Semilocal Convergence of the Secant Method under Mild Convergence Conditions of Differentiability
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Universidad de La Rioja
info
ISSN: 0898-1221
Ano de publicación: 2002
Volume: 44
Número: 3-4
Páxinas: 277-285
Tipo: Artigo
Outras publicacións en: Computers & Mathematics with Applications
Resumo
In this work, we obtain a semilocal convergence result for the secant method in Banach spaces under mild convergence conditions. We consider a condition for divided differences which generalizes those usual ones, i.e., Lipschitz continuous and Hölder continuous conditions. Also, we obtain a result for uniqueness of solutions. © 2002 Elsevier Science Ltd. All rights reserved.