| 广义修正HSS迭代法的超松弛加逮 |
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| 引用本文： | 陈芳,蒋耀林.广义修正HSS迭代法的超松弛加逮[J].数值计算与计算机应用,2011,32(1):41-48. |
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| 作者姓名： | 陈芳 蒋耀林 |
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| 作者单位： | 1. 西安交通大学理学院,西安,710049;西安邮电学院理学院,西安,710121
2. 西安交通大学理学院,西安,710049 |
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| 基金项目： | 陕西省科学技术研究发展计划项目(No.2008K01-33); 陕西省自然科学基础研究项目(No.SJ08E26); 陕西省教育厅专项科研计划项目(No.09JK716); 中央高校基本科研业务费专项基金的资助. |
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| 摘 要： | 通过推广修正埃尔米特和反埃尔米特（MHSS）迭代法，我们进一步得到了求解大型稀疏非埃尔米特正定线性方程组的广义MHSS（GMHSS）迭代法．基于不动点方程，我们还将超松弛（SOR）技术运用到了GMHSS迭代法，得到了关于GMHSS迭代法的SOR加速，并分析了它的收敛性．数值算例表明，SOR技术能够大大提高加速GMHSS迭代法的收敛效率．
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| 关 键 词： | 超松弛迭代法 HSS迭代法 修正HSS迭代法 SOR加速 |
On SOR Acceleration of Generalized Modified Hermitian and Skew-Hermitian Splitting Iteration Method |
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| Chen Fang,Jiang Yaolin.On SOR Acceleration of Generalized Modified Hermitian and Skew-Hermitian Splitting Iteration Method[J].Journal on Numerical Methods and Computer Applications,2011,32(1):41-48. |
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| Authors: | Chen Fang Jiang Yaolin |
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| Affiliation: | Chen Fang (School of Sciences,Xi'an Jiaotong University,Xi'an 710049,China,School of Sciences,Xi'an University of Post and Telecommunications,Xi'an 710121,China) Jiang Yaolin (Department of Mathematical Sciences,China) |
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| Abstract: | We generalize the modified Hermitian and skew-Hermitian splitting(MHSS) iteration method for solving large sparse non-Hermitian positive definite system of linear equations, obtain the generalized MHSS(GMHSS) iteration method.By the fixed-point equations we propose a successive overrelaxation(SOR) acceleration for the GMHSS iteration method and prove its convergence.Numerical examples show that the SOR strategy can accelerate the convergence rate of the GMHSS iteration method. |
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| Keywords: | SOR iteration method HSS iteration method Modified HSS iteration method SOR acceleration |
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