| 相容次序矩阵AOR迭代的最优参数选取 |
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| 引用本文： | 薛秋芳,畅大为,赵广意.相容次序矩阵AOR迭代的最优参数选取[J].安徽大学学报(自然科学版),2004,28(5):23-27. |
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| 作者姓名： | 薛秋芳 畅大为 赵广意 |
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| 作者单位： | 陕西师范大学,数学与信息科学学院,陕西,西安,710062 |
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| 摘 要： | 讨论当线性方程组Ax=b的系数矩阵A为(1,1)相容次序矩阵且其Jacobi特征值为纯虚数或零时,AOR迭代的收敛性问题,得到此类方程组AOR迭代的收敛区间,并在收敛范围内分段讨论,进而得到最优参数及与之相应的谱半径,用实例给出了结论的一些应用.
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| 关 键 词： | 相容次序矩阵 AOR迭代法 最优参数 谱半径 |
| 文章编号： | 1000-2162(2004)05-0023-05 |
The selection of the AOR optimum parameters for consistently ordered matrix |
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| XUE Qiu-fang,CHANG Da-wei,ZHAO Guang-yi.The selection of the AOR optimum parameters for consistently ordered matrix[J].Journal of Anhui University(Natural Sciences),2004,28(5):23-27. |
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| Authors: | XUE Qiu-fang CHANG Da-wei ZHAO Guang-yi |
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| Abstract: | A linear system Ax=b is studied, where A is (1,1) consistently ordered matrix and the eigenvalues of its Jacobi matrix are all pure imaginaries or zeroes. For its AOR iterative method, the range of convergence is given. Consequently, the optimum parameters and the optimum spectral radius are developed by discussing in a kind of partition on the range of convergence. In addition, some examples are given for illustrating the results. |
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| Keywords: | consistently ordered matrix AOR method optimum parameter spectral radius |
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