摘要
利用单点信息的方法,研究了求解解析算子中方程零点的Halley方法,解决了从任意一点本身的信息出发,判断其为Halley方法的逼近零点的两个充分条件.相对于Smale曾提出的对Newton方法α至多为3-22,该方法对一般有理迭代都可实现.
In this paper the Halley's method for solving analytic operator equations from data at one point is studied.Two sufficient of examinning approximate zeros from data at one point itself is obtained.Particularly,Smale once suggested that α should be less than 3-22 by Newton method and the method in this paper can be applied to rational iteation in general.
出处
《郑州大学学报（工学版）》
CAS
2003年第2期90-92,共3页
Journal of Zhengzhou University（Engineering Science）
