| 解单调变分不等式的一种算法 |
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| 引用本文： | 张利霞,张新珍,王长钰.解单调变分不等式的一种算法[J].曲阜师范大学学报,2006,32(3):39-42. |
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| 作者姓名： | 张利霞 张新珍 王长钰 |
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| 作者单位： | [1]曲阜师范大学运筹与管理学院 [2]曲阜师范大学数学科学学院,山东省曲阜市273165 |
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| 摘 要： | 考虑了单调变分不等式的一种扰动，通过扰动变单调不等式为强单调变分不等式．利用广义的D-间隙函数提出一种无需计算函数梯度的算法，进一步证明此算法产生的每一聚点都是原变分不等式的解．
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| 关 键 词： | 单调变分不等式 强单调变分不等式 D-间隙函数 聚点 收敛性 |
| 文章编号： | 1001-5337（Z006）07-0039-04 |
| 收稿时间： | 2005-05-08 |
| 修稿时间： | 2005-05-08 |
A Method for Solving Monotone Variational Inequalities |
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| ZHANG Li-xia,ZHANG Xin-zhen,WANG Chang-yu.A Method for Solving Monotone Variational Inequalities[J].Journal of Qufu Normal University(Natural Science),2006,32(3):39-42. |
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| Authors: | ZHANG Li-xia ZHANG Xin-zhen WANG Chang-yu |
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| Institution: | 1. College of Operations Research and Management Sciences, Qufu Normal University, 276800, Rizhao; 2. College of Mathematical Science, Qufu Normal University, 273165, Qufu, Shandong, PRC |
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| Abstract: | The perturbation of monotone VIP is considered in this paper. By changing the perturbution to strongly monotone VIP, basing on the equivalent D-gap function, a derivative-free algorithm is given, and each accumulation point obtained by this algorithm is a solution to the original VIP under suitable conditions. |
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| Keywords: | monotone variational inequalities strongly monotone variational inequalities D-gap func- tion accumulation point convergence |
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