Derivative free iterative methods for nonlinear system

[EN] In this work we introduce a new operator of divided differences that preserves the convergence order when it is used for approximating the Jacobian matrix in iterative method for solving nonlinear systems. We obtain derivative free iterative methods with lower computational cost than the corresponding ones with different operators of divided differences. We also study the global convergence of these methods by analyzing their dynamical behaviorThis research was supported by Ministerio de Ciencia y Tecnologia MTM2011-28636-C02-02 and by Vicerrectorado de Investigacion, Universitat Politecnica de Valencia PAID-SP-2012-0498 and PAID-SP-2012-0474.Hueso Pagoaga, JL.; Martínez Molada, E.; Teruel, C. (2015). Derivative free iterative methods for nonlinear system. Applied Mathematics and Computation. 259:955-966. doi:10.1016/j.amc.2015.03.026S95596625