Stability of a fourth order bi-parametric family of iterative methods

摘要

In this paper we present a dynamical study of the Ostrowski–Chun family of iterative methods on quadratic polynomials. We will use dynamical tools such as the analysis of fixed and critical points, and the calculation of parameter planes, to find the most stable members of the family. These results have been checked on the unidimensional Bratu’s problem.