| 一种实用的线性方程组迭代预处理算法 |
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| 引用本文： | 张亚红. 一种实用的线性方程组迭代预处理算法[J]. 淮阴工学院学报, 2006, 15(5): 1-3 |
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| 作者姓名： | 张亚红 |
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| 作者单位： | 淮阴工学院,计算机工程系,江苏,淮安,223001 |
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| 摘 要： | 针对传统解线性方程组Ax=b的迭代法的局限性,通过引入全主元矩阵的概念,提出了一种改进算法,先将线性方程组的系数矩阵A变换成全主元矩阵,然后再进行迭代。数值实验结果表明:该算法可大大提高迭代法的收敛比率。
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| 关 键 词： | 线性方程组 迭代法 全主元矩阵 改进算法 |
| 文章编号： | 1009-7961(2006)05-0001-03 |
| 修稿时间： | 2006-04-04 |
A Practical Preconditioning Algorithm of Iteration for Linear Systems |
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| ZHANG Ya-hong. A Practical Preconditioning Algorithm of Iteration for Linear Systems[J]. Journal of Huaiyin Institute of Technology, 2006, 15(5): 1-3 |
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| Authors: | ZHANG Ya-hong |
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| Abstract: | There exists limitation in the traditional iteration methods of solving linear systems Ax=b.This paper introduces the concept of whole-main-factor-matrix,proposes a kind of new preconditioning algorithm,translates the coefficient matrix of linear systems into whole-main-factor-matrix and then introduces the methods of iteration.Numerical experiments show that the algorithm can improve the rate of convergence effectively. |
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| Keywords: | linear system methods of iteration whole-main-factor-matrix reformative algorithm |
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