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

[EN] 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. (C) 2016 Elsevier B.V. All rights reserved.This research was supported by Ministerio de Economía y Competitividad MTM2014-52016-C02-02 and FONDOCYT 2014-1C1-088 República DominicanaCordero Barbero, A.; García-Maimo, J.; Torregrosa Sánchez, JR.; Vassileva, MP. (2017). Stability of a fourth-order bi-parametric family of iterative methods. Journal of Computational and Applied Mathematics. 312:94-102. https://doi.org/10.1016/j.cam.2016.01.0139410231