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一种求解大规模稀疏二次规划的迭代法
引用本文:万仲平. 一种求解大规模稀疏二次规划的迭代法[J]. 武汉大学学报(工学版), 1997, 0(1)
作者姓名:万仲平
摘    要:
运用部分松驰乘子法将一般二次规划化成一系列带简单约束的严格凸二次规划,然后利用广义共轭梯度法来求解这些特殊的二次规划,同时得到了原问题的对偶解,并给出了算法的有关收敛性结果和数值结果

关 键 词:二次规划;乘子法;广义共轭梯度法

Iterative Method for Solving Large Scale Sparse Quadratic Programming
Wan Zhongping. Iterative Method for Solving Large Scale Sparse Quadratic Programming[J]. Engineering Journal of Wuhan University, 1997, 0(1)
Authors:Wan Zhongping
Affiliation:Department of Applied Mathematics
Abstract:
This paper transforms a general convex quadratic programming into a series of strictly convex quadratic programming with only simple constraint by means of the method of the partial relaxation multiplier. And then,the special quadratic programming is solved by generalized conjugate gradient method, thus obtaining the dual solution to the initial problem . The convergence concerning this method and numerical results are given.
Keywords:quadratic programming  multiplier method  generalized conjugate gradient method
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