•Comparison of three methods for the mesh adaptive direct search subproblem. •This subproblem is a quadratically constrained quadratic problem. •Two existing methods: The l1 exact penalty function and the augmented Lagrangian. •The new l1 augmented Lagrangian combines the strengths of the previous two methods. •This new method can be used outside of the derivative-free optimization context.
European Journal of Operational Research – Elsevier
Published: Jul 1, 2018
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