Modification of the Kantorovich assumptions for semilocal convergence of the Chebyshev method.
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Universidad de La Rioja
info
ISSN: 0377-0427
Any de publicació: 2000
Volum: 126
Número: 1-2
Pàgines: 131-143
Tipus: Article
Altres publicacions en: Journal of Computational and Applied Mathematics
Resum
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.