| Z-矩阵预条件AOR迭代方法 |
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| 引用本文： | 周裕中,方平.Z-矩阵预条件AOR迭代方法[J].江西师范大学学报(自然科学版),2010,34(2). |
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| 作者姓名： | 周裕中 方平 |
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| 作者单位： | 华南农业大学理学院数学系,广东,广州,510640 |
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| 基金项目： | 国家自然科学基金，广东省自然科学基金 |
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| 摘 要： | 利用预条件AOR迭代方法研究了线性方程组的迭代矩阵谱半径的收敛性问题,对古典的AOR迭代方法和预条件AOR迭代方法2种谱半径进行了比较,得到了一些比较定理,推广了前人相应的结果.
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| 关 键 词： | AOR迭代方法 谱半径 渐进收敛速度 非奇异(奇异)M-矩阵 收敛性 |
The Z-Matrix Preconditioned AOR Iteration Methods |
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| ZHOU Yu-zhong,FANG Ping.The Z-Matrix Preconditioned AOR Iteration Methods[J].Journal of Jiangxi Normal University (Natural Sciences Edition),2010,34(2). |
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| Authors: | ZHOU Yu-zhong FANG Ping |
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| Institution: | ZHOU Yu-zhong,FANG Ping(Department of Mathematic,College of Science,South China Agricultural University,Guangzhou Guangdong 510640,China) |
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| Abstract: | By the preconditioned AOR iteration methods for solving linear systems,the convergence of the spectral radius of iterative matrix is studied.The preconditioned AOR iteration methods are compared with the classical AOR methods,and some comparison theorems of these methods are provided,some recent results are improved. |
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| Keywords: | AOR iterative method spectral radius convergence rate nonsingular(singular) M-matrix convergence |
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