UNCONSTRAINED METHODS F0R GENERALIZED NONLINEAR COMPLEMENTARITY AND VARIATIONAL INEQUALITY PROBLEMS 被引量：1

UNCONSTRAINED METHODS F0R GENERALIZED NONLINEAR COMPLEMENTARITY AND VARIATIONAL INEQUALITY PROBLEMS

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摘要 In this papert we construct unconstrained methods for the generalized nonlinearcomplementarity problem and variational inequalities. Properties of the correspon-dent unconstrained optimization problem are studied. We apply these methods tothe subproblems in trust region method, and study their interrelationships. Nu-merical results are also presented. In this papert we construct unconstrained methods for the generalized nonlinearcomplementarity problem and variational inequalities. Properties of the correspon-dent unconstrained optimization problem are studied. We apply these methods tothe subproblems in trust region method, and study their interrelationships. Nu-merical results are also presented.

作者 J.M. Peng(LSEC Institute of Computational Mathematics and Scientific/Engineering Cmputing,Chinese Academy of Sciences, Beijing, China)

出处《Journal of Computational Mathematics》 SCIE CSCD 1996年第2期99-107,共9页 计算数学（英文）

关键词 MATH UNCONSTRAINED METHODS F0R GENERALIZED NONLINEAR COMPLEMENTARITY AND VARIATIONAL INEQUALITY PROBLEMS

分类号 O178 [理学—基础数学]

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同被引文献18

1J. M. Peng.Unconstrained optimization methods for nonlinear complementarity problem. Journal of Com-putational Mathematics . 1995
2Isac G.Complementarity Problems. . 1992
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9F. Facchinei,C. Kanzow.On unconstrained and constrained stationary points of the implicit Lagrangian. Journal of Optimization Theory and Applications . 1997
10C. Geiger,C. Kanzow.On the resolution of monotone complementarity problems. Computational Optimization and Applications . 1996

引证文献1

1Hou-duo Qi (Institute of Computational Mathematics and Scientific/Engineering Computing, Academy of Mathematics and System Sciences, Chinese Academy of Sciences, Beijing, 100080, China) Yu-zhong Zhang (Institute of Operation Research, QuFu Normal Univer.A GLOBALLY DERIVTIVE-FREE DESCENT METHOD FOR NONLINEAR COMPLEMENTARITY PROBLEMS[J].Journal of Computational Mathematics,2000,18(3):251-264. 被引量：1

二级引证文献1

1刘景昭.单调半定互补问题的非单调Derivative-free算法(英文)[J].曲阜师范大学学报（自然科学版）,2010,36(2):63-66.

1刘丹红,黄涛,王萍.Smoothing Newton Algorithm for Nonlinear Complementarity Problem with a PFunction[J].Transactions of Tianjin University,2007,13(5):379-386.
2Fujian Duan Lin Fan.Superlinear Convergence of a Smooth Approximation Method for Mathematical Programs with Nonlinear Complementarity Constraints[J].Numerical Mathematics(Theory,Methods and Applications),2010,3(3):367-386.
3LIANG Xi ming (Institute of Industrial Process Control, National Laboratory of Industrial Control Technology, Zhejiang University, Hangzhou 310027, China) XU Cheng xian (School of Science, Xi’an Jiaotong University, Xi’an 710049, China) HU Jian bo (Insti.A POTENTIAL REDUCTION ALGORITHM FOR MONOTONE VARIATIONAL INEQUALITY PROBLEMS[J].Systems Science and Mathematical Sciences,2000,13(1):59-66.
4XIE Ya-jun,MA Chang-feng.A Smoothing Newton Method for the Box Constrained Variational Inequality Problems[J].Chinese Quarterly Journal of Mathematics,2012,27(1):152-158. 被引量：1
5LiFei.SENSITIVITY ANALYSIS FOR PARAMETERIZED VARIATIONAL INEQUALITY PROBLEMS[J].Journal of Systems Science & Complexity,2004,17(4):445-451.
6张立平,韩继业,徐大川.Existence theorems of solution to variational inequality problems[J].Science China Mathematics,2001,44(2):201-211. 被引量：3
7Shi Sheng ZHANG,Chi Kin CHAN,H.W.JOSEPH LEE.Modified Block Iterative Method for Solving Convex Feasibility Problem, Equilibrium Problems and Variational Inequality Problems[J].Acta Mathematica Sinica,English Series,2012,28(4):741-758.
8Mingzheng WANG Guihua LIN Yuli GAO M. Montaz ALI.SAMPLE AVERAGE APPROXIMATION METHOD FOR A CLASS OF STOCHASTIC VARIATIONAL INEQUALITY PROBLEMS[J].Journal of Systems Science & Complexity,2011,24(6):1143-1153. 被引量：7
9Gang CAI.Viscosity Iterative Algorithm for Variational Inequality Problems and Fixed Point Problems of Strict Pseudo-contractions in Uniformly Smooth Banach Spaces[J].Acta Mathematica Sinica,English Series,2015,31(9):1435-1448.
10梁昔明,钱积新.A predictor-corrector interior-point algorithmfor monotone variational inequality problems[J].Journal of Zhejiang University Science,2002,3(3):321-325. 被引量：2

Journal of Computational Mathematics

1996年第2期

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UNCONSTRAINED METHODS F0R GENERALIZED NONLINEAR COMPLEMENTARITY AND VARIATIONAL INEQUALITY PROBLEMS 被引量：1

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