Non-monotone derivative-free algorithm for solving optimization models with linear constraints: extensions for solving nonlinearly constrained models via exact penalty methods
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DOI: 10.1007/s11750-020-00549-y
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- Charles Audet & Sébastien Le Digabel & Mathilde Peyrega, 2015. "Linear equalities in blackbox optimization," Computational Optimization and Applications, Springer, vol. 61(1), pages 1-23, May.
- G. Di Pillo & S. Lucidi & F. Rinaldi, 2012. "An approach to constrained global optimization based on exact penalty functions," Journal of Global Optimization, Springer, vol. 54(2), pages 251-260, October.
- I. D. Coope & C. J. Price, 2000. "Frame Based Methods for Unconstrained Optimization," Journal of Optimization Theory and Applications, Springer, vol. 107(2), pages 261-274, November.
- David Easterling & Layne Watson & Michael Madigan & Brent Castle & Michael Trosset, 2014. "Parallel deterministic and stochastic global minimization of functions with very many minima," Computational Optimization and Applications, Springer, vol. 57(2), pages 469-492, March.
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Keywords
Non monotone direct search method; 0-Order stationarity; Linear and non linear constraints; Exact penalty functions;All these keywords.
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