| 求解非线性方程重根的平方收敛迭代法 |
| |
| 引用本文： | 田明.求解非线性方程重根的平方收敛迭代法[J].数学的实践与认识,2009,39(23). |
| |
| 作者姓名： | 田明 |
| |
| 作者单位： | 中国民航大学理学院,天津,300300 |
| |
| 基金项目： | 天津市自然科学基金，中国民航大学科研基金 |
| |
| 摘 要： | 研究了具有重根的非线性方程的迭代方法,对基于动力系统的新牛顿类方法作了修改,改进方法仍保持了牛顿方法的二阶收敛性.数值实验结果验证了方法的有效性.
|
| 关 键 词： | 重根 非线性方程 动力系统 迭代方法 二次收敛 |
The Iterative Methods of Quadratic Convergence for Solving Nonlinear Equation with Multiple Root |
| |
| TIAN Ming.The Iterative Methods of Quadratic Convergence for Solving Nonlinear Equation with Multiple Root[J].Mathematics in Practice and Theory,2009,39(23). |
| |
| Authors: | TIAN Ming |
| |
| Abstract: | The new iterative method of quadratic convergence for solving nonlinear equation with multiple root are proposed in this paper. These methods are the improvements of new "Newton like" method on the basis of liapunov's methods of dynamic system. We deduce the improved iterative formulas and make corresponding theoretical proofs for quadratic convergence. The numerical experiment show the advantage and efficiency of the improved iterative method. |
| |
| Keywords: | multiple root nonlinear equation dynamic system iterative method quadratic convergence |
| 本文献已被 万方数据 等数据库收录！ |
|
