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一个高斯-赛德尔方法解方程组的有趣结果

Some Interesting Results of Solving Equations by Gauss - Seidel Method
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摘要 本文首先介绍了用高斯-赛德尔方法求解一般线性方程组的问题,其次介绍了与高斯-赛德尔方法收敛性有关的几个已有结果,然后给出了用高斯-赛德尔方法求解一般三对角方程组收敛的充分必要条件,最后在收敛的条件下给出用高斯-赛德尔方法求解一般三对角方程组的计算机实现. The paper firstly introduces the issue of solving the general linear equation group by using Gauss-Seidel method,and then some known results about the convergence of the Gauss-Seidel method is also be shown.Based on this,the paper presents the necessary and sufficient condition to solve the general Tri-diagonal system by using Gauss-Seidel method on the condition of convergence.Finally,the computer realization of solving the general Tri-diagonal system by using Gauss-Seidel method is presented.
作者 冯天祥
出处 《重庆三峡学院学报》 2010年第3期14-17,共4页 Journal of Chongqing Three Gorges University
关键词 高斯-赛德尔方法 三对角矩阵 方程组 Gauss-Seidel method tri-diagonal system equations
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