Center conditions on high order derivatives in the semilocal convergence of Newton's method
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Universidad de La Rioja
info
ISSN: 0885-064X
Année de publication: 2015
Volumen: 31
Número: 2
Pages: 277-292
Type: Article
D'autres publications dans: Journal of Complexity
Projets liés
Résumé
We modify the classical theory of Kantorovich to analyze the semilocal convergence of Newton's method in Banach spaces under center conditions for high order derivatives. As a consequence, we obtain a modification of the domain of the starting points for Newton's method. This analysis is illustrated with an application to a boundary value problem. © 2014 Elsevier Inc. All rights reserved.