| 求解伪单调变分不等式的两种投影算法 |
| |
| 引用本文： | 林贵华,张立卫,庞丽萍.求解伪单调变分不等式的两种投影算法[J].运筹学学报,2005,9(1):58-64. |
| |
| 作者姓名： | 林贵华 张立卫 庞丽萍 |
| |
| 作者单位： | 大连理工大学应用数学系,大连,116024 |
| |
| 基金项目： | Supported by the NSF of China 10001007
State Foundations of Ph.D Units 20020141013
research foundation of DUT (2002-03). |
| |
| 摘 要： | 本文提出了两种求解伪单调变分不等式的定步长的投影算法．这与Solodov ＆ Tseng(1996)和He(1997)的变步长策略不同．我们证明了算法的全局收敛性，并且还在一定条件下证明了算法的Q-线性收敛性．
|
| 关 键 词： | 单调变分不等式 求解 全局收敛性 证明 投影算法 线性 变步长 |
Two Projection-Type Algorithms for Solving Pseudo-Monotone Variational Inequality Problems |
| |
| Lin Guihua,ZHANG Liwei,Pang Liping.Two Projection-Type Algorithms for Solving Pseudo-Monotone Variational Inequality Problems[J].OR Transactions,2005,9(1):58-64. |
| |
| Authors: | Lin Guihua ZHANG Liwei Pang Liping |
| |
| Institution: | Lin Guihua Zhang Liwei Pang Liping Department of Applied Mathematics,Dalian University of Technology,Dalian 116024,China: |
| |
| Abstract: | In this paper, we present two projection-type algorithms for solving pseudo-monotone variational inequality problems. These algorithms use the fixed stepsize strategy, different from the ones presented by Solodov & Tseng (1996) and He (1997) using the variable stepsize strategy. It has been shown that the algorithms are globally convergent and, under some mild conditions, they are convergent Q-linearly. |
| |
| Keywords: | Operations research variational inequality pseudo-monotonicity projection-type algorithm convergence |
| 本文献已被 CNKI 维普 万方数据 等数据库收录！ |
