Solving a nonlinear equation by a uniparametric family of iterative methods
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1
Universidad de La Rioja
info
ISSN: 0020-7160
Año de publicación: 1998
Volumen: 68
Número: 3
Páginas: 301-308
Tipo: Artículo
Otras publicaciones en: International Journal of Computer Mathematics
Resumen
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.