On the accessibility of Newton's method under a Hölder condition on the first derivative
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Universidad de La Rioja
info
ISSN: 1999-4893
Year of publication: 2015
Volume: 8
Issue: 3
Pages: 514-528
Type: Article
More publications in: Algorithms
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Abstract
We see how we can improve the accessibility of Newton's method for approximating a solution of a nonlinear equation in Banach spaces when a center Hölder condition on the first derivative is used to prove its semi-local convergence. © 2015 by the authors.