期刊文献+

求解多面体上变分不等式的一种新的LQP算法

A New LQP Method for Solving Variational Inequality Problems on the Polyhedra
下载PDF
导出
摘要 提出一种新的LQP算法用于求解多面体上的变分不等式问题,并在较弱的假设下,证明了该算法具有全局收敛性.数值实验结果表明,该算法简单、有效,并且易于执行. A new LQP method for solving variational inequality problems on the polyhedra was presented.Under quite mild assumptions,global convergence of the method was proved.The proposed method is simple and easy to implement.
出处 《吉林大学学报(理学版)》 CAS CSCD 北大核心 2012年第3期462-466,共5页 Journal of Jilin University:Science Edition
基金 国家自然科学基金(批准号:60974082) 国家重点实验室专项基金(批准号:ISN02080003)
关键词 变分不等式问题 LQP算法 预测校正方法 variational inequality problems logarithmic-quadratic proximal method prediction-correction method
  • 相关文献

参考文献9

  • 1Harker P T, Pang J S. Finite-Dimensional Variational Inequality and Nonlinear Complementarity Problems: A Survey Review of Theory, Algorithms and Applications [ J ]. Mathematical Programming, 1990, 48 (2) : 161-220.
  • 2HAN De-ren, xu Wei, YANG Hai. Solving a Class of Variational Inequalities with Inexact Oracle Operators [ J ]. Mathematics of Operations Research, 2010, 71 (3) : 427452.
  • 3FU Xiao-ling, HE Bing-sheng. Self-adaptive Projection-Based Projection-Correction Method for Constrained Variational Inequalities [J]. Frontiers of Mathematics in China, 2010, 5( 1): 3-21.
  • 4Martinet B. Determination Approacee D'un Point Fixe D'une Application Pseudo-Contractante [ J 1. Comptes Rendus Del' Academie Des Sciences Paris, 1972, 274: 163-165.
  • 5Auslender A, Teboulle M, Ben-Tiba S. A Logarithmic-Quadratic Proximal Method for Variational Inequalities [ J ]. Computational Optimization and Applications, 1999, 12 : 31-40.
  • 6FU Xiao-ling, Abdellah Bnouhachem. An Self-adaptive LQP Method for Constrained Variational Inequalities [ J ]. Applied Mathematics and Computation, 2007, 189 (2) : 1586-1600.
  • 7HE Bing-sheng, XU Ya, YUAN Xiao-ming. A Logarithmic-Quadratic Proximal Prediction-Correction Method for Structured Monotone Variational Inequalities [ J]. Computational Optimization and Applications, 2006, 35 (1) : 19-46.
  • 8LI Min, ZHONG Wei-jun. An LQP-Based Descent Method for Structured Monotone Variational Inequalities [ J]. Journal of Computational and Applied Mathematics, 2011, 235 (5) : 1523-1530.
  • 9ZHOU Zhong, Chen A, HAN De-ren. An Extended Alternating Direction Method for Variational Inequality Problems with Linear Equality and Inequality Constraints [ J]. Applied Mathematics and Computation, 2007, 184 (2) : 769-782.

相关作者

内容加载中请稍等...

相关机构

内容加载中请稍等...

相关主题

内容加载中请稍等...

浏览历史

内容加载中请稍等...
;
使用帮助 返回顶部