LBFGS-B swMATH ID: 5142 Software Authors: Zhu, Ciyou; Byrd, Richard H.; Lu, Peihuang; Nocedal, Jorge Description: Algorithm 778: L-BFGS-B Fortran subroutines for large-scale bound-constrained optimization L-BFGS-B is a limited-memory algorithm for solving large nonlinear optimization problems subject to simple bounds on the variables. It is intended for problems in which information on the Hessian matrix is difficult to obtain, or for large dense problems. L-BFGS-B can also be used for unconstrained problems and in this case performs similarly to its predecessor, algorithm L-BFGS (Harwell routine VA15). The algorithm is implemened in Fortran 77. Homepage: http://www.eecs.northwestern.edu/~nocedal/lbfgsb.html Programming Languages: Fortran, Java, Matlab Keywords: large scale optimization; variable metric method; limited-memory algorithm; large nonlinear optimization problems Related Software: L-BFGS; L-BFGS-B; R; TRON; CUTEr; SciPy; Adam; GitHub; Python; Ipopt; TensorFlow; CUTE; PRMLT; Matlab; LANCELOT; DiffSharp; FEniCS; EGO; TAPENADE; KELLEY Cited in: 447 Publications Standard Articles 1 Publication describing the Software, including 1 Publication in zbMATH Year Algorithm 778: L-BFGS-B Fortran subroutines for large-scale bound-constrained optimization. Zbl 0912.65057Zhu, Ciyou; Byrd, Richard H.; Lu, Peihuang; Nocedal, Jorge 1997 all top 5 Cited by 1,088 Authors 8 Sandu, Adrian 5 Genç, Ali İ. 4 Bermúdez, José D. 4 Byrd, Richard H. 4 Darve, Eric 4 Ghosh, Sujit Kumar 4 Gómez, Héctor Wladimir 4 Kimiaei, Morteza 4 Li, Donghui 4 Mittal, Sanjay 4 Nocedal, Jorge 4 Pan, Shaohua 4 Pewsey, Arthur 4 Vercher, Enriqueta 4 Xiao, Yunhai 4 Xu, Kailai 3 Abramov, Rafail V. 3 Birgin, Ernesto G. 3 Bolfarine, Heleno 3 Brust, Johannes J. 3 Carmichael, Gregory R. 3 Chen, Jein-Shan 3 Cheng, Wanyou 3 Corberán-Vallet, Ana 3 Daescu, Dacian N. 3 Fang, Liang 3 Gain, Arun L. 3 Groenwold, Albert A. 3 He, Guoping 3 Karniadakis, George Em 3 Kolda, Tamara Gibson 3 Loukianova, Dasha 3 Martínez, José Mario 3 Mei, Yue 3 Norato, Julian A. 3 Oberai, Assad A. 3 Srinath, D. N. 3 Sun, Li 3 Wei, Zengxin 3 Zhang, Shanglong 3 Zhou, Guanglu 2 Aanonsen, Sigurd Ivar 2 Abe, Toshihiro 2 Barboza, Luis A. 2 Becker, Stephen R. 2 Bolancé, Catalina 2 Brunton, Steven L. 2 Carman, Mark J. 2 Chai, Tianfeng 2 Challet, Damien 2 Chiang, Jyun-You 2 Cioaca, Alexandru 2 Comets, Francis M. 2 Constantinescu, Emil M. 2 Curtis, Frank E. 2 Czado, Claudia 2 Dharmavaram, Sanjay 2 Dierckx, Goedele 2 Egidi, Nadaniela 2 Eydinov, Dmitry 2 Falconnet, Mikael 2 Fourestey, Gilles 2 Funke, Simon W. 2 Ganjali, Mojtaba 2 García-Rodríguez, José Antonio 2 Goegebeur, Yuri 2 Goenezen, Sevan 2 Gong, Qi 2 Guillou, Armelle 2 Herty, Michael Matthias 2 Hong, David 2 Hu, Qingjie 2 Huang, Daniel Zhengyu 2 Kang, Wei 2 Kanzow, Christian 2 Keshavarz, Hossein 2 Kirschstein, Thomas 2 Klar, Axel 2 Klemens, Fabian 2 Klug, Andreas 2 Krause, Mathias J. 2 Krislock, Nathan 2 Kutz, J. Nathan 2 Latouche, Pierre 2 Leiva, Víctor 2 Leyffer, Sven 2 Linder, Daniel F. 2 Lio, Yuh Long 2 Liu, Wanquan 2 Loukianov, Oleg 2 Lu, Lu 2 Lu, Peihuang 2 Maitra, Ranjan 2 Malick, Jérôme 2 Maponi, Pierluigi 2 Marcia, Roummel F. 2 Matias, Catherine 2 Meng, Xuhui 2 Métivier, Ludovic 2 Meyers, Johan ...and 988 more Authors all top 5 Cited in 166 Serials 28 Journal of Computational Physics 19 Computer Methods in Applied Mechanics and Engineering 17 Computational Optimization and Applications 12 Journal of Applied Statistics 10 Computational Statistics and Data Analysis 10 SIAM Journal on Optimization 10 SIAM Journal on Scientific Computing 9 Machine Learning 8 Computers & Mathematics with Applications 8 Journal of Computational and Applied Mathematics 8 Quantitative Finance 7 Biometrics 7 Computational Statistics 7 European Journal of Operational Research 6 Computers and Fluids 6 Inverse Problems 6 Journal of Optimization Theory and Applications 6 Journal of Statistical Planning and Inference 5 Journal of Multivariate Analysis 5 Mathematics and Computers in Simulation 5 Communications in Statistics. 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