scholarly journals Second order optimality conditions and reformulations for nonconvex quadratically constrained quadratic programming problems

2014 ◽  
Vol 10 (3) ◽  
pp. 871-882 ◽  
Author(s):  
Ziye Shi ◽  
◽  
Qingwei Jin ◽  
Keyword(s):  
Quadratic Programming ◽  
Optimality Conditions ◽  
Second Order ◽  
Quadratically Constrained Quadratic Programming ◽  
Second Order Optimality Conditions ◽  
Quadratic Programming Problems ◽  
Quadratically Constrained

CONVEX HULL PRESENTATION OF A QUADRATICALLY CONSTRAINED SET AND ITS APPLICATION IN SOLVING QUADRATIC PROGRAMMING PROBLEMS

2009 ◽  
Vol 26 (06) ◽  
pp. 769-778 ◽  
Author(s):  
YONG XIA
Keyword(s):  
Convex Hull ◽  
Quadratic Programming ◽  
Quadratically Constrained Quadratic Programming ◽  
Quadratic Programming Problems ◽  
Quadratically Constrained

In this article, we study the convex hull presentation of a quadratically constrained set. Applying the new result, we solve a kind of quadratically constrained quadratic programming problems, which generalizes many well-studied problems.

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