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We consider quadratic optimization in variables $(x,y)$ where $0\le x\le y$, and $y\in\{0,1\}^n$.
Matrix Analysis
R. Horn and C. Johnson · 1985
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A Reformulation-Linearization Technique for Solving Discrete and Continuous Nonconvex Problems
H. D. Sherali and W. P. Adams · 1997
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Perspective cuts for a class of convex 0-1 mixed integer programs
A. Frangioni and C. Gentile · 2006
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A strong conic quadratic reformulation for machine-job assignment with controllable processing times
M. S. Aktürk, A. Atamtürk, and S. Gürel · 2009
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On the copositive representation of binary and continuous nonconvex quadratic programs
S. Burer · 2009
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On non-convex quadratic programming with box constraints
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Computable representations for convex hulls of low-dimensional quadratic forms
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Perspective reformulations of mixed integer nonlinear programming with indicator variables
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Valid inequalities for the pooling problem with binary variables
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Tight polyhedral approximation for mixed-integer linear programming unit commitment formulations
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On valid inequalities for quadratic programming with continuous variables and binary indicators
H. Dong and J. Linderoth · 2013
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Convex quadratic relaxations for mixed-integer nonlinear programs in power systems
H. Hijazi, C. Coffrin, and P. Van Hentenryck · 2017
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Strong formulations for quadratic optimization with M-matrices and indicator variables
A. Atamtürk and A. Gómez · 2018
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