Efficient solution of quadratically constrained quadratic subproblems within the mesh adaptive direct search algorithm
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Publication:1754299
DOI10.1016/j.ejor.2017.10.058zbMath1403.90618OpenAlexW2768407195WikidataQ58201008 ScholiaQ58201008MaRDI QIDQ1754299
Andrew R. Conn, Sébastien Le Digabel, Charles Audet, Nadir Amaioua
Publication date: 30 May 2018
Published in: European Journal of Operational Research (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.ejor.2017.10.058
quadratic programmingnonlinear programmingderivative-free optimizationmesh adaptive direct searchtrust-region subproblem
Numerical mathematical programming methods (65K05) Nonlinear programming (90C30) Derivative-free methods and methods using generalized derivatives (90C56) Quadratic programming (90C20)
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Uses Software
Cites Work
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- NOMAD
- Global optimization advances in mixed-integer nonlinear programming, MINLP, and constrained derivative-free optimization, CDFO
- A literature survey of benchmark functions for global optimisation problems
- The generalized trust region subproblem
- Nonsmooth optimization through mesh adaptive direct search and variable neighborhood search
- On solving trust-region and other regularised subproblems in optimization
- Test examples for nonlinear programming codes
- A note on exploiting structure when using slack variables
- A semidefinite framework for trust region subproblems with applications to large scale minimization
- Solving spread spectrum radar polyphase code design problem by tabu search and variable neighbourhood search.
- Numerical experiments with the Lancelot package (Release \(A\)) for large-scale nonlinear optimization
- A mesh adaptive direct search algorithm for multiobjective optimization
- A matrix-free augmented Lagrangian algorithm with application to large-scale structural design optimization
- Solving structural engineering design optimization problems using an artificial bee colony algorithm
- On the implementation of an interior-point filter line-search algorithm for large-scale nonlinear programming
- Multiplier and gradient methods
- Minimizing a Quadratic Over a Sphere
- Algorithm 909
- Computing a Trust Region Step
- Introduction to Derivative-Free Optimization
- Second-order conditions for an exact penalty function
- Nonlinear programming via an exact penalty function: Global analysis
- Nonlinear programming via an exact penalty function: Asymptotic analysis
- On the Solution of Large Quadratic Programming Problems with Bound Constraints
- A lower bound for the controlling parameters of the exact penalty functions
- Numerical Optimization
- Trust Region Methods
- Derivative-Free and Blackbox Optimization
- The trust region subproblem and semidefinite programming*
- Solving the Trust-Region Subproblem using the Lanczos Method
- Two-Step Algorithms for Nonlinear Optimization with Structured Applications
- Use of quadratic models with mesh-adaptive direct search for constrained black box optimization
- A Survey on Direct Search Methods for Blackbox Optimization and Their Applications
- Benchmarking Derivative-Free Optimization Algorithms
- A Progressive Barrier for Derivative-Free Nonlinear Programming
- An Analog Solution of Programming Problems
- GALAHAD, a library of thread-safe Fortran 90 packages for large-scale nonlinear optimization
- CUTEr and SifDec
- Mesh Adaptive Direct Search Algorithms for Constrained Optimization
- Non-Linear Programming Via Penalty Functions
- An Exact Potential Method for Constrained Maxima
- Constrained Optimization Using a Nondifferentiable Penalty Function