| 网格方程组预处理方法研究 |
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| 引用本文： | 武瑞婵.网格方程组预处理方法研究[J].襄樊学院学报,2008,29(5):10-12. |
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| 作者姓名： | 武瑞婵 |
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| 作者单位： | 襄樊学院,数学系,湖北,襄樊,441053 |
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| 摘 要： | 对网格方程组作区域分裂并行计算，应用谱等价胜质讨论了变换在预条件迭代中的作用．将近似LU分解与局部正交化方法相结合构造预处理矩阵，并通过算例证明了这种方法的有效性．
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| 关 键 词： | 网格方程组 并行计算 预条件 谱等价 LU分解 局部正交化 |
A Study on Solving Grid Questions by Preconditioned Iteration Method |
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| WU Rui-chan.A Study on Solving Grid Questions by Preconditioned Iteration Method[J].Journal of Xiangfan University,2008,29(5):10-12. |
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| Authors: | WU Rui-chan |
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| Institution: | WU Rui-chan (Department of Mathematics, Xiangfan University, Xiangfan 441053, China) |
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| Abstract: | This paper solves the grid equations in decomposed domain by parallel computation, and provides the effect of transform in preconditioned iteration method. It constructs preconditioned iteration matrix by the method of LU decomposition and local orthogonalization, at the same time, proves the validity of this algorithm. |
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| Keywords: | Grid equations Parallel computation Precondition Spectral equivalence LU decomposition Local orthogonalization |
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