| 拟对角占优矩阵AOR迭代法的收敛性 |
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| 引用本文： | 柳卫东.拟对角占优矩阵AOR迭代法的收敛性[J].武警工程学院学报,2011(6):4-6. |
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| 作者姓名： | 柳卫东 |
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| 作者单位： | 武警工程大学基础部,陕西西安710086 |
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| 摘 要： | 在求解大型线性方程组Ax=b的系数矩阵A为拟对角占优矩阵的条件下，得到了AOR迭代法的收敛性定理，并给出了数值例子且结果正确。
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| 关 键 词： | 拟对角占优矩阵 AOR迭代法 收敛 |
Convergence of the AOR Iterative Method for Quasi- Diagonally Dominant Matrix |
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| LIU Wei-dong.Convergence of the AOR Iterative Method for Quasi- Diagonally Dominant Matrix[J].Journal of Engineering College of Armed Police Force,2011(6):4-6. |
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| Authors: | LIU Wei-dong |
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| Institution: | LIU Wei-dong (Foundation Department, Engineering University of CAPF, Xi＇an 710086 ,China) |
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| Abstract: | In this paper, a sufficient condition for convergence of the AOR method is achieved when the coefficient matrix is the quasi-diagonally dominant Matrix. In addition, an example is given for illustrating the result. |
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| Keywords: | quasi-diagonally dominant matrix AOR iterative method convergence |
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