Ipopt swMATH ID: 4808 Software Authors: Andreas Waechter, Carl Laird Description: Ipopt (Interior Point OPTimizer, pronounced eye-pea-Opt) is a software package for large-scale nonlinear optimization. It is designed to find (local) solutions of mathematical optimization problems of the from min f(x), x in R^n s.t. g_L <= g(x) <= g_U, x_L <= x <= x_U, where f(x): R^n –> R is the objective function, and g(x): R^n –> R^m are the constraint functions. The vectors g_L and g_U denote the lower and upper bounds on the constraints, and the vectors x_L and x_U are the bounds on the variables x. The functions f(x) and g(x) can be nonlinear and nonconvex, but should be twice continuously differentiable. Note that equality constraints can be formulated in the above formulation by setting the corresponding components of g_L and g_U to the same value.Ipopt is part of the COIN-OR Initiative. Homepage: https://projects.coin-or.org/Ipopt Programming Languages: C++ Operating Systems: Windows, Linux, MacOS Keywords: interior point; continuous optimization; nonlinear programming Related Software: AMPL; SNOPT; CPLEX; Bonmin; SCIP; KNITRO; SOCS; Gurobi; Matlab; BARON; CUTEr; MINLPLib; CasADi; ANTIGONE; HSL; Mosek; LANCELOT; LINDO; ipfilter; GAMS Cited in: 818 Publications all top 5 Cited by 1,492 Authors 20 Maurer, Helmut 19 Biegler, Lorenz T. 19 Trélat, Emmanuel 14 Martínez, José Mario 13 Zuazua, Enrique 12 Birgin, Ernesto G. 12 Bonami, Pierre 12 Wächter, Andreas 11 Gleixner, Ambros M. 11 Liberti, Leo 10 Curtis, Frank E. 10 Orban, Dominique 10 Sager, Sebastian 9 Diehl, Moritz Mathias 9 Kaya, C. Yalçin 9 Rao, Anil V. 9 Schenk, Olaf 9 Schmidt, Martin 9 Stoyan, Yuriĭ Grygorovych 8 Alvarez-Vázquez, Lino Jose 8 Armand, Paul 8 Berthold, Timo 8 Kirches, Christian 7 Hijazi, Hassan 7 Lee, Jon 7 Leyffer, Sven 7 Martinez, Aurea 7 Privat, Yannick 7 Sahinidis, Nikolaos V. 7 Vigerske, Stefan 6 Benoist, Joël 6 D’Ambrosio, Claudia 6 Fernández, Francisco Javier 6 Grossmann, Ignacio E. 6 Hager, William W. 6 Kronqvist, Jan 6 Lodi, Andrea 6 Mitsos, Alexander 6 Müller, Benjamin 6 Nocedal, Jorge 6 Romanova, Tatiana E. 6 Torres, Delfim Fernando Marado 6 Weichert, Dieter 5 Belotti, Pietro 5 de Pinho, Maria do Rosário 5 Júdice, Joaquim João 5 Linderoth, Jeff T. 5 Micheletti, Stefano 5 Monteiro, M. Teresa T. 5 Najman, Jaromił 5 Neumaier, Arnold 5 Omheni, Riadh 5 Perotto, Simona 5 Qiu, Songqiang 5 Quirynen, Rien 5 Rumpf, Martin 5 Serrano, Felipe 5 Ulbrich, Michael 5 Walther, Andrea 5 Zhu, Detong 4 Abarbanel, Henry D. I. 4 Andreani, Roberto 4 Anitescu, Mihai 4 Benson, Hande Y. 4 Bock, Hans Georg 4 Bongartz, Dominik 4 Cafieri, Sonia 4 Campbell, Stephen LaVern 4 Chen, Zhongwen 4 Christofides, Panagiotis D. 4 Fernandes, Edite M. G. P. 4 Fernández, Felipe 4 Humpola, Jesco 4 Lebiedz, Dirk 4 Litvinchev, Igor S. 4 Liu, Xinggao 4 Liu, Xinwei 4 Manns, Paul 4 Misener, Ruth 4 Nannicini, Giacomo 4 Nowak, Ivo 4 Ouorou, Adam 4 Pecci, Filippo 4 Petra, Cosmin G. 4 Robinson, Daniel P. 4 Schuverdt, María Laura 4 Sessa, Valentina 4 Shen, Chungen 4 Silva, Cristiana J. 4 Steinbach, Marc Christian 4 Stoianov, Ivan 4 Tortorelli, Daniel A. 4 Van Hentenryck, Pascal 4 Waltz, Richard A. 3 Alt, Walter 3 Audet, Charles 3 Bernal, David E. 3 Betts, John T. 3 Blomvall, Jörgen 3 Brust, Johannes J. ...and 1,392 more Authors all top 5 Cited in 179 Serials 54 Computational Optimization and Applications 44 Journal of Global Optimization 36 SIAM Journal on Optimization 35 Mathematical Programming. Series A. 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