| 迭代法迭代阵谱半径新上界 |
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| 引用本文： | 高中喜,黄廷祝,王广彬. 迭代法迭代阵谱半径新上界[J]. 电子科技大学学报(社会科学版), 2002, 0(5) |
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| 作者姓名： | 高中喜 黄廷祝 王广彬 |
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| 作者单位： | 电子科技大学应用数学学院 成都610054
(高中喜，黄廷祝)，上海大学数学系 上海200436(王广彬) |
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| 基金项目： | 四川省跨世纪杰出青年科技学术带头人基金资助项目，编号:JSA1081 |
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| 摘 要： | 引用双严格对角占优的概念,针对线性方程组bAx=在求数值解时常用的迭代方法,给出了Jacobi和Gauss-Seidel迭代法迭代阵谱半径的新上界,该新上界优于严格对角占优矩阵条件下得到的已有的结果,是已有结果在更广泛矩阵类条件下的推广,对相应迭代法迭代阵谱半径的估计更加精确。最后给出了数值例子说明所给结果的优越性。
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| 关 键 词： | 线性方程组 双对角占优 迭代法 谱半径 |
A New Upper Bound for the Spectral Radius of Iterative Matrices |
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| Gao Zhongxi Huang Tingzhu Wang Guangbin. A New Upper Bound for the Spectral Radius of Iterative Matrices[J]. Journal of University of Electronic Science and Technology of China(Social Sciences Edition), 2002, 0(5) |
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| Authors: | Gao Zhongxi Huang Tingzhu Wang Guangbin |
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| Affiliation: | Gao Zhongxi1 Huang Tingzhu1 Wang Guangbin2 |
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| Abstract: | Jacobi and Gauss-Seidel iterations for solving large linear system bAx= are studied. Based on the concept of the doubly diagonal dominance, new upper bound for the spectral radius of Jacobi and Gauss-Seidel iterations are presented. Results obtained improve the known corresponding results and are suited to extended matrices. Finally, two numerical examples are given for illustrating advantage results in this paper. |
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| Keywords: | linear system diagonal strictly dominance iteration spectral radius |
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