• 论文 •

### 一种求解非线性方程组的3p阶迭代方法

1. 1. 合肥工业大学数学学院, 合肥 230009;
2. 安庆师范大学数学与计算科学学院, 安庆 246133;
3. 合肥工业大学数学学院, 合肥 230009
• 收稿日期:2015-11-04 出版日期:2017-02-15 发布日期:2017-02-17
• 基金资助:

国家自然科学基金项目（61472466，61603003），中央高校基本科研业务费专项经费（JZ2015HGXJ0175）和安徽省自然科学基金（1608085MF144）.

Zhang Xu, Tan Jieqing, Ai Liefu. A NEW METHOD WITH CONVERGENCE ORDER 3P FOR SOLVING SYSTEMS OF NONLINEAR EQUATIONS[J]. Mathematica Numerica Sinica, 2017, 39(1): 14-22.

### A NEW METHOD WITH CONVERGENCE ORDER 3P FOR SOLVING SYSTEMS OF NONLINEAR EQUATIONS

Zhang Xu1, Tan Jieqing2, Ai Liefu3

1. 1. School of Mathematics and Computation Science, Anqing Normal University, Anqing 246133, China;
2. School of Mathematics, Hefei University of Technology, Hefei 230009, China;
3. School of Computer and Information, Anqing Normal University, Anqing 246133, China
• Received:2015-11-04 Online:2017-02-15 Published:2017-02-17

In this paper,we present a new iterative scheme with the convergence order 3p for solving the systems of nonlinear equations by using a modified two-step iterative algorithm as a predictor and Gauss-Legendre quadrature as a corrector.Numerical examples are given to show that the presented method outperforms the other ones.

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