| 拟对角占优矩阵方程组迭代解法的收敛性 |
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| 引用本文： | 苏岐芳. 拟对角占优矩阵方程组迭代解法的收敛性[J]. 台州学院学报, 2005, 27(3): 8-11 |
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| 作者姓名： | 苏岐芳 |
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| 作者单位： | 台州学院,数学系,浙江,临海,317000 |
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| 摘 要： | 讨论了系数矩阵为拟对角占优矩阵的方程组迭代解法的收敛性，给出了解拟对角占优矩阵方程组Jacobi迭代法，G—S迭代法和SOR方法的收敛条件。
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| 关 键 词： | 拟对角占优矩阵 不可约矩阵 Jacobi迭代法 G—S迭代法 SOR方法 收敛 |
| 文章编号： | 1672-3708（2005）03-0008-04 |
| 收稿时间： | 2005-03-17 |
| 修稿时间： | 2005-03-17 |
The Convergence of Iteration Methods for Solving the System of Equations with Quasi-diagonally Dominant Matrix |
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| SU Qi-fang. The Convergence of Iteration Methods for Solving the System of Equations with Quasi-diagonally Dominant Matrix[J]. Journal of Taizhou University, 2005, 27(3): 8-11 |
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| Authors: | SU Qi-fang |
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| Abstract: | In this paper, we inquire into the fact that coefficient matrix is the convergence of iteration methods for solving the system of equations with quasi - diagonally dominant matrix, and set the convergent conditions for Jacobi iteration method, G - S iteration method and SOR method for solving the system of equations with quasi - diagonally dominant matrix. |
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| Keywords: | quasi - diagonally dominant matrix irreducible matrix Jacobi iteration method G - S iteration method SOR method convergence |
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