A branch-and-cut algorithm for nonconvex quadratic programs with box constraints

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Papers and Publications

Gao , Solutions and optimality criteria to box constrained nonconvex minimization problems, Journal of Industrial and Management Optimization , 3 , Li , Trust-region problems with linear inequality constraints: Exact SDP relaxation, global optimality and robust optimization, Mathematical Programming , , Kojima , Second order cone programming relaxation of nonconvex quadratic optimization problems, Optimization Methods and Software , 15 , Jin , An eigenvalue decomposition based branch-and-bound algorithm for nonconvex quadratic programming problems with convex quadratic constraints, Journal of Global Optimization , 67 , Vavasis , Quadratic programming with one negative eigenvalue is NP-hard, Journal of Global Optimization , 1 , Sturm , Using SeDuMi 1.

Zhang , On cones of nonnegative quadratic functions, Mathematics of Operations Research , 28 , Feng , Congruence diagonalization of two Hermite matrices simultaneously, International Journal of Algebra , 4 , Xing , Detection of a copositive matrix over a p-th order cone, Pacific Journal of Optimization , 10 , Xing , Conic approximation to quadratic optimization with linear complementarity constraints, Computational Optimization and Applications , 66 , Zhou and Z.

Xu, A simultaneous diagonalization based SOCP relaxation for convex quadratic programs with linear complementarity constraints, Optimization Letters , Download as excel. Ziye Shi , Qingwei Jin. Second order optimality conditions and reformulations for nonconvex quadratically constrained quadratic programming problems. Yanqin Bai , Chuanhao Guo. Doubly nonnegative relaxation method for solving multiple objective quadratic programming problems.

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Computable representation of the cone of nonnegative quadratic forms over a general second-order cone and its application to completely positive programming. A perturbation approach for an inverse linear second-order cone programming. A majorized penalty approach to inverse linear second order cone programming problems.

Nguyen Van Thoai. Decomposition branch and bound algorithm for optimization problems over efficient sets.

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Second order sufficient conditions for a class of bilevel programs with lower level second-order cone programming problem. Anwa Zhou , Jinyan Fan. A semidefinite relaxation algorithm for checking completely positive separable matrices. Ye Tian , Cheng Lu. Nonconvex quadratic reformulations and solvable conditions for mixed integer quadratic programming problems. Immediate schedule adjustment and semidefinite relaxation. Duality formulations in semidefinite programming. Convergence analysis of a nonlinear Lagrangian method for nonconvex semidefinite programming with subproblem inexactly solved.

Yang Li , Liwei Zhang. A nonlinear Lagrangian method based on Log-Sigmoid function for nonconvex semidefinite programming. Xinmin Yang. On second order symmetric duality in nondifferentiable multiobjective programming.

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Global optimization of a combinatorially complex generalized pooling problem. Misener and C. Advances for the pooling problem: Modeling, global optimization, and computational studies. Applied and Computational Mathematics, 8 1 :3 — 22, Misener, C. Gounaris, and C. Mathematical modeling and global optimization of large-scale extended pooling problems with the EPA complex emissions constraints. Misener, J.

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Thompson, and C. APOGEE: Global optimization of standard, generalized, and extended pooling problems via linear and logarithmic partitioning schemes. Pham, C. Laird, and M. Convex hull discretization approach to the global optimization of pooling problems. Saif, A. Elkamel, and M.

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Global optimization of reverse osmosis network for wastewater treatment and minimization. Sherali and C. Letters, 21 1 :1 — 9, On a class of functions attaining their maximum at the vertices of a polyhedron. On the existence of polyhedral convex envelopes. Floudas and P. Pardalos, editors, Frontiers in Global Optimization, pages — Kluwer Academic Publishers, Existence and sum decomposition of vertex polyhedral convex envelopes.

Pardalos, editors, Encyclopedia of Optimization, pages — Springer Science, 2 edition,