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求解一类MPEC问题的一种UV-分解方法
  • ISSN号：1000-0887
  • 期刊名称：《应用数学和力学》
  • 时间：0
  • 分类：O224[理学—运筹学与控制论;理学—数学] O221.2[理学—运筹学与控制论;理学—数学]
  • 作者机构：[1]沈阳航空工业学院理学院,沈阳 110136, [2]大连理工大学最优化研究与应用中心、应用数学系,辽宁大连 116024
  • 相关基金：国家自然科学基金资助项目（10372063;10771026;10471015）
作者： 单锋[1], 庞丽萍[2], 朱丽梅[1], 夏尊铨[2]
关键词： 非光滑优化, 非线性规划, 次微分, UV-分解, U-Lagrange函数, MPEC问题, non.smooth optimization, nonlinear programming, subdifferential, UV-decomposition, U-Lagrangian, MPEC problem
中文摘要：

给出了求解具有线性互补约束的MPEC问题的一种UV-分解方法。首先将MPEC问题化为非线性规划问题，给出一种相应的罚函数的次微分结构及其UV-分解的结果，根据所得到的结果构造一个具有超线性收敛速度的概念型算法．

英文摘要：

A UV-decomposition method for solving an MPEC problem with linear complementarity constraints is presented.First of all the problem was converted into a nonlinear programming one, and the structure of subdifferential of a corresponding penalty function and results of its UV-decomposition were given. Then a conceptual algorithm for solving this problem with a superlinear convergence rate was constructed in terms of the results obtained.

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期刊信息
  • 《应用数学和力学》
  • 中国科技核心期刊
  • 主管单位:重庆交通大学
  • 主办单位:重庆交通大学
  • 主编：钟万勰
  • 地址：重庆南岸区重庆交通大学90信箱
  • 邮编：400074
  • 邮箱：applmathmech@cqjtu.edu.cn
  • 电话：023-62652450
  • 国际标准刊号：ISSN：1000-0887
  • 国内统一刊号：ISSN：50-1060/O3
  • 邮发代号:78-21
  • 获奖情况:
  • 国际工程索引（EI）收录期刊,我国力学类核心期刊,中国期刊方阵“双效”期刊
  • 国内外数据库收录:
  • 俄罗斯文摘杂志,美国数学评论（网络版）,日本日本科学技术振兴机构数据库,美国应用力学评论,中国中国科技核心期刊,中国北大核心期刊（2004版）,中国北大核心期刊（2008版）,中国北大核心期刊（2011版）,中国北大核心期刊（2014版）,中国北大核心期刊（2000版）
  • 被引量:8965