A unified model for solving a system of nonlinear equations

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摘要

In this paper, we suggest and analyze a unified model of two-step iterative method for solving a system of nonlinear equations. We prove that the unified model achieves fourth order convergence. Several numerical examples are given to illustrate the efficiency and the performance of the new iterative methods. From the comparison with some known methods it is observed that the present methods are of practical utility.

论文关键词:System of nonlinear equations,Newton’s method,Order of convergence,Efficiency

论文评审过程:Received 11 December 2015, Revised 7 May 2016, Accepted 25 May 2016, Available online 15 June 2016, Version of Record 15 June 2016.

论文官网地址:https://doi.org/10.1016/j.amc.2016.05.047