The iterative methods with higher order convergence for solving a system of nonlinear equations

Volume 10, Issue 7, pp 3834--3842 http://dx.doi.org/10.22436/jnsa.010.07.37

Publication Date: July 27, 2017 Submission Date: June 05, 2017

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Authors

Zhongyuan Chen - Research Center for Science Technology and Society, Fuzhou University of International Studies and Trade, Fuzhou 350202, P. R. China. Xiaofang Qiu - Research Center for Science Technology and Society, Fuzhou University of International Studies and Trade, Fuzhou 350202, P. R. China. Songbin Lin - Research Center for Science Technology and Society, Fuzhou University of International Studies and Trade, Fuzhou 350202, P. R. China. Baoguo Chen - Research Center for Science Technology and Society, Fuzhou University of International Studies and Trade, Fuzhou 350202, P. R. China.

Abstract

In this paper, two variants of iterative methods with higher order convergence are developed in order to solve a system of nonlinear equations. It is proved that these two new methods have cubic convergence. Some numerical examples are given to show the efficiency and the performance of the new iterative methods, which confirm the good theoretical properties of the approach.

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ISRP Style

Zhongyuan Chen, Xiaofang Qiu, Songbin Lin, Baoguo Chen, The iterative methods with higher order convergence for solving a system of nonlinear equations, Journal of Nonlinear Sciences and Applications, 10 (2017), no. 7, 3834--3842

AMA Style

Chen Zhongyuan, Qiu Xiaofang, Lin Songbin, Chen Baoguo, The iterative methods with higher order convergence for solving a system of nonlinear equations. J. Nonlinear Sci. Appl. (2017); 10(7):3834--3842

Chicago/Turabian Style

Chen, Zhongyuan, Qiu, Xiaofang, Lin, Songbin, Chen, Baoguo. "The iterative methods with higher order convergence for solving a system of nonlinear equations." Journal of Nonlinear Sciences and Applications, 10, no. 7 (2017): 3834--3842

Keywords

System of nonlinear equations
iterative methods
higher convergence rate
numerical examples.

MSC

65H10

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