The iterative methods with higher order convergence for solving a system of nonlinear equations
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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.
Share and Cite
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
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