| 关于二步割线法的收敛阶 |
| |
| 引用本文： | 周叔子.关于二步割线法的收敛阶[J].湖南农业大学学报(自然科学版),1987,14(4). |
| |
| 作者姓名： | 周叔子 |
| |
| 作者单位： | 湖南大学应用数学系 |
| |
| 摘 要： | 对n元非线性方程组f(x)=0的求解,二步割线法是一种有效的算法,本文证明,它的"根收敛阶"不小于方程t~(n+1)-t~n+2=0的唯一正根.
|
| 关 键 词： | 非线性方程组 二步割线法 根收敛阶 |
On the Convergence Order of Two-Step Secant Method |
| |
| Zhou Shuzi.On the Convergence Order of Two-Step Secant Method[J].Journal of Hunan Agricultural University,1987,14(4). |
| |
| Authors: | Zhou Shuzi |
| |
| Institution: | Zhou Shuzi Department of Applied Mathematics |
| |
| Abstract: | The two-step secant method is an efficient algorithm for solving nonlinear equations with n variables. We prove in this paper that the rootconvergence order of this method is not less than the unique positive root of equation t~(n+1)-t~n-2=0. |
| |
| Keywords: | system of nonlinear equations two-step secant method root-convergence order |
|
| 点击此处可从《湖南农业大学学报(自然科学版)》浏览原始摘要信息 |
| 点击此处可从《湖南农业大学学报(自然科学版)》下载免费的PDF全文 |
