Generalized Differentiability Conditions for Newton's Method.
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Universidad de La Rioja
info
ISSN: 0272-4979
Année de publication: 2002
Volumen: 22
Número: 2
Pages: 187-205
Type: Article
D'autres publications dans: IMA journal of numerical analysis
Résumé
The use of majorizing sequences is the usual way to prove the convergence of Newton's method. An alternative technique to majorizing sequences is provided in this paper, in which three scalar sequences are used, so that the analysis of convergence is simplified when the traditional convergence condition is relaxed. An application to a nonlinear integral equation is also given, which is also solved and the solution approximated by a discretization process.