变分不等式问题的新发展

被引:7
作者
邢志栋
曾云辉
刘三阳
机构
[1] 西北大学数学系!陕西西安
[2] 西安电子科技大学理学院!陕西西安
关键词
变分不等式; 投影收缩; 法方程;
D O I
暂无
中图分类号
O178 [不等式及其他];
学科分类号
摘要
在简要地介绍变分不等式的基本理论和算法的基础上 ,归纳出当前求解变分不等式的 4类主要数值方法 :投影收缩算法 ;基于间隙函数的鞍点算法 ;基于K K T方程组的简单约束优化算法和基于法方程的解法
引用
收藏
页码:648 / 652
页数:5
相关论文
共 13 条
[1]   论求解单调变分不等式的一些投影收缩算法 [J].
何炳生 .
计算数学, 1996, (01) :54-60
[2]   广义非线性互补问题的投影收缩法 [J].
孙德锋 .
计算数学, 1994, (02) :183-194
[3]   Generalized quasi-variational inequalities without continuities [J].
Cubiotti, P .
JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS, 1997, 92 (03) :477-495
[4]   Generalized quasi-variational inequalities in infinite-dimensional normed spaces [J].
Cubiotti, P .
JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS, 1997, 92 (03) :457-475
[5]   Newton and quasi-Newton methods for normal maps with polyhedral sets [J].
Han, J ;
Sun, D .
JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS, 1997, 94 (03) :659-676
[6]   Global method for monotone variational inequality problems with inequality constraints [J].
Peng, JM .
JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS, 1997, 95 (02) :419-430
[7]   AN EXTENDED DESCENT FRAMEWORK FOR VARIATIONAL-INEQUALITIES [J].
ZHU, DL ;
MARCOTTE, P .
JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS, 1994, 80 (02) :349-366
[8]   A PROJECTION AND CONTRACTION METHOD FOR A CLASS OF LINEAR COMPLEMENTARITY-PROBLEMS AND ITS APPLICATION IN CONVEX QUADRATIC-PROGRAMMING [J].
HE, BS .
APPLIED MATHEMATICS AND OPTIMIZATION, 1992, 25 (03) :247-262
[9]  
A B-differentiable equation-based, globally and locally quadratically convergent algorithm for nonlinear programs, complementarity and variational inequality problems[J] . Jong-Shi Pang.Mathematical Programming . 1991 (1)
[10]  
Nested monotony for variational inequalities over product of spaces and convergence of iterative algorithms[J] . G. Cohen,F. Chaplais.Journal of Optimization Theory and Applications . 1989 (3)