How to improve the domain of parameters for Newton's method
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Universidad de La Rioja
info
ISSN: 0893-9659
Year of publication: 2015
Volume: 48
Pages: 91-101
Type: Article
More publications in: Applied Mathematics Letters
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Abstract
We study the influence of a center Lipschitz condition for the first derivative of the operator involved when the solution of a nonlinear equation is approximated by Newton's method in Banach spaces. As a consequence, we see that the domain of parameters associated to the Newton-Kantorovich theorem is enlarged. © 2015 Elsevier Ltd.