Solving a nonlinear equation by a uniparametric family of iterative methods
-
1
Universidad de La Rioja
info
ISSN: 0020-7160
Year of publication: 1998
Volume: 68
Issue: 3
Pages: 301-308
Type: Article
More publications in: International Journal of Computer Mathematics
Abstract
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.