A generalization of the Kantorovich type assumptions for Halley's method
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Universidad de La Rioja
info
ISSN: 0020-7160
Ano de publicación: 2007
Volume: 84
Número: 12
Páxinas: 1771-1779
Tipo: Artigo
Outras publicacións en: International Journal of Computer Mathematics
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Resumo
For the Halley method, we generalize the usual Kantorovich type assumptions, from which an iterative process of R-order three is convergent, so that the corresponding convergence analysis can be applied to a larger number of equations. We present an example consisting of a nonlinear integral equation where the method is applied.