| 新的预条件AOR迭代法和新的比较定理 |
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| 引用本文： | 常岩磊,张国凤,赵景余.新的预条件AOR迭代法和新的比较定理[J].兰州大学学报(自然科学版),2009,45(1). |
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| 作者姓名： | 常岩磊 张国凤 赵景余 |
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| 作者单位： | 兰州大学数学与统计学院,兰州,730000 |
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| 基金项目： | 教育部"春晖计划"项目，留学回国人员科研启动基金 |
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| 摘 要： | 提出了一种新的预处理矩阵,并研究了新的预处理AOR迭代法的收敛性,建立了新的预处理AOR法与(J+S)下AOR迭代法以及和经典AOR迭代法之间的比较定理.数值例子验证了定理的正确性并说明了这种方法的有效性.
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| 关 键 词： | M-矩阵 预条件 AOR迭代方法 SOR迭代方法 收敛性 |
New preconditioned AOR iterative method and comparison theorems |
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| CHANG Yan-lei,ZHANG Guo-feng,ZHAO Jing-yu.New preconditioned AOR iterative method and comparison theorems[J].Journal of Lanzhou University(Natural Science),2009,45(1). |
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| Authors: | CHANG Yan-lei ZHANG Guo-feng ZHAO Jing-yu |
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| Institution: | School of Mathematics and Statistics;Lanzhou University;Lanzhou 730000;China |
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| Abstract: | A new preconditioned matrix was proposed,the convergence of the new preconditioned AOR iterative method was discussed and some new comparison theorems between two different preconditioned AOR methods and between the new preconditioned AOR method and the classical AOR iterative method were established.Finally,numerical experiments were used to demonstrate the feasibility and effectiveness of the new preconditioned AOR iterative method. |
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| Keywords: | M-matrix preconditioning AOR method SOR method convergence |
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