| 预处理Hermitian和skew-Hermitian分裂迭代法 |
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| 引用本文： | 石艳超,徐安农.预处理Hermitian和skew-Hermitian分裂迭代法[J].安徽大学学报(自然科学版),2010,34(1). |
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| 作者姓名： | 石艳超 徐安农 |
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| 作者单位： | 桂林电子科技大学,数学与计算科学学院,广西,桂林541004 |
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| 基金项目： | 广西省自然科学基金资助项目(0728206) |
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| 摘 要： | 对于系数矩阵为大型稀疏非Hermitian正定线性方程组,白中治、Golub和Ng提出了Hermitian和skew-Hermitian分裂迭代法(HSS).该论文提出一种预处理Hermitian和skew-Hermitian分裂迭代法(PHSS).理论分析该法收敛于线性方程组的唯一解.
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| 关 键 词： | 非Hermitian正定矩阵 Hermitian和skew-Hermitian分裂 预处理因子 迭代法 |
Preconditioned Hermitian and skew-Hermitian splitting methods |
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| SHI Yan-chao,XU An-nong.Preconditioned Hermitian and skew-Hermitian splitting methods[J].Journal of Anhui University(Natural Sciences),2010,34(1). |
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| Authors: | SHI Yan-chao XU An-nong |
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| Institution: | Department of Computational Science and Mathematics;Guilin University of Electronic Technology;Guilin 541004;China |
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| Abstract: | For large sparse non-Hermitian positive definite system of linear equations.Bai zhong zhi,Golub and Ng recently studied an Hermitian and skew-Hermitian splitting methods(HSS).This article established a class of preconditioned Hermitian and skew-Hermitian splitting iteration methods.Theoretical analysis showed that the new method converged unconditionally to the unique solution of the linear system. |
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| Keywords: | non-Hermitian positive definite matrix Hermitian and skew-Hermitian splitting preconditioned iteration method |
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