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New semidefinite programming relaxations for box constrained quadratic program 被引量:3

New semidefinite programming relaxations for box constrained quadratic program
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摘要 We establish in this paper optimal parametric Lagrangian dual models for box constrained quadratic program based on the generalized D.C.(difference between convex) optimization approach,which can be reformulated as semidefinite programming problems.As an application,we propose new valid linear constraints for rank-one relaxation. We establish in this paper optimal parametric Lagrangian dual models for box constrained quadratic program based on the generalized D.C. (difference between convex) optimization approach, which can be refor- mulated as semidefinite programming problems. As an application, we propose new valid linear constraints for rank-one relaxation.
作者 XIA Yong
出处 《Science China Mathematics》 SCIE 2013年第4期877-886,共10页 中国科学:数学(英文版)
基金 supported by National Natural Science Foundation of China(Grant Nos. 11001006 and 91130019/A011702) the Fund of State Key Laboratory of Software Development Environment (Grant No. SKLSDE-2011ZX-15.)
关键词 box constrained quadratic program Lagrangian dual semidefinite programming D.C. optimiza- tion lower bound ZONOTOPE 二次规划 半定规划松弛 拉格朗日模型 最优参数 规划问题 线性约束 通式
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