| 一类2-循环系数矩阵对称MSOR法收敛的充分条件 |
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| 引用本文： | 董瑾,;畅大为,;杨青青,;周冬梅.一类2-循环系数矩阵对称MSOR法收敛的充分条件[J].纺织高校基础科学学报,2014(2):222-226. |
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| 作者姓名： | 董瑾 ;畅大为 ;杨青青 ;周冬梅 |
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| 作者单位： | [1]陕西师范大学数学与信息科学学院,陕西西安710062; [2]成都市高新区新源高中,四川成都610017 |
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| 基金项目： | 国家自然科学基金资助项目（60671063） |
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| 摘 要： | 主要讨论A为一类2-循环系数矩阵的线性方程组AX=b的对称MSOR迭代求解问题.在矩阵A相应的Jacobi迭代矩阵特征值的平方为纯虚数,且Jacobi迭代不收敛的条件下,得到对称MSOR法收敛的充分条件,并用数值例子说明所得收敛条件的正确性.
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| 关 键 词： | 对称MSOR法 Jacobi法 收敛条件 特征值 |
The sufficient condition of symmetrical MSOR convergence for one type of 2-cyclic coefficient matrices |
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| DONG Jin;CHANG Da-wei;YANG Qing-qing;ZHOU Dong-mei.The sufficient condition of symmetrical MSOR convergence for one type of 2-cyclic coefficient matrices[J].Basic Sciences Journal of Textile Universities,2014(2):222-226. |
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| Authors: | DONG Jin;CHANG Da-wei;YANG Qing-qing;ZHOU Dong-mei |
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| Affiliation: | DONG Jin , CHANG Da-wei , YANG Qing-qing, ZHOU Dong-mei (1. College of Mathematics and Information Science, Shaanxi Normal University, Xi＇an 710062 ,China; 2. Chengdu High-tech Xinyuan School,Chengdu 610017,China) |
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| Abstract: | The symmetric MSOR iterative method for solving linear systems of AX=bis discussed where Ais a 2-cyclic coefficient matrices.Furthermore,the symmetrical MSOR convergence could be infered out and illustrated if the square of the characteristics of Jacobi iteration matrix of matrix Ais pure imaginary number,and Jacobi iteration is not convergence. |
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| Keywords: | Jacobi method symmetric MSOR method condition of convergence eigenvalue |
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