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    New improved convergence analysis for Newton-like methods with applications

    Autor: 
    Magreñán, Á. Alberto
    ;
    Argyros, Ioannis K
    ;
    Sicilia, Juan Antonio
    Fecha: 
    08/2017
    Palabra clave: 
    Newton-type method; banach space; majorizing sequence; restricted domains; local convergence; semilocal convergence; JCR; Scopus
    Revista / editorial: 
    Journal of Mathematical Chemistry
    Tipo de Ítem: 
    Articulo Revista Indexada
    URI: 
    https://reunir.unir.net/handle/123456789/5328
    DOI: 
    https://doi.org/10.1007/s10910-016-0727-3
    Dirección web: 
    https://link.springer.com/article/10.1007%2Fs10910-016-0727-3
    Resumen:
    We present a new semilocal convergence analysis for Newton-like methods using restricted convergence domains in a Banach space setting. The main goal of this study is to expand the applicability of these methods in cases not covered in earlier studies. The advantages of our approach include, under the same computational cost as previous studies, a more precise convergence analysis under the same computational cost on the Lipschitz constants involved. Numerical studies including a chemical application are also provided in this study.
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