Indices of convexity and concavity. Application to Halley method.
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Universidad de La Rioja
info
ISSN: 0096-3003
Year of publication: 1999
Volume: 103
Issue: 1
Pages: 27-49
Type: Article
More publications in: Applied Mathematics and Computation
Abstract
We define an index to measure the convexity of a convex function f at each point. We use this index to establish conditions on the convergence of the Halley method in the complex plane and in Banach spaces.