Ítem: 
    Articulo Revista Indexada
    URI: 
    https://reunir.unir.net/handle/123456789/5696
    DOI: 
    http://dx.doi.org/10.3390/a8030669
    Dirección web: 
    http://www.mdpi.com/1999-4893/8/3/669
    Open Access
    Resumen:
    This paper is devoted to the semilocal convergence, using centered hypotheses, of a third order Newton-type method in a Banach space setting. The method is free of bilinear operators and then interesting for the solution of systems of equations. Without imposing any type of Frechet differentiability on the operator, a variant using divided differences is also analyzed. A variant of the method using only divided differences is also presented.
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