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解线性方程组改进的高斯-塞德尔方法的比较

COMPARISION ON THE MODIFIED GAUSS-SEIDEL METHOD FOR SOLVING LINEAR SYSTEMS
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摘要 给出了改进的高斯-塞德尔(GS)方法的一些理论分析.首先,当系数矩阵是弱不可约的,给出了改进的GS方法和GS方法之间的一些比较结果,从而推广了最新的结果.其次,改进了一些作者的关于预处理后的GS方法的一个结果. Some theoretic analysis on modified Gauss-Seidel (GS) method are given. Firstly some comparison results between the modified GS method and the GS method when the matrix is assumed to be weakly irreducible are given, which extend the newest corresponding results. Secondly, a result on pre-conditioned GS method by some other authors else is modified.
出处 《华南师范大学学报(自然科学版)》 CAS 2007年第4期30-35,50,共7页 Journal of South China Normal University(Natural Science Edition)
基金 国家自然科学基金资助项目(10671077) 广东省自然科学基金资助项目(06025061 039416)
关键词 谱半径 预条件 高斯-塞德尔方法 弱不可约 spectral radius precondition Gauss-Seidel method
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参考文献7

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