| 对称正定Toeplitz型方程组的混合预处理 |
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| 引用本文： | 郭国超,刘仲云. 对称正定Toeplitz型方程组的混合预处理[J]. 数学理论与应用, 2013, 0(2): 1-4 |
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| 作者姓名： | 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,长沙410004 |
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| 摘 要： | 本文提出一个新的预条件子,用共轭梯度法求解对称正定的Teoplitz型线性方程组.该预处理子构造简单,易于实施快速傅里叶变换.理论和数值实验显示,我们的预处理子与T.Chan预处理子收敛性相近.
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| 关 键 词： | Toeplitz型矩阵 预处理共轭梯度法 Strang循环预处理子 T.Chan循环预处理子 |
A Hybrid Preconditioner for Symmetric Positive Definite Toeplitz-like Systems |
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| Guo Guochao,Liu Zhongyun. A Hybrid Preconditioner for Symmetric Positive Definite Toeplitz-like Systems[J]. Mathematical Theory and Applications, 2013, 0(2): 1-4 |
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| Authors: | Guo Guochao Liu Zhongyun |
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| Affiliation: | ( School of Mathematics and Computing Science, Changsha University of Science and Technology, Changsha, 410004, China) |
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| Abstract: | In this paper we propose a new preconditioner for solving symmetric positive definite Toeplitz - plus - di-agonal systems by conjugate gradient method. The proposed preeonditioner can be easily constructed and the precon-ditioning system can be solved by using fast Fourier transformations. Both theory and numerical experimental results show that our preconditioner works as well as T. Chan＇ s one. |
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| Keywords: | Toeplitz-like systems Preconditioned conjugate gradient methods（PCG） Strang＇ s preconditioner T. Chan＇ s preconditioner |
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