| 解伪单调变分不等式问题的一个投影算法 |
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| 引用本文： | 刘相静,田志远,王宁,于一超.解伪单调变分不等式问题的一个投影算法[J].青岛大学学报(自然科学版),2014,27(3):1-4. |
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| 作者姓名： | 刘相静 田志远 王宁 于一超 |
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| 作者单位： | 青岛大学数学科学学院,青岛,266071 |
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| 摘 要： | 提出了一个新的解伪单调变分不等式问题的自适应投影算法,其使用了一个新的方向与步长。在伪单调的条件下证明了此算法的收敛性。数值实验表明,此算法有效。
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| 关 键 词： | 变分不等式 伪单调 投影法 收敛 |
A Projection Algorithm for Solving Quasi-monotone Variational Inequality Problems |
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| LIU Xiang-jing,TIAN Zhi-yuan,WANG Ning,YU Yi-chao.A Projection Algorithm for Solving Quasi-monotone Variational Inequality Problems[J].Journal of Qingdao University(Natural Science Edition),2014,27(3):1-4. |
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| Authors: | LIU Xiang-jing TIAN Zhi-yuan WANG Ning YU Yi-chao |
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| Institution: | LIU Xiang-j (College of ing, TIAN Zhi-yuan,WANG Ning,YU Mathematics, Qingdao University, Qingdao 266071, Yi-chao China) |
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| Abstract: | A new self-adaptive projection algorithm for the quasi-monotone variational inequality problems is studied. It is proved that the iteration sequence produced by the algorithm converges to a solution of var- iational inequality globally under the conditions that the function is quasi-monotone. Numerical experi- ments are presented which show the efficiency of the method. |
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| Keywords: | variational inequality quasi monotone projection method converge |
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