张旭¹, 檀结庆², 艾列富³

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）.

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

Zhang Xu¹, Tan Jieqing², Ai Liefu³

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:2015-11-04Online:2017-02-15Published:2017-02-17







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本文将一种改进的二步迭代算法作为预测，将高斯-勒让德求积公式作为校正，提出了一种求解非线性方程组的具有3p收敛阶的迭代方法.最后给出了一些数值实例，将本文的实验结果与现有的几种迭代方法的实验结果作了比较分析，验证了本文所提出的结果.
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