| 参数规划中最优值函数的广义凹凸性(Ⅰ) |
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| 引用本文： | 游兆永,安和平.参数规划中最优值函数的广义凹凸性(Ⅰ)[J].西安交通大学学报,1990(3). |
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| 作者姓名： | 游兆永 安和平 |
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| 作者单位： | 西安交通大学数学系，汉中师范学院 |
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| 摘 要： | 本文主要研究了可微参数规划中最优值函数竹伪凹凸性和拟凹凸性,并利用参数规划的微分稳定性理论及数学规划的对偶理论给出了最优值函数广义凹凸性的一系列判别准则.
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| 关 键 词： | 数学规划 凸分析 对偶 最优值 |
GENERALIZED CONVEXITY AND CONCAVITY PROPERIES OF THE OPTIMAL VALUE FUNCTION IN PARAMETRIC NONLINEAR PROGRAMMING |
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| You Zhaoyong.GENERALIZED CONVEXITY AND CONCAVITY PROPERIES OF THE OPTIMAL VALUE FUNCTION IN PARAMETRIC NONLINEAR PROGRAMMING[J].Journal of Xi'an Jiaotong University,1990(3). |
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| Authors: | You Zhaoyong |
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| Institution: | You Zhaoyong (Xi'an Jiaotong University) An Heping (HanZhong Teachers' College) |
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| Abstract: | Pseudoconvexity,pscudoconcavity,quasiconvcxity and quasiconcavity propertics of the optimal value function are considered in this paper.A series of testing criterions of the generalized convexity and concavity of the optimal value function are obtained by using differential stability and dual theory mathematical programming. |
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| Keywords: | mathematical programming conyex analysis optimal value dual |
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