| 关于JOR迭代法的收敛性 |
| |
| 引用本文： | 唐玉超.关于JOR迭代法的收敛性[J].南昌大学学报(工科版),2011,33(3):285-289. |
| |
| 作者姓名： | 唐玉超 |
| |
| 作者单位： | 南昌大学数学系,江西南昌,330031 |
| |
| 基金项目： | 国家自然科学基金资助项目(60970149); 江西省自然科学基金资助项目(2009GZS0021,2007GQS2063) |
| |
| 摘 要： | 借助非扩张映射不动点的理论，受到Krasnoselskii—Mann迭代格式的启发，提出了从Jacobi迭代法到JOR迭代法一种简单明了的定义方式，并且得到了JOR迭代法收敛的充分条件，给出了相关数值实例。
|
| 关 键 词： | Banach压缩映射原理 非扩张映射 JOR迭代法 |
Convergence of the JOR iterative method |
| |
| TANG Yu-chao.Convergence of the JOR iterative method[J].Journal of Nanchang University(Engineering & Technology Edition),2011,33(3):285-289. |
| |
| Authors: | TANG Yu-chao |
| |
| Affiliation: | TANG Yu-chao(Department of Mathematics,Nanchang University,Nanchang 330031,China) |
| |
| Abstract: | Based on the fixed point theory of nonexpansive mapping and motivated by the definition of Krasnoselskii-Mann iterative sequence,the JOR iterative method is derived from the Jacobi iterative method naturally,and some sufficient conditions is gived for the convergence of JOR iterative method.The numerical experiments are provided to demonstrate the convergence results. |
| |
| Keywords: | Banach contractive principle nonexpansive mapping JOR iteration |
| 本文献已被 CNKI 维普 万方数据 等数据库收录！ |
