| 一类非对称单调变分不等式的自适应交替方向法 |
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| 引用本文： | 胡伯霞.一类非对称单调变分不等式的自适应交替方向法[J].衡阳师专学报,2008(3):16-20. |
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| 作者姓名： | 胡伯霞 |
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| 作者单位： | 衡阳师范学院数学系,湖南衡阳421008 |
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| 基金项目： | 衡阳师范学院科研启动项目（2006B27） |
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| 摘 要： | 对一类非对称变分不等式问题提出了一类自适应交替方向法，研究了迭代序列的若干性质，并证明了算法的收敛性。
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| 关 键 词： | 变分不等式 自适应 交替方向法 收敛性 |
Solving a Class of Asymmetric Variational Inequalities by a Self-adaptive Alternating Direction Method |
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| HU Bo-xia.Solving a Class of Asymmetric Variational Inequalities by a Self-adaptive Alternating Direction Method[J].Journal of Hengyang Normal University,2008(3):16-20. |
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| Authors: | HU Bo-xia |
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| Institution: | HU Bo-xia (Department of Mathematics, Hengyang Normal University, Hengyang Hunan 421008,China) |
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| Abstract: | In this paper, we study a self-adaptive alternating direction method for solving a class of asymmetric monotone variational inequalities. Some properties of the iterative sequence are derived and the method is shown to preserve the same convergence properties as the original method. |
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| Keywords: | variational inequality self-adaptive alternating direction method convergence property |
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