华侨大学学报(自然科学版)2011,Vol.32Issue(1):113-117,5.
一类带有混合约束的二次半定规划及其投影收缩算法
A Class of Quadratic Semi-Definite Programming with Mixed Constraints and Its Projection and Contraction Algorithm
摘要
Abstract
In this paper, we discuss a class of quadratic semi-definite programming problem with linear inequality constraints and linear inequality constraints. The duality theories are presented. After proving the equivalence of its optimality conditions and monotonous linear variational inequalities, we present its projection and contraction algorithm. It is proved that the algorithm is global convergence after analyzing its convergence.关键词
二次半定规划/投影方程/变分不等式/投影收缩算法Key words
quadratic semi-definite programming problem/ projection equation/ variational inequalities/ projection and contraction algorithms分类
数学引用本文复制引用
田朝薇,宋海洲..一类带有混合约束的二次半定规划及其投影收缩算法[J].华侨大学学报(自然科学版),2011,32(1):113-117,5.基金项目
福建省自然科学基金资助项目(Z0511028) (Z0511028)