| 解线性方程组的预条件迭代方法 |
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| 引用本文： | 孙丽英.解线性方程组的预条件迭代方法[J].高等学校计算数学学报,2002,24(2):155-162. |
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| 作者姓名： | 孙丽英 |
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| 作者单位： | 广东教育学院数学系,广州,510303 |
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| 摘 要： | In this paper,we study the preconditioning iterative methods for the solution of the linear system and provide a convergence theorem of this method,it improves some recent results,We prove that if all parameters are in 0,1],the convergence rates for the MGS (Modified Gauss-Seidel)type methods are better than those of the corresponding SOR type methods.
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| 关 键 词： | 解 线性方程组 预条件迭代方法 |
| 修稿时间： | 2001年3月14日 |
THE PRECONDITIONING ITERATIVE METHODS FOR THE SOLUTION OF THE LINEAR SYSTEM |
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| Sun Liying.THE PRECONDITIONING ITERATIVE METHODS FOR THE SOLUTION OF THE LINEAR SYSTEM[J].Numerical Mathematics A Journal of Chinese Universities,2002,24(2):155-162. |
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| Authors: | Sun Liying |
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| Abstract: | In this paper, we study the preconditioning iterative methods for the solution of the linear system and provide a convergence theorem of this method, it improves some recent results. We prove that if all parameters are in 0,1], the convergence rates for the MGS (Modified Gauss-Seidel) type methods are better than those of the corresponding SOR type methods. |
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| Keywords: | precondition Gauss-Seidel method SOR-method H-matrix convergence nonsingular M-matrix |
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