| 隐互补问题的极小化变形及其稳定点 |
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| 引用本文： | 袁泉,殷洪友.隐互补问题的极小化变形及其稳定点[J].高等学校计算数学学报,2009,31(1). |
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| 作者姓名： | 袁泉 殷洪友 |
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| 作者单位： | 南京航空航天大学数学系,南京,210016 |
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| 摘 要： | 1 引言 互补问题在最优化中有着广泛的应用,例如线性规划中的对偶问题,非线性规划中求稳定点的KKT条件以及变分不等式的求解都可以转化为互补问题,另外,某些均衡网络设计问题、信号最优化问题以及交通配置等问题也可利用互补问题来求解.
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| 关 键 词： | 互补问题 稳定点 极小化 非线性规划 最优化问题 变形 变分不等式 KKT条件 |
STATIONARY POINTS OF THE MINIMIZATION REFORMULATIONS OF IMPLICIT COMPLEMENTARITY PROBLEMS |
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| Yuan Quan,Yin Hongyou.STATIONARY POINTS OF THE MINIMIZATION REFORMULATIONS OF IMPLICIT COMPLEMENTARITY PROBLEMS[J].Numerical Mathematics A Journal of Chinese Universities,2009,31(1). |
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| Authors: | Yuan Quan Yin Hongyou |
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| Institution: | Yuan Quan Yin Hongyou (Department of Mathematics,Nanjing University of Aeronautics and Astronautics,Nanjing 210016) |
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| Abstract: | In recent years,many methods are proposed to solve complementarity problems.Among these new methods,merit functions are widely used to transfer complementarity problems into unconstrained or constrained optimization problems. In this article,we transfer implicit complementarity problem into unconstrained and constrained optimization problems by a merit function which was firstly used to solve nonlinear complementarity problems.New regularity condition is proposed which contains the existed regularity condit... |
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| Keywords: | implicit complementarity problems merit function unconstrained optimization problem constrained optimization problem regularity condition |
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