| 对称正定矩阵多级分裂预处理子 |
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| 引用本文： | 徐波,鲁雪晶,张月兰,郭国超,刘仲云.对称正定矩阵多级分裂预处理子[J].数学理论与应用,2013(1):57-62. |
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| 作者姓名： | 徐波 鲁雪晶 张月兰 郭国超 刘仲云 |
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| 作者单位： | 长沙理工大学数学与计算科学学院 |
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| 摘 要： | 本文基于对称正定矩阵的多级分裂,讨论了这类方程组的多级分裂预处理子的构造,证明了预处理子的合理性.数值试验显示我们的预处理子是有效的.
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| 关 键 词： | 预处理子 多级分裂 对称正定 共轭梯度法 |
Multistage Splitting Preconditioners for Symmetric Positive Definite Linear Systems |
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| Xu Bo Lu Xuejing Zhang Yuelan Guo Guochao Liu Zhongyun.Multistage Splitting Preconditioners for Symmetric Positive Definite Linear Systems[J].Mathematical Theory and Applications,2013(1):57-62. |
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| Authors: | Xu Bo Lu Xuejing Zhang Yuelan Guo Guochao Liu Zhongyun |
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| Institution: | Xu Bo Lu Xuejing Zhang Yuelan Guo Guochao Liu Zhongyun(School of Mathematics and Computing Science,Changsha University of Science and Technology, Changsha 410114,China) |
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| Abstract: | A new preconditioner for symmetric positive definite linear systems is constructed based on the multistage splitting of the coefficient matrix. The validity of the new preeonditioner is showed and a numerical example is given to illustrate it. Numerical experimentations show that our preconditioners are effective. |
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| Keywords: | Preconditioner Multistage Splitting Symmetric Positive Definite Conjugate Gradient Method |
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