摘要
迭代法是方程求根中最常用的方法,本文首先介绍了与迭代法相关的概念和收敛性定理,然后讨论了牛顿迭代法的局部收敛性,最后讨论了牛顿迭代法的收敛阶与方程重根的关系,并举例进行说明.
Iteration method is common method in equation solving,in this paper,the author introduced corresponding concepts and convergent theorem of iteration method and then discussed the relation between convergence order of Newton iteration method and repeated root of equation,and illustrated by examples.
出处
《青海师范大学学报（自然科学版）》
2016年第1期7-9,13,共4页
Journal of Qinghai Normal University(Natural Science Edition)
关键词
迭代法
牛顿迭代法
收敛阶
方程重根
iteration method
Newton iteration method
convergence order
repeated root
