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有界凸域上非凸二次整体规划问题的单纯形剖分算法
引用本文:马小华.有界凸域上非凸二次整体规划问题的单纯形剖分算法[J].西北民族学院学报,2000,21(3):17-20.
作者姓名:马小华
作者单位:西北第二民族学院预科部,宁夏银川
摘    要:把非凸二次规划问题等价地转变成一个带有调整因子u的规划问题 ,特别当调空因子u取得适当大时 ,该问题转变成一个D、C规划问题 ,进而可以通过解凸二次规划来确定原问题整体最优值的下界 由此建立了有界凸域上非凸二次整体规划问题的单纯形剖分算法 ,并对此算法的收敛性进行了分析

关 键 词:凸二次规划  非凸二次规划  整体最优化分枝定界技术  单纯形剖分算法

A Simplex Partition Algorithm for Nonconvex Global Quadratic Programming Problem on Bound Convex Field
MA Xiao,hua.A Simplex Partition Algorithm for Nonconvex Global Quadratic Programming Problem on Bound Convex Field[J].Journal of Northwest Minorities University(Natural Science ),2000,21(3):17-20.
Authors:MA Xiao  hua
Abstract:This paper turns nonconvex quadratic programming into the quadratic programming with an adjustable factor u,and when u is chosen adaptably,it is changed into a D.C.programming,and the lower bound can be determined by the solution of convex quadratic programming.According to the result,we build a simplex partition algotithm for nonconvex global quadratic programming problem on bound convex field,and give the convergent analysis of the algorithm.
Keywords:convex quadratic programming  nonconvex quadratic programming  global optimization  branch  bound technology  simplex partition
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