| 改进牛顿法的研究 |
| |
| 引用本文： | 吴潇璇. 改进牛顿法的研究[J]. 南京大学学报(自然科学版), 2016, 0(2): 97-113. DOI: 10.3969/j.issn.0469-5097.2016.02.001 |
| |
| 作者姓名： | 吴潇璇 |
| |
| 作者单位： | 南京师范大学数学科学学院,南京,210023 |
| |
| 摘 要： | 本文对改进的牛顿迭代法做了进一步的研究.论文给出了这种新的迭代技术的动力系统行为和收敛性分析.同时也描述了这类迭代法及其离散形式的优越性.与经典的牛顿迭代法相比较,论文的数值实验验证了所得的理论分析结果.
|
| 关 键 词： | 牛顿迭代法 数值分析 |
RESEARCH ON IMPROVED NEWTON-TYPE METHODS |
| |
| Abstract: | In this paper,we present a new insight into an improvement on Newton's iterative method proposed by Wu (2000).We pursue our further study on the dynamic behaviour and convergence analysis for the new Newton-type method,and present the superiority analysis for the improved iterative method and its discrete versions.Numerical examples confirm our theoretical analysis in comparison with classical Newton-type methods. |
| |
| Keywords: | nonlinear equations continuous Newton's method Newton-type method Steffensen-type method Secant-type method preconditioning |
| 本文献已被 万方数据 等数据库收录！ |
|
