Indices of convexity and concavity. Application to Halley method.
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Universidad de La Rioja
info
ISSN: 0096-3003
Ano de publicación: 1999
Volume: 103
Número: 1
Páxinas: 27-49
Tipo: Artigo
Outras publicacións en: Applied Mathematics and Computation
Resumo
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.