Accessibility of Solutions by Newton's Method
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Universidad de La Rioja
info
ISSN: 0020-7160
Ano de publicación: 1995
Volume: 57
Número: 3-4
Páxinas: 239-247
Tipo: Artigo
Outras publicacións en: International Journal of Computer Mathematics
Resumo
We give new conditions for the convergence of Newton's method in Banach spaces, in terms of the degree of logarithmic convexity. These conditions guarantee the convergence of Newton sequence in cases where the hypothesis of Kantorovich theorem are not verified, as we show in some examples