LINDOGlobal swMATH ID: 6196 Software Authors: Youdong Lin; Linus Schrage Description: LINDO Global employs branch-and-cut methods to break an nonlinearly constrained optimization problem model down into a list of subproblems. Each subproblem is analyzed and either a) is shown to not have a feasible or optimal solution, or b) an optimal solution to the subproblem is found, e.g., because the subproblem is shown to be convex, or c) the subproblem is further split into two or more subproblems which are then placed on the list. Given appropriate tolerances, after a finite, though possibly large number of steps a solution provably global optimal to tolerances is returned. Homepage: http://www.neos-server.org/neos/solvers/go:LINDOGlobal/GAMS.html Related Software: LINDO; SCIP; BARON; ANTIGONE; MINLPLib; Ipopt; Bonmin; MINLP; GloMIQO; CPLEX; GAMS; Couenne; AMPL; libMC; GLOBALLib; CONOPT; SNOPT; FEASPUMP; FilMINT; Decogo Cited in: 57 Documents Standard Articles 1 Publication describing the Software, including 1 Publication in zbMATH Year The global solver in the LINDO API. Zbl 1177.90325Lin, Youdong; Schrage, Linus 2009 all top 5 Cited by 94 Authors 17 Sahinidis, Nikolaos V. 5 Misener, Ruth 4 Berthold, Timo 4 Floudas, Christodoulos Achilleus 4 Gleixner, Ambros M. 4 Vigerske, Stefan 3 Hendrix, Eligius M. T. 3 Khajavirad, Aida 3 Nowak, Ivo 2 Ali, Montaz M. 2 Bao, Xiaowei 2 Barton, Paul I. 2 Belotti, Pietro 2 Heinz, Stefan 2 Kılınç, Mustafa R. 2 Kronqvist, Jan 2 Lodi, Andrea 2 Lundell, Andreas 2 Muts, Pavlo 2 Newby, Eric 2 Nohra, Carlos J. 2 Puranik, Yash 2 Rebennack, Steffen 2 Rios, Luis Miguel 2 Tawarmalani, Mohit 2 Zorn, Keith 1 Alkhalifa, Loay 1 Allman, Andrew 1 Aswani, Anil 1 Barkalov, Konstantin 1 Bhosekar, Atharv 1 Birgin, Ernesto G. 1 Boukouvala, Fani 1 Breitfeld, Norman 1 Cafieri, Sonia 1 Chen, Xi 1 Cozad, Alison 1 D’Ambrosio, Claudia 1 Del Pia, Alberto 1 Domes, Ferenc 1 Downward, Anthony 1 Frangioni, Antonio 1 Frank, Stephen M. 1 Füllner, Christian 1 Furini, Fabio 1 Gerard, David 1 Gergel’, Viktor Pavlovich 1 Gould, Nick I. M. 1 Grimstad, Bjarne 1 Held, Harald 1 Janes, Pete P. 1 Khan, Kamil A. 1 Khazaei, Javad 1 Kirst, Peter 1 Köppe, Matthias 1 Li, Xiang 1 Liberti, Leo 1 Lin, Youdong 1 Liu, Yanchao 1 Lobato, Rafael D. 1 Louveaux, Quentin 1 Ma, Kaiwen 1 Martínez, José Mario 1 Mitsos, Alexander 1 Mittelmann, Hans Detlef 1 Montanher, Tiago 1 Najman, Jaromił 1 Neumaier, Arnold 1 Njacheun-Njanzoua, Grégoire 1 Olfat, Matt 1 Omheni, Riadh 1 Palander, Teijo 1 Palkar, Prashant 1 Rajagopalan, Sreekanth 1 Rendell, Alistair P. 1 Rong, Gang 1 Sandnes, Anders 1 Schrage, Linus E. 1 Sharma, Meenarli 1 Stein, Oliver 1 Sysoyev, Alexander 1 Takkinen, Jari 1 Tomasgard, Asgeir 1 Traversi, Emiliano 1 Tu, Yiliu 1 Watson, Harry A. J. 1 Westerlund, Tapio 1 Wiegele, Angelika 1 Yang, Wensheng 1 Zakeri, Golbon 1 Zhang, Jian 1 Zhang, Qi 1 Zhang, Yan 1 Zhang, Yi all top 5 Cited in 16 Serials 22 Journal of Global Optimization 5 Mathematical Programming Computation 4 Optimization Methods & Software 3 Journal of Optimization Theory and Applications 3 European Journal of Operational Research 3 Mathematical Programming. Series A. Series B 3 Optimization Letters 3 Numerical Algebra, Control and Optimization 2 Computational Optimization and Applications 1 The Annals of Statistics 1 Computers & Operations Research 1 Annals of Operations Research 1 Fractals 1 Constraints 1 Optimization and Engineering 1 4OR all top 5 Cited in 8 Fields 56 Operations research, mathematical programming (90-XX) 7 Numerical analysis (65-XX) 3 Calculus of variations and optimal control; optimization (49-XX) 2 Statistics (62-XX) 1 Real functions (26-XX) 1 Probability theory and stochastic processes (60-XX) 1 Computer science (68-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX) Citations by Year