Solving a nonlinear equation by a uniparametric family of iterative methods
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Universidad de La Rioja
info
ISSN: 0020-7160
Ano de publicación: 1998
Volume: 68
Número: 3
Páxinas: 301-308
Tipo: Artigo
Outras publicacións en: International Journal of Computer Mathematics
Resumo
In this study, we introduce a family of third-order iterative methods, cited in [4], for solving a nonlinear equation f(x) = 0. First we provide a convergence analysis for a real function depending of one real parameter α∈c R. Next it is proved that we can always apply a method of this family to solve f(x) = 0.