BOX-QUACAN swMATH ID: 42607 Software Authors: Martínez, José Mario Description: BOX-QUACAN and the implementation of augmented Lagrangian algorithms for minimization with inequality constraints. BOX-QUACAN is a trust-region box-constraint optimization software developed at the Applied Mathematics Department of the University of Campinas. During the last five years, it has been used for solving many practical and academic problems with box constraints and it has been incorporated as sub-algorithm of augmented Lagrangian methods for minimization with equality constraints and bounds. In this paper its use is described in connection with augmented Lagrangian algorithms where inequality constraints are handled without the addition of slack variables. Numerical experiments comparing a modified exponential Lagrangian method and the most classical augmented Lagrangian methods are presented. Homepage: https://www.ime.unicamp.br/~martinez/anote.pdf Keywords: optimization; augmented Lagrangians; box-constrained minimization Related Software: LBFGS-B; SPG; ALGENCAN; CUTEr; CUTEst; MINQ8; LMBOPT; MINQ; CG_DESCENT; GPDT; CONV_QP; GALAHAD; LANCELOT; CUTE; KELLEY; TRON; L-BFGS; L-BFGS-B Cited in: 7 Publications Standard Articles 1 Publication describing the Software, including 1 Publication in zbMATH Year BOX-QUACAN and the implementation of augmented Lagrangian algorithms for minimization with inequality constraints. Zbl 1119.90327Martínez, José Mario 2000 all top 5 Cited by 16 Authors 2 Matioli, Luiz Carlos 2 Xiao, Yunhai 1 Azmi, Behzad 1 Birgin, Ernesto G. 1 Castillo, Rómulo A. 1 Gonzaga, Clovis C. 1 Gozzi, Erico M. 1 Hu, Qingjie 1 Kimiaei, Morteza 1 Martínez, José Mario 1 Nasri, Mostafa 1 Neumaier, Arnold 1 Resende, Mauricio G. C. 1 Silva, Ricardo Martins Abreu E. 1 Torrealba, E. M. R. 1 Zhang, Hongchuan all top 5 Cited in 7 Serials 1 Applied Mathematics and Optimization 1 Journal of Computational and Applied Mathematics 1 Journal of Global Optimization 1 Numerical Linear Algebra with Applications 1 Computational and Applied Mathematics 1 Optimization Methods & Software 1 Mathematical Programming Computation Cited in 2 Fields 7 Operations research, mathematical programming (90-XX) 3 Numerical analysis (65-XX) Citations by Year