| 求解非线性互补问题的一个下降算法(英文) |
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| 引用本文： | 王宜举,王长钰.求解非线性互补问题的一个下降算法(英文)[J].运筹学学报,2001,5(4). |
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| 作者姓名： | 王宜举 王长钰 |
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| 作者单位： | 曲阜师范大学运筹学研究所, |
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| 基金项目： | This work was supported by NSF of Shandong Province under Grant No.Q99A11 and National Natural Science Foundation under Grant No.19871049. |
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| 摘 要： | 在1]中,Solodov将非线性互补问题等价地转化成一个带非负约束的优化问题.基于这种转化形式,我们给出了一种求解非线性互补问题的下降算法.在映射为强单调时,证明了算法的全局收敛性.
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| 关 键 词： | 非线性互补问题 价值函数 强单调 |
A Descent Algorithm for Solving Nonlinear Complementarity Problem |
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| YIJU WANG CHANGYU WANG.A Descent Algorithm for Solving Nonlinear Complementarity Problem[J].OR Transactions,2001,5(4). |
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| Authors: | YIJU WANG CHANGYU WANG |
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| Abstract: | In 1], nonlinear complementarity problem was reformulated as a nonnegative constrained optimization problem by Solodov. Based on this reformulation, we present in this paper a descent algorithm for solving nonlinear complementarity problem and its global convergence is proved under the condition that the underlying mapping is strongly monotone. |
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| Keywords: | Nonlinear complementarity problem merit function strongly monotone |
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