| 解多元非线性方程组的一个非线性迭代法 |
| |
| 引用本文： | 赵华敏,陈开周.解多元非线性方程组的一个非线性迭代法[J].长安大学学报(自然科学版),2001,21(2):124-126. |
| |
| 作者姓名： | 赵华敏 陈开周 |
| |
| 作者单位： | 西安电子科技大学理学院, |
| |
| 摘 要： | 针对两种不同类型的多元非线性方程组分别构造了相应的常微分方程组初值问题，并讨论了非线性方程组的根与初值问题的解之间的关系。在此基础上，给出了解多元非线性方程组的一个非线性迭代法，该方法是二阶收敛的，数值试验结果表明，该方法是有效的。
|
| 关 键 词： | 多元非线性方程组 迭代法 数值分析 |
| 文章编号： | 1007-4112(2001)02-0124-03 |
| 修稿时间： | 2000年3月23日 |
A Nonlinear Iterative
Method for Solving Systems of Nonlinear Multivariable Equations |
| |
| ZHAO Hua-min,CHEN Kai-zhou.A Nonlinear Iterative
Method for Solving Systems of Nonlinear Multivariable Equations[J].JOurnal of Chang’an University:Natural Science Edition,2001,21(2):124-126. |
| |
| Authors: | ZHAO Hua-min CHEN Kai-zhou |
| |
| Abstract: | Corresponding initial value problems of systems of ordinary differential equations for solving two different classes of systems of nonlinear multivariable equations are constructed respectively. The relationship between the root of systems of nonlinear equations and the solution of the initial value problems is discussed.Based on this,a nonlinear iterative method for solving systems of nonlinear multivariable equations is given.The method is second order convergent.Finally,the effectiveness of the method is illustrated with some numerical tests. |
| |
| Keywords: | |
| 本文献已被 万方数据 等数据库收录！ |
