| 推广的AOR方法的收敛性 |
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| 引用本文： | 张引.推广的AOR方法的收敛性[J].北京交通大学学报(自然科学版),1988(3). |
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| 作者姓名： | 张引 |
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| 作者单位： | 北方交通大学数学系 |
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| 摘 要： | 本文对系数矩阵为厄米特正定阵的线性方程组推广了AOR方法,给出了推广的AOR方法的两个收敛性定理,其收敛域比A.Hadjidimos和A.Yeyios在1980年的一篇文章中提出的相应定理的收敛域有所扩大。
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| 关 键 词： | AOR迭代法 收敛性 厄米特正定阵 |
On the Convergence of the Ceneralized AOR Method |
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| Zhang Yin.On the Convergence of the Ceneralized AOR Method[J].JOURNAL OF BEIJING JIAOTONG UNIVERSITY,1988(3). |
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| Authors: | Zhang Yin |
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| Institution: | Department of Mathematics |
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| Abstract: | In this paper, we defined the generalized AOR method and gave two convergence theorems about the generalized AOR method for systems with Hermitian positive definite coeffcient matrix. The convergent domains in these theorems are greater than those of the theorem in a paper that was written by A. Hadjidimos and A. Yeyios in 1980. |
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| Keywords: | AOR iterative method convergence Hermitian positive definite matrix |
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