| 一类改进的高斯-赛德尔迭代法的比较性定理 |
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| 引用本文： | 黄湧辉.一类改进的高斯-赛德尔迭代法的比较性定理[J].五邑大学学报(自然科学版),2011(3):19-22. |
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| 作者姓名： | 黄湧辉 |
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| 作者单位： | 华南师范大学数学科学学院,广东广州,510631 |
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| 摘 要： | 讨论了改进的高斯-赛德尔迭代法的收敛性．若系数矩阵为非奇异不可约M-矩阵。则该预条件下高斯-赛德尔迭代法收敛的快慢取决于原高斯-赛德尔迭代法谱半径的大小．同样，在该预条件下高斯-赛德尔迭代法的谱半径大小与其他高斯-赛德尔迭代法的谱半径大小有关
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| 关 键 词： | 谱半径 预条件迭代法 非奇异不可约M-矩阵 收敛速度 高斯--赛德尔迭代法 |
A New Comparison Theorem for the Preconditioned Gauss-Seidel Iterative Method |
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| HUANG Yong-hui.A New Comparison Theorem for the Preconditioned Gauss-Seidel Iterative Method[J].Journal of Wuyi University(Natural Science Edition),2011(3):19-22. |
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| Authors: | HUANG Yong-hui |
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| Institution: | HUANG Yong-hui(School of Mathematical Sciences,South China Normal University,Guangzhou 510631,China) |
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| Abstract: | In this paper, the convergence analysis for a new preconditioned method was discussed. If the coefficient matrix is a nonsingular irred convergence rate of this iterative method depends on the spectral radius of the method. Likewise, the spectral radius o |
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| Keywords: | spectral radius preconditioned iterative method nonsingular irreducible M-matrix convergence rate Gauss-Seidel iterative |
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