国家自然科学基金(s11001006)

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A Note on Legendre–Fenchel Conjugate of the Product of Two Positive-Definite Quadratic Forms
《Journal of the Operations Research Society of China》2013年第3期333-338,共6页Yong Xia 
This research was supported by National Natural Science Foundation of China(Nos.11001006 and 91130019/A011702);by the Fundamental Research Funds for the Central Universities(No.YWF-13-A01);d by the Fund of State Key Laboratory of Software Development Environment(No.SKLSDE-2013ZX-13);The author is grateful to the two anonymous referees whose comments improved this paper.The author also thanks Prof.Yun-Bin Zhao,Prof.Henry Wolkowicz and his doctoral student Minghua Lin for valuable comments.
The Legendre–Fenchel conjugate of the product of two positive-definite quadratic forms was posted as an open question in the field of nonlinear analysis and optimization by Hiriart-Urruty[‘Question 11’in SIAM Revie...
关键词：Legendre-Fenchel conjugate Quadratic form 
New semidefinite programming relaxations for box constrained quadratic program被引量：3
《Science China Mathematics》2013年第4期877-886,共10页XIA Yong 
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.)
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 se...
关键词：box constrained quadratic program Lagrangian dual semidefinite programming D.C. optimiza- tion lower bound ZONOTOPE 
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