| 基于有理逼近的Halley迭代公式 |
| |
| 引用本文： | 李声锋. 基于有理逼近的Halley迭代公式[J]. 安徽大学学报(自然科学版), 2008, 32(2): 5-7 |
| |
| 作者姓名： | 李声锋 |
| |
| 作者单位： | 合肥工业大学计算机与信息学院,安徽,合肥,230009;蚌埠学院,理学系,安徽,蚌埠,233000 |
| |
| 基金项目： | 国家自然科学基金，安徽省教育厅科技创新团队基金 |
| |
| 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.
|
| 关 键 词： | Thiele连分式 迭代公式 差商 |
| 文章编号： | 1000-2162(2008)02-0005-03 |
| 修稿时间： | 2007-11-02 |
The Halley's iterative formula based on rational approximation |
| |
| LI Sheng-feng. The Halley's iterative formula based on rational approximation[J]. Journal of Anhui University(Natural Sciences), 2008, 32(2): 5-7 |
| |
| Authors: | LI Sheng-feng |
| |
| Abstract: | Continued fraction is an important rational approximation.By means of Thiele's continued fraction,the Halley's iterative formula was deduced again in 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. |
| |
| Keywords: | Thiele's continued fraction iterative formula divided difference |
| 本文献已被 CNKI 维普 万方数据 等数据库收录！ |
|
