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.
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.
作者
吴潇璇
Wu Xiaoxuan(School of Mathematical Sciences, Nanjing Normal University, Nanjing 210023)
出处
《南京大学学报（数学半年刊）》
2016年第2期97-113,共17页
Journal of Nanjing University(Mathematical Biquarterly)
关键词
牛顿迭代法
数值分析
nonlinear equations, continuous Newton＇s method, Newton-type method,Steffensen-type method, Secant-type method, preconditioning
