SMOOTHING METHODS FOR COMPLEMENTARITY PROBLEMS AND THEIR APPLICATIONS : A SURVEY

SMOOTHING METHODS FOR COMPLEMENTARITY PROBLEMS AND THEIR APPLICATIONS : A SURVEY
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DOI:
10.15807/jorsj.43.32
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发表时间:
2000
影响因子:
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通讯作者:
Xiaojun Chen
Xiaojun Chen
中科院分区:
--
文献类型:
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作者:
Xiaojun Chen

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介绍了互补问题的一类光滑化方法及其应用。我们首先讨论了补充性问题的光滑化方法的特征。然后对算法进行了概述,并进行了收敛分析。最后简要介绍了变分不等式、半无限规划、约束优化问题和带平衡约束的数学规划的光滑化方法。
We present an introduction to a class of smoothing methods for complementarity problems and their applications. We first discuss the features that characterize the smoothing methods for cornplementarity problems. We then outline the algorithms and convergence analysis. We finally give a brief view of smoothing methods for variational inequalities, semi-infinite programs, constrained optimization problems and mathematical programming with equilibrium constraints.