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求解非线性互补问题的一种新的LQP方法 被引量:1

A New LQP Method for Solving Nonlinear Complementarity Problems
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摘要 提出一个放松的非精确误差准则,给出一种新的用于求解非线性互补问题的LQP方法,并在较弱的假设下,证明了该方法具有全局收敛性.数值实验结果表明,该方法可行、有效. By proposing a relaxed inexact criterion,a new LQP method for solving nonlinear complementarity problems was presented.Under quite mild assumptions,global convergence of the method was proved.Numerical results show that the method is viable and efficient.
出处 《吉林大学学报(理学版)》 CAS CSCD 北大核心 2011年第3期381-386,共6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科研基金(批准号:ISN02080003) 中央高校基本科研业务费专项基金(批准号:JY10000970006)
关键词 非线性互补问题 LQP方法 预测校正方法 非精确误差准则 nonlinear complementarity problems logarithmic-quadratic proximal method prediction-correction method inexact criterion
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参考文献8

  • 1Ferris M C,Pang J S.Engineering and Economic Applications of Complementarity Problems[J].SIAM Review,1997,39(4):669-713.
  • 2Harker P T,Pang J S.Finite-Dimensional Variational Inequality and Nonlinear Complementarity Problems:A Survey of Theory,Algorithms and Applications[J].Mathematical Programming,1990,48 (1/2/3):161-220.
  • 3Martinet B.Determination Approacée D'un Point Fixe D'une Application Pseudo-Contractante[J].Comptes Rendus Del' Académie Des Sciences Paris,1972,274:163-165.
  • 4Auslender A,Teboulle M,Ben-Tiba S.A Logarithmic-Quadratic Proximal Method for Variational Inequalities[J].Computational Optimization and Applications,1999,12 (1/2/3):31-40.
  • 5YUAN Xiao-ming.A New Criterion for the Inexact Logarithmic-Quardratic Proximal Method and Its Derived Hybrid Methods[J].Journal of Global Optimization,2008,40(4):529-543.
  • 6XU Ya,HE Bing-sheng,YUAN Xiao-ming.A Hybrid Inexact Logarithmic-Quadratic Proximal Method for NonlinearComplementarity Problems[J].Journal of Mathematical Analysis and Applications,2006,322(1):276-287.
  • 7YUAN Xiao-ming.The Prediction-Correction Approach to Nonlinear Complementarity Problems[J].European Journal of Operational Research,2007,176(3):1357-1370.
  • 8Bnouhachem A,Noor M A.An Interior Proximal Point Algorithm for Nonlinear Complementarity Problems[J].Nonlinear Analysis:Hybrid Systems,2010,4(3):371-380.

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