|
|||||
|
|
| Z-矩阵的预条件块AOR(BAOR)迭代法(英文) | |
| 引用本文： | 杨顺枫,李耀堂,程军.Z-矩阵的预条件块AOR(BAOR)迭代法(英文)[J].曲靖师范学院学报,2011,30(3):1-7. |
| 作者姓名： | 杨顺枫 李耀堂 程军 |
| 作者单位： | 1. 云南教育出版社,云南昆明,650034 2. 云南大学数学系,云南昆明,650091 3. 曲靖师范学院教师教育学院,云南曲靖,655011 |
| 基金项目： | 国家自然科学基金项目(30770500) |
| 摘 要： | 为求解线性方程组Ax=b,人们提出了许多预条件因子,并给出对应的预条件方法.给出两个新预条件因子,在系数矩阵为Z-矩阵的条件下,探讨对应预条件AOR迭代法的收敛性质和收敛速度.最后,依据给出数值算例,验证所得定理. |
| 关 键 词： | BAOR迭代法 块预条件因子 预条件BAOR迭代法 Z-矩阵 M-矩阵 |
Preconditioned Block AOR(BAOR) Iterative Method For Z-matrices |
|
| Yang Shunfeng ,Li Yaotang ,Cheng Jun.Preconditioned Block AOR(BAOR) Iterative Method For Z-matrices[J].Journal of Qujing Normal College,2011,30(3):1-7. | |
| Authors: | Yang Shunfeng Li Yaotang Cheng Jun |
| Institution: | Yang Shunfeng 1,Li Yaotang 2,Cheng Jun3(1.Yunnan Education Publishing House,Kunming Yunnan 650034,2.Department of Mathematics,Yunnan University Kunming Yunnan 650091,3.Teacher Education College,Qunjing Normal University,Qingjing Yunnan 655011,P.R.China) |
| Abstract: | In order to solve the linear system Ax=b,many preconditioned iterative methods with different preconditioners have been proposed by researchers.In this paper,we propose two new preconditioners,which are applied to BAOR iterative method.Meanwhile,some convergence properties and comparison results are presented when the coefficient matrix A is a Z-matrix.Furthermore,numerical examples are given to illustrate our results. |
| Keywords: | BAOR iterative method block preconditioner preconditioned BAOR iterative method Z-matrix M-matrix |
| 本文献已被 CNKI 万方数据 等数据库收录！ | |