Algorithm 829 swMATH ID: 4467 Software Authors: Gaviano, Marco; Kvasov, Dmitri E.; Lera, Daniela; Sergeyev, Yaroslav D. Description: (GKLS generator) Algorithm 829: Software for generation of classes of test functions with known local and global minima for global optimization. A procedure for generating non-differentiable, continuously differentiable, and twice continuously differentiable classes of test functions for multiextremal multidimensional box-constrained global optimization is presented. Each test class consists of 100 functions. Test functions are generated by defining a convex quadratic function systematically distorted by polynomials in order to introduce local minima. To determine a class, the user defines the following parameters: (i) problem dimension, (ii) number of local minima, (iii) value of the global minimum, (iv) radius of the attraction region of the global minimizer, (v) distance from the global minimizer to the vertex of the quadratic function. Then, all other necessary parameters are generated randomly for all 100 functions of the class. Full information about each test function including locations and values of all local minima is supplied to the user. Partial derivatives are also generated where possible. Homepage: http://dl.acm.org/citation.cfm?id=962444 Related Software: LGO; Global Optimization Toolbox For Maple; MultiMin; DIRECT; MCS; minpack; Globalizer; MrDIRECT; EGO; Matlab; simannf90; PISA; TOMLAB; KELLEY; CMA-ES; CEC 13; SIGOA; SymDIRECT; Global Optimization Test; BOBYQA Cited in: 59 Publications Standard Articles 1 Publication describing the Software, including 1 Publication in zbMATH Year Algorithm 829: Software for generation of classes of test functions with known local and global minima for global optimization. Zbl 1068.90600Gaviano, Marco; Kvasov, Dmitri E.; Lera, Daniela; Sergeyev, Yaroslav D. 2003 all top 5 Cited by 78 Authors 13 Sergeev, Yaroslav Dmitrievich 11 Gergel’, Viktor Pavlovich 10 Kvasov, Dmitriĭ Evgen’evich 8 Lera, Daniela 6 Barkalov, Konstantin 6 Tsoulos, Ioannis G. 4 Gaviano, Marco 4 Grishagin, Vladimir A. 4 Lagaris, Isaac E. 4 Strongin, Roman G. 3 Barkalov, K. A. 3 Kozinov, Evgeny 2 Israfilov, Ruslan 2 Larson, Jeffrey 2 Liu, Qunfeng 2 Mukhametzhanov, Marat S. 2 Wild, Stefan M. 2 Zeng, Jinping 2 Zheng, Cuicui 2 Žilinskas, Antanas 1 Addis, Bernardetta 1 Aguiar e Oliveira, Hime jun. 1 Ahrari, Ali 1 Ahrari, Reza 1 An, Aijun 1 Archetti, Francesco 1 Auger, Anne 1 Balasundaram, Balabhaskar 1 Beiranvand, Vahid 1 Bevzuk, Semen 1 Brockhoff, Dimo 1 Butenko, Sergiy I. 1 Candelieri, Antonio 1 Dong, Yuan 1 Fok, Ricky 1 Gergel, Alexander 1 Gimbutas, Albertas 1 Gimbutienė, Gražina 1 Goryachih, Alexey 1 Gotsman, Craig 1 Hansen, Nikolaus 1 Hare, Warren L. 1 Ingber, Lester 1 Jones, Donald R. 1 Kampas, Frank J. 1 Lampariello, Francesco 1 Lebedev, I. G. 1 Liu, Haitao 1 Liuzzi, Giampaolo 1 Locatelli, Marco 1 Long, Qiang 1 Lucet, Yves 1 Ma, Ying 1 Martins, Joaquim R. R. A. 1 Mersmann, Olaf 1 Paulavičius, Remigijus 1 Perego, Riccardo 1 Petraglia, Antonio 1 Pintér, János D. 1 Rembold Petraglia, Mariane 1 Ros, Raymond 1 Soares Machado, Maria Augusta 1 Stavrakoudis, Athanassios 1 Steri, A. M. 1 Sun, Weitao 1 Sysoyev, A. V. 1 Sysoyev, Alexander 1 Tušar, Tea 1 Wang, Xiangyu 1 Wang, Xiaofang 1 Wang, Xiaogong 1 Wu, Changzhi 1 Wu, Zhiyou 1 Xu, Shengli 1 Yang, Gang 1 Yang, Guang 1 Zhang, Zhongzhi 1 Žilinskas, Julius all top 5 Cited in 22 Serials 18 Journal of Global Optimization 5 Applied Mathematics and Computation 5 Optimization Letters 3 Computer Physics Communications 3 Optimization Methods & Software 3 Communications in Nonlinear Science and Numerical Simulation 2 Automation and Remote Control 2 Optimization and Engineering 2 Lobachevskii Journal of Mathematics 1 ACM Transactions on Mathematical Software 1 Journal of Computational and Applied Mathematics 1 Mathematics and Computers in Simulation 1 Applied Numerical Mathematics 1 Numerical Algorithms 1 Applied Mathematical Modelling 1 SIAM Journal on Optimization 1 Computational Optimization and Applications 1 Top 1 4OR 1 Mathematical Programming Computation 1 Intelligent Systems Reference Library 1 Numerical Algebra, Control and Optimization Cited in 4 Fields 57 Operations research, mathematical programming (90-XX) 19 Numerical analysis (65-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Computer science (68-XX) Citations by Year