Accessibility of Solutions by Newton's Method
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1
Universidad de La Rioja
info
ISSN: 0020-7160
Argitalpen urtea: 1995
Alea: 57
Zenbakia: 3-4
Orrialdeak: 239-247
Mota: Artikulua
Beste argitalpen batzuk: International Journal of Computer Mathematics
Laburpena
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