Modification of the Kantorovich assumptions for semilocal convergence of the Chebyshev method.
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Universidad de La Rioja
info
ISSN: 0377-0427
Année de publication: 2000
Volumen: 126
Número: 1-2
Pages: 131-143
Type: Article
D'autres publications dans: Journal of Computational and Applied Mathematics
Résumé
This study obtains two semilocal convergence results for the well-known Chebyshev method, which is a third-order iterative process. The hypotheses required are modifications to the normal Kantorovich ones. The results obtained are applied to the reduction of nonlinear integral equations of the Fredholm type and first kind.