基于有理逼近的Halley迭代公式  

The Halley's iterative formula based on rational approximation

作　　者：李声锋[1] 

机构地区：[1]合肥工业大学计算机与信息学院

出　　处：《安徽大学学报（自然科学版）》2008年第2期5-7,共3页Journal of Anhui University(Natural Science Edition)

基　　金：国家自然科学基金资助项目(60773043);安徽省教育厅科技创新团队基金资助项目(2005TD03)

摘　　要：连分式逼近是一种重要的有理逼近.作者基于Th iele连分式逼近,重新推导了Halley迭代公式.采用导数可以被差商近似的办法,得到两个多初始点的迭代公式,从而避免了求导数运算.最后,通过实例将得到的几个迭代格式公式进行了数值实验.Continued fraction is an important rational fraction, the Halley＇s iterative formula was deduced again in approximation. By means of Thiele＇s continued this paper. Considering that derivatives could be approximated by divided differences, two iterative schemes that avoid computing derivatives were obtained. But more initial numbers were needed. At last numerical example was computed by these iteration schemes.

关 键 词：Thiele连分式 迭代公式 差商 

分 类 号：O241.7[理学—计算数学]