Kronecker Product Constraints with an Application to the Two-Trust-Region Subproblem
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Publication:2968177
DOI10.1137/16M1078859zbMath1357.90105MaRDI QIDQ2968177
Publication date: 10 March 2017
Published in: SIAM Journal on Optimization (Search for Journal in Brave)
semidefinite programmingnonconvex quadratic programmingsemidefinite optimizationtrust region subproblem
Semidefinite programming (90C22) Nonconvex programming, global optimization (90C26) Quadratic programming (90C20)
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Cites Work
- Unnamed Item
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- A reformulation-linearization technique for solving discrete and continuous nonconvex problems
- A semidefinite framework for trust region subproblems with applications to large scale minimization
- Narrowing the difficulty gap for the Celis-Dennis-Tapia problem
- Feasibility testing for systems of real quadratic equations
- A Note on Polynomial Solvability of the CDT Problem
- A Two-Variable Approach to the Two-Trust-Region Subproblem
- Alternative Theorems for Quadratic Inequality Systems and Global Quadratic Optimization
- Strong Duality for the CDT Subproblem: A Necessary and Sufficient Condition
- Local Minimizers of Quadratic Functions on Euclidean Balls and Spheres
- Optimality Conditions for the Minimization of a Quadratic with Two Quadratic Constraints
- New Results on Quadratic Minimization
- Trust Region Methods
- Second-Order-Cone Constraints for Extended Trust-Region Subproblems
- Copositive Relaxation Beats Lagrangian Dual Bounds in Quadratically and Linearly Constrained Quadratic Optimization Problems
- On Cones of Nonnegative Quadratic Functions
- Strong Duality in Nonconvex Quadratic Optimization with Two Quadratic Constraints