Nonconvex quadratically constrained quadratic programming: Best D.C. Decompositions and their SDP representations
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Publication:645557
DOI10.1007/s10898-010-9630-9zbMath1254.90151OpenAlexW2013585593WikidataQ57445456 ScholiaQ57445456MaRDI QIDQ645557
Publication date: 8 November 2011
Published in: Journal of Global Optimization (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s10898-010-9630-9
feasible solutionpiecewise linear approximationsemidefinite programnonconvex quadratically constrained quadratic programmingoptimal D.C. decomposition
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Uses Software
Cites Work
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- Branch-and-bound approaches to standard quadratic optimization problems
- Enhancing RLT relaxations via a new class of semidefinite cuts
- Convex relaxations of non-convex mixed integer quadratically constrained programs: projected formulations
- Semidefinite programming versus the reformulation-linearization technique for nonconvex quadratically constrained quadratic programming
- Global minimization of indefinite quadratic problems
- Constrained global optimization: algorithms and applications
- Quadratic programming with one negative eigenvalue is NP-hard
- A reformulation-linearization technique for solving discrete and continuous nonconvex problems
- A simplicial branch-and-bound method for solving nonconvex all-quadratic programs
- Approximating global quadratic optimization with convex quadratic constraints
- Semidefinite programming relaxation for nonconvex quadratic programs
- Solving a class of linearly constrained indefinite quadratic problems by DC algorithms
- A combined d.c. optimization--ellipsoidal branch-and-bound algorithm for solving nonconvex quadratic programming problems
- Exact solutions of some nonconvex quadratic optimization problems via SDP and SOCP relaxa\-tions
- Quadratic maximization and semidefinite relaxation
- A simplicial branch-and-bound algorithm for solving quadratically constrained quadratic programs
- Undominated d.c. decompositions of quadratic functions and applications to branch-and-bound approaches
- Global optimization of mixed-integer nonlinear programs: a theoretical and computational study
- A relaxation method for nonconvex quadratically constrained quadratic programs
- A recipe for semidefinite relaxation for \((0,1)\)-quadratic programming
- BARON: A general purpose global optimization software package
- A branch and cut algorithm for nonconvex quadratically constrained quadratic programming
- D.C. versus copositive bounds for standard QP
- Second order cone programming relaxation of nonconvex quadratic optimization problems
- Computing a Trust Region Step
- Global minimization of large-scale constrained concave quadratic problems by separable programming
- An Algorithm for Global Minimization of Linearly Constrained Concave Quadratic Functions
- Computability of global solutions to factorable nonconvex programs: Part I — Convex underestimating problems
- Improved approximation algorithms for maximum cut and satisfiability problems using semidefinite programming
- Semidefinite relaxation and nonconvex quadratic optimization
- Convex Relaxations of (0, 1)-Quadratic Programming
- Semidefinite Programming
- On copositive programming and standard quadratic optimization problems