吉林大学学报(理学版)

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求解随机线性互补问题的半光滑投影牛顿算法

魏潇, 张璐   

  1. 西安电子科技大学 数学与统计学院, 西安 710126
  • 收稿日期:2014-04-02 出版日期:2015-01-26 发布日期:2015-01-19
  • 通讯作者: 魏潇 E-mail:weixiao4256@126.com

Semismooth Projected Newton Method for SolvingStochastic Linear Complementarity Problems

WEI Xiao, ZHANG Lu   

  1. School of Mathematics and Statistics, Xidian University, Xi’an 710126, China
  • Received:2014-04-02 Online:2015-01-26 Published:2015-01-19
  • Contact: WEI Xiao E-mail:weixiao4256@126.com

摘要:

考虑只有有限个随机变量的随机线性互补问题, 先将其转化为约束极小化问题, 再利用半光滑投影牛顿算法求解该极小化问题, 并给出了相应的数值实验. 结果表明所给算法有效.

关键词: 随机线性互补问题, 半光滑投影牛顿算法, 约束极小化问题, EV模型

Abstract:

A class of stochastic linear complementarity problems with finitely many realizations was considered. First we reformulated it as a constrained minimization problem. Then we presented a semismooth projected Newton method to solve the minimization problem. Finally, we gave some numerical results to demonstrate the effectiveness of our method.

Key words: stochastic linear complementarity problem, semismooth projected Newton method, constrained minimization problem, EV formulation

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