| 求解对称非线性方程组基于信赖域的修正牛顿法 |
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| 引用本文： | 余芝云,陈争,马昌凤.求解对称非线性方程组基于信赖域的修正牛顿法[J].福建师范大学学报(自然科学版),2010,26(1). |
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| 作者姓名： | 余芝云 陈争 马昌凤 |
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| 作者单位： | 1. 福建师范大学数学与计算机科学学院,福建,福州,350007
2. 福建江夏学院数学教研室,福建,福州,350108 |
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| 基金项目： | 福建省自然科学基金资助项目(2009J01002);;福建省科技厅资助省属高校项目(2008F5019) |
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| 摘 要： | 提出一个求解对称非线性方程组基于信赖域的修正牛顿法,在适当的条件下建立了该算法的全局收敛性.数值结果表明该方法是有效的.
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| 关 键 词： | 对称非线性方程组 阻尼牛顿法 全局收敛性 |
A Trust-region-based Modified Newton Method for Solving Symmetric Nonlinear Equations |
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| YU Zhi-yun,CHEN Zheng,MA Chang-feng.A Trust-region-based Modified Newton Method for Solving Symmetric Nonlinear Equations[J].Journal of Fujian Teachers University(Natural Science),2010,26(1). |
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| Authors: | YU Zhi-yun CHEN Zheng MA Chang-feng |
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| Institution: | 1.School of Mathematics and Computer Science;Fujian Normal University;Fuzhou 350007;China;2.Department of Mathematics;Fujian Jiangxia College;Fuzhou 350108;China |
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| Abstract: | A trust-region-based modified Newton method for solving symmetric nonlinear equations is proposed.The global convergence of the presented method is prove under suitable conditions.Some numerical results show that this method is effective for the given problem. |
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| Keywords: | symmetric nonlinear equations modified Newton method global convergence |
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