Starting points for Newton's method under a center Lipschitz condition for the second derivative
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1
Universidad de La Rioja
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2
Universidad Internacional de La Rioja
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ISSN: 0377-0427
Year of publication: 2018
Volume: 330
Issue: 1
Pages: 721-731
Type: Article
More publications in: Journal of Computational and Applied Mathematics
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Abstract
We analyze the semilocal convergence of Newton's method under a center Lipschitz condition for the second derivative of the operator involved different from that used by other authors until now. In particular, we propose to center the Lipschitz condition for the second derivative in a different point from that where Newton's method starts. This allows us to obtain different starting points for Newton's method and modify the domain of starting points. © 2016 Elsevier B.V.