牛顿迭代法收敛速度分析  

Analysis of the convergence rate on Newton iteration method

作　　者：高建强[1] 薛薇[1] 

机构地区：[1]天津科技大学电子信息与自动化学院,天津300222

出　　处：《郑州轻工业学院学报（自然科学版）》2005年第4期100-102,共3页Journal of Zhengzhou University of Light Industry:Natural Science

基　　金：天津市高等学校科技发展基金项目(20030514)

摘　　要：根据一阶导数的性质,讨论了在一些相对弱的条件下牛顿迭代法的超线性收敛性,得到了迭代法的收敛因子.在Visual C++环境下的数值实验表明,近似效果良好.Newton iteration method is proposed according to the character of derivative of the equations. Its superlinear convergence is also proved under an oppositely weakly condition and the convergence factor are gotten. Accordingly, some numerical experiments are performed in the environmnet of the Visual C ＋ ＋ and the approximation of Newton iteration method is obtained.

关 键 词：LIPSCHITZ条件 Hoelder条件 牛顿迭代法 超线性收敛性 

分 类 号：O241.7[理学—计算数学]