Accessibility of Solutions by Newton's Method
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Universidad de La Rioja
info
ISSN: 0020-7160
Year of publication: 1995
Volume: 57
Issue: 3-4
Pages: 239-247
Type: Article
More publications in: International Journal of Computer Mathematics
Abstract
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