A new three-step class of iterative methods for solving nonlinear systems

Abstract

[EN] In this work, a new class of iterative methods for solving nonlinear equations is presented and also its extension for nonlinear systems of equations. This family is developed by using a scalar and matrix weight function procedure, respectively, getting sixth-order of convergence in both cases. Several numerical examples are given to illustrate the efficiency and performance of the proposed methods.This research has been partially supported by both Generalitat Valenciana and Ministerio de Ciencia, Investigacion y Universidades, under grants PROMETEO/2016/089 and PGC2018-095896-B-C22 (MCIU/AEI/FEDER, UE), respectively.Capdevila-Brown, RR.; Cordero Barbero, A.; Torregrosa Sánchez, JR. (2019). A new three-step class of iterative methods for solving nonlinear systems. Mathematics. 7(12):1-14. https://doi.org/10.3390/math712122111471