TESTGO swMATH ID: 36990 Software Authors: Liuzzi, G.; Lucidi, S.; Piccialli, V. Description: DFL - A Derivative-Free Library - TESTGO: Exploiting derivative-free local searches in DIRECT-type algorithms for global optimization. In this paper we consider bound constrained global optimization problems where first-order derivatives of the objective function can be neither computed nor approximated explicitly. For the solution of such problems the DIRECT algorithm has been proposed which has a good ability to locate promising regions of the feasible domain and convergence properties based on the generation of a dense set of points over the feasible domain. However, the efficiency of DIRECT deteriorates as the dimension and the ill-conditioning of the objective function increase. To overcome these limits, we propose DIRECT-type algorithms enriched by the efficient use of derivative-free local searches combined with nonlinear transformations of the feasible domain and, possibly, of the objective function. We report extensive numerical results both on test problems from the literature and on an application in structural proteomics. Homepage: http://www.iasi.cnr.it/~liuzzi/DFL/index.php/list3/12-test-problems-for-global-optimization/13-testgo Dependencies: Fortran90 Keywords: global optimization; DIRECT-type algorithms; local minimizations Related Software: DIRMIN; SDBOX; DIRECT; DFBOX_IMPR; DFL; MultiMin; DIRDFN; MrDIRECT; NEWUOA; VTDIRECT95; OrthoMADS; EGO; CEC 13; BOBYQA; NOMAD; DFN; MCS; Global Optimization Test; TOMLAB; SNOBFIT Cited in: 10 Publications Standard Articles 1 Publication describing the Software, including 1 Publication in zbMATH Year Exploiting derivative-free local searches in DIRECT-type algorithms for global optimization. Zbl 1370.90194Liuzzi, G.; Lucidi, S.; Piccialli, V. 2016 all top 5 Cited by 27 Authors 2 Costa, M. Fernanda P. 2 Fernandes, Edite M. G. P. 2 Liuzzi, Giampaolo 2 Lucidi, Stefano 2 Piccialli, Veronica 2 Rocha, Ana Maria A. C. 1 Campana, Emilio Fortunato 1 Cartis, Coralia 1 Casella, Francesco 1 Diez, Matteo 1 Hassan, Siti Nor Habibah Binti 1 Jones, Donald R. 1 Lapucci, Matteo 1 Levato, Tommaso 1 Manno, Andrea 1 Martelli, Emanuele 1 Martins, Joaquim R. R. A. 1 Niimi, Tomohiro 1 Paulavičius, Remigijus 1 Rinaldi, Francesco 1 Roberts, Lindon 1 Sciandrone, Marco 1 Serani, Andrea 1 Sheridan-Methven, Oliver 1 Stripinis, Linas 1 Yamashita, Nobuo 1 Žilinskas, Julius all top 5 Cited in 6 Serials 2 Journal of Optimization Theory and Applications 2 Journal of Global Optimization 2 Computational Optimization and Applications 1 Optimization 1 Optimization and Engineering 1 Optimization Letters Cited in 2 Fields 9 Operations research, mathematical programming (90-XX) 5 Numerical analysis (65-XX) Citations by Year