| 中点牛顿迭代格式的最优性 |
| |
| 引用本文： | 莫小平.中点牛顿迭代格式的最优性[J].数学的实践与认识,2009,39(13). |
| |
| 作者姓名： | 莫小平 |
| |
| 作者单位： | 黔南民族师范学院,贵州,都匀,558000 |
| |
| 摘 要： | 研究牛顿迭代法的变形格式,在中点迭代格式的基础上,提出了如下形式的一般迭代格式:{P∶zk+1=(xk-f(xk))/(f′(xk)) C∶xk+1=xk-(f(xk))/(f′(μxk+(1-μ)zk+1))并证明了中点迭代格式是这类迭代格式中最优的,收敛阶为3.
|
| 关 键 词： | 牛顿迭代 中点迭代格式 收敛阶 |
The Optimization of Midpoint Newton's Method |
| |
| MO Xiao-ping.The Optimization of Midpoint Newton's Method[J].Mathematics in Practice and Theory,2009,39(13). |
| |
| Authors: | MO Xiao-ping |
| |
| Abstract: | It is the main aim of this paper to investigate the modified forms of Newton′s method. Basing on the midpoint Newton′s method,the following general form has been introduced.{P∶zk+1=(xk-f(xk))/(f′(xk)) C∶xk+1=xk-(f(xk))/(f′(μxk+(1-μ)zk+1)) It has been proved that the midpoint Newton′s method is the optimization form. |
| |
| Keywords: | Newton′s iteration Midpoint Newton′s Method convergence order |
| 本文献已被 万方数据 等数据库收录！ |
|
