| 定常二级迭代法与其外迭代法收敛性的比较 |
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| 引用本文： | 薛秋芳,高兴宝,刘晓光. 定常二级迭代法与其外迭代法收敛性的比较[J]. 计算机工程与应用, 2014, 50(8): 11-15 |
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| 作者姓名： | 薛秋芳 高兴宝 刘晓光 |
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| 作者单位： | 1.陕西师范大学 数学与信息科学学院，西安 7100622.西安理工大学 理学院 应用数学系，西安 710054 |
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| 基金项目： | 国家自然科学基金(No.61273311,No.61173094) |
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| 摘 要： | 研究了定常二级迭代法的收敛性，得到了定常二级迭代法与其外迭代收敛率的比较定理。结果表明外迭代的收敛速度一般快于定常二级迭代法，还给出了H-矩阵迭代法的比较结论。最后，数值例子验证了结论。
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| 关 键 词： | 定常二级迭代法 外迭代法 不可约矩阵 H-矩阵 谱半径 |
Comparison results about stationary two-stage iterative methods and outer iterative methods |
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| XUE Qiufang;GAO Xingbao;LIU Xiaoguang. Comparison results about stationary two-stage iterative methods and outer iterative methods[J]. Computer Engineering and Applications, 2014, 50(8): 11-15 |
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| Authors: | XUE Qiufang GAO Xingbao LIU Xiaoguang |
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| Affiliation: | 1.College of Mathematics and Information Science, Shaanxi Normal University, Xi’an 710062, China2.Department of Applied Mathematics, College of Science, Xi’an University of Technology, Xi’an 710054, China |
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| Abstract: | In this paper, the convergence rate of stationary two-stage iterative methods is studied. Comparison results about the convergence rate of stationary two-stage iterative methods and their outer iterative methods are obtained. It is shown that the outer iterative methods are faster than the stationary two-stage iterative methods with the mild splittings. For the splittings of H-matrices, comparison results are also gotten. Finally, the obtained results are illustrated by the example. |
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| Keywords: | stationary two-stage iterative method outer iterative method irreducible matrix H-matrix spectral radius |
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