Smoothing Nonmonotone Barzilai-Borwein Gradient Method and Its Application to Stochastic Linear Complementarity Problems

Li Xiangli

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Smoothing Nonmonotone Barzilai-Borwein Gradient Method and Its Application to Stochastic Linear Complementarity Problems

机译：平滑非单调Barzilai-Borwein梯度方法及其在随机线性互补问题中的应用

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摘要

A new algorithm for nonsmooth box-constrained minimization is introduced. The method is a smoothing nonmonotone Barzilai-Borwein (BB) gradient method. All iterates generated by this method are feasible. We apply this method to stochastic linear complementarity problems. Numerical results show that our method is promising.

机译：提出了一种用于非光滑盒约束最小化的新算法。该方法是平滑非单调Barzilai-Borwein（BB）梯度方法。用这种方法生成的所有迭代都是可行的。我们将此方法应用于随机线性互补问题。数值结果表明，该方法是有前途的。

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《Mathematical Problems in Engineering》 |2015年第18期|425351.1-425351.6|共6页
作者
Li Xiangli;
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Guilin Univ Elect Technol, Guangxi Key Lab Automat Detecting Technol & Instr, Guangxi Coll & Univ Key Lab Data Anal & Computat, Sch Math & Comp Sci,Guangxi Key Lab Cryptog & Inf, Guilin 541004, Guangxi, Peoples R China.;

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1. Smoothing Nonmonotone Barzilai-Borwein Gradient Method and Its Application to Stochastic Linear Complementarity Problems [J] . XiangliLi Mathematical Problems in Engineering: Theory, Methods and Applications . 2015,第2期

机译：平滑非单调Barzilai-Borwein梯度方法及其在随机线性互补问题中的应用
2. Smoothing Nonmonotone Barzilai-Borwein Gradient Method and Its Application to Stochastic Linear Complementarity Problems [J] . XiangliLi Mathematical Problems in Engineering: Theory, Methods and Applications . 2015,第2期

机译：平滑非单调Barzilai-Borwein梯度方法及其在随机线性互补问题中的应用
3. Feasible smooth method based on Barzilai-Borwein method for stochastic linear complementarity problem [J] . Li X., Liu H., Sun X. Numerical algorithms . 2011,第2期

机译：基于Barzilai-Borwein方法的可行线性光滑方法，求解随机线性互补问题
4. A New Smoothing Nonmonotone Trust Region Method for Solving Nonlinear Complementarity Problems [C] . Ji Ying, Li Yijun International Conference on Computer Applications and Systems Modeling . 2013

机译：一种解决非线性互补问题的新平滑非单调信任区域方法
5. Interior-point methods for sufficient linear complementarity problems and their applications in bioinformatics [D] . Liu, Xing 2005

机译：足够线性互补问题的内点法及其在生物信息学中的应用
6. Smoothing sample average approximation method for solving stochastic second-order-cone complementarity problems [O] . Meiju Luo, Yan Zhang -1

机译：解决随机二阶锥互补问题的平滑样本平均逼近方法
7. Smoothing Projected Gradient Method for Solving Stochastic Linear Complementarity Problems (Numerical Optimization methods, theory and applications) [O] . Zhang Chao, Chen Xiaojun 2008

机译：求解随机线性互补问题的平滑投影梯度法（数值优化方法，理论和应用）

Smoothing Nonmonotone Barzilai-Borwein Gradient Method and Its Application to Stochastic Linear Complementarity Problems

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