On a convex acceleration of Newton's method
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Universidad de La Rioja
info
ISSN: 0022-3239
Ano de publicación: 1999
Volume: 106
Número: 1
Páxinas: 311-326
Tipo: Artigo
Outras publicacións en: Journal of Optimization Theory and Applications
Resumo
In this study, we use a convex acceleration of Newton's method (or super-Halley method) to approximate solutions of nonlinear equations. We provide sufficient convergence conditions for this method in three space settings: real line, complex plane, and Banach space. Several applications of our results are also provided.