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半无限二次规划
引用本文:祝宝良. 半无限二次规划[J]. 华东师范大学学报(自然科学版), 1987, 0(4)
作者姓名:祝宝良
作者单位:华东师范大学数学系
摘    要:本文给出了半无限二次规划和它的对偶规划之间没有间隙的条件。还证明了具有对偶间隙的半无限二次规划可以通过扰动其目标函数来消除,且扰动后的半无限二次规划的最优值收敛于原始半无限二次规划的最优值。

关 键 词:半无限二次规划  对偶规划  回归函数  回归锥  线性扰动

Semi-infinite Quadratic Programming
ZHU BAOLIANG Depatment of Mathematics. Semi-infinite Quadratic Programming[J]. Journal of East China Normal University(Natural Science), 1987, 0(4)
Authors:ZHU BAOLIANG Depatment of Mathematics
Affiliation:ZHU BAOLIANG Depatment of Mathematics
Abstract:The conditions under which there is no duality gap between the semi-infinite quadratic programming and its dual programming are given.It is shown that the duality gap can be canceled by means of a linear perturbation on object function and the optimal value of the perturbed quadratic programming can converge to the optimal value of the original quadratic programming.
Keywords:semi-infinite quadratic programming  duality  recession function  recession cone  linear perturbation
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