| 线性方程组预条件AOR迭代法的一些改进结果 |
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| 引用本文： | 王学忠.线性方程组预条件AOR迭代法的一些改进结果[J].河西学院学报,2011,27(5):17-22. |
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| 作者姓名： | 王学忠 |
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| 作者单位： | 河西学院数学与统计学院,甘肃张掖,734000 |
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| 摘 要： | 本文运用I+βU作为预条件矩阵,讨论了预条件AOR迭代法的收敛性和谱半径的比较结果,并且改进了文1]中的有关结果.理论和数值试验都表明了当0燮r燮ω燮1时,预条件Gauss-Seidel迭代法要优于预条件AOR迭代法.
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| 关 键 词： | Z-矩阵 AOR迭代法 预条件矩阵 收敛性 谱半径 |
Further Results on Pre-conditioned AOR Iterative Method for Linear Systems |
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| Wang Xue-zhong.Further Results on Pre-conditioned AOR Iterative Method for Linear Systems[J].Journal of Hexi University,2011,27(5):17-22. |
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| Authors: | Wang Xue-zhong |
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| Institution: | Wang Xue-zhong (School of Mathematics and Statistics, Hexi University, Zhangye, Gansu 734000) |
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| Abstract: | In this paper,we provide more comparison theorems on preconditioned AOR iterative method with preconditioner I＋βU for solving linear systems. Some recent results are improved. Comparison results and the numerical example show that the rate of convergence of the preconditioned Gauss-Seidel method is faster than that of the preconditioned AOR iterative method. |
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| Keywords: | Z-matrix AOR iterative method Pre-conditioner Convergence Spectral radius |
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