| 解非线性方程组的一个改进牛顿法 |
| |
| 引用本文： | 马成业,黄世华.解非线性方程组的一个改进牛顿法[J].甘肃联合大学学报(自然科学版),2009,23(1). |
| |
| 作者姓名： | 马成业 黄世华 |
| |
| 作者单位： | 1. 兰州理工大学,理学院,甘肃,兰州,730050
2. 甘肃联合大学,数信学院,甘肃,兰州,730070 |
| |
| 摘 要： | 针对牛顿法公式的局限性,利用非线性方程组F(x)=0的一个同解方程组的牛顿法公式,构造了求解非线性方程组F(x)=0的一个迭代法公式,牛顿法迭代公式是其特例,并讨论了其收敛性,通过算例说明了算法的有效性.
|
| 关 键 词： | 非线性方程组 迭代法 牛顿迭代公式 收敛性 |
A Modify Iterative Method for System of Nonlinear Equations |
| |
| MA Cheng-Ye,HUANG Shi-hua.A Modify Iterative Method for System of Nonlinear Equations[J].Journal of Gansu Lianhe University :Natural Sciences,2009,23(1). |
| |
| Authors: | MA Cheng-Ye HUANG Shi-hua |
| |
| Institution: | 1.School of Science;Lanzhou University of Technology;Lanzhou 730050;China;2.School of Mathematics and Information;Gansu Lianhe University;Lanzhou 730000;China |
| |
| Abstract: | Aiming at the limitation of Newton iterative formula,using Newton iterative method for system of nonlinear equations,new iterative method for solving system of nonlinear equations is constructed in this paper.Newton iterative method is a special case of this method,the convergence is presented and the numerical results are given to illustrate the efficiency of this methods. |
| |
| Keywords: | system of nonlinear equations iterative method Newton iterative formula convergence |
| 本文献已被 CNKI 维普 万方数据 等数据库收录！ |
|
