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二次凸规划的迭代解
引用本文:吴福祥.二次凸规划的迭代解[J].北京化工大学学报(自然科学版),1993(2).
作者姓名:吴福祥
作者单位:北京化工学院管理工程系
摘    要:线性互补问题的投影Jacobi松弛算法应用于求解不等式约束的二次规划问题,对称半正定的二次规划问题由K-T条件可以转化为P_0-矩阵的非对称线性互补问题(LCP),通过求解带扰动项的P-矩阵的非对称线性互补问题得到二次规划的最优解。最后给出一些数值结果。

关 键 词:二次凸规划  线性互补问题  投影Jacobi松弛算法

Iterative Solutions of Convex Quadratic Programming
Wu Fuxiang.Iterative Solutions of Convex Quadratic Programming[J].Journal of Beijing University of Chemical Technology,1993(2).
Authors:Wu Fuxiang
Institution:Department of Management Engineering
Abstract:Projected Jacobi relaxation algorithm for linear complementarity problem is applied to solve convex quadratic programming with inequality constraints. According to the Kuhn-Tucker condition, convex quadratic programming is changed to nonsymmetric linear complementarity problem with the P_o-matrix. The optimal solution of the convex quadratic programming is given by solving perturbed nonsymmetric linear complementarity problem. Finally, some numerical results are given.
Keywords:convex quardatic programming  linear complementarity problem  projected Jacobi relaxation algorithm
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