| 一类新的预条件Gauss—Seide迭代法 |
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| 引用本文： | 高树玲,曾京玲.一类新的预条件Gauss—Seide迭代法[J].周口师范学院学报,2012,29(2):9-12. |
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| 作者姓名： | 高树玲 曾京玲 |
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| 作者单位： | 1. 周口师范学院数学系,河南周口,466001
2. 渭南师范学院教务处,陕西渭南,714000 |
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| 基金项目： | 国家自然科学基金资助项目(No.60671063) |
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| 摘 要： | Gauss—Seide迭代法是经典的迭代法．通．过提出一种新的预条件因子，证明了在非奇异M-矩阵下该预条件加速了迭代法的收敛性．最后给出数值算例说明：该预条件迭代方法优于通常的Gauss—Seide迭代法．
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| 关 键 词： | 预条件 非奇异M-矩阵 Gauss-Seide迭代法 |
A new preconditions Gauss-Seide iterative method |
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| GAO Shuling,ZENG Jingling.A new preconditions Gauss-Seide iterative method[J].Journal of Zhoukou Normal University,2012,29(2):9-12. |
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| Authors: | GAO Shuling ZENG Jingling |
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| Institution: | 1.Department of Mathematics,Zhoukou Normal University,Zhoukou 466001,China;2.Office of Educational Administration,Weinan Normal University,Weinan 714000,China) |
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| Abstract: | Gauss-Seide iteration is the classic iterative method.In this paper,we first present a preconditions factor and then prove the accelerated convergence of the iteration method by the preconditions under the nonsingular M-matrix.Numerical examples show that the precondition is superior to the usual preconditions law. |
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| Keywords: | pre-conditions non-singular M-matrix Gauss-Seide iteration method |
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