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; SCIP; Bonmin; CPLEX; KNITRO; SOCS; BARON; Gurobi; CUTEr; Matlab; MINLPLib; ANTIGONE; CasADi; LINDO; LANCELOT; ipfilter; GAMS; LOQO; Mosek Referenced in: 793 Publications all top 5 Referenced by 1,433 Authors 20 Maurer, Helmut 19 Biegler, Lorenz T. 18 Trélat, Emmanuel 14 Martínez, José Mario 12 Birgin, Ernesto G. 12 Bonami, Pierre 12 Wächter, Andreas 12 Zuazua, Enrique 11 Liberti, Leo 10 Curtis, Frank E. 10 Gleixner, Ambros M. 10 Orban, Dominique 10 Sager, Sebastian 9 Diehl, Moritz Mathias 9 Kaya, C. Yalçin 9 Rao, Anil V. 9 Schenk, Olaf 9 Stoyan, Yuriĭ Grygorovych 8 Armand, Paul 8 Berthold, Timo 8 Kirches, Christian 8 Schmidt, Martin 7 Alvarez-Vázquez, Lino Jose 7 Hijazi, Hassan 7 Leyffer, Sven 7 Privat, Yannick 7 Sahinidis, Nikolaos V. 7 Vigerske, Stefan 6 Benoist, Joël 6 D’Ambrosio, Claudia 6 Fernández, Francisco Javier 6 Hager, William W. 6 Mitsos, Alexander 6 Nocedal, Jorge 6 Torres, Delfim Fernando Marado 6 Weichert, Dieter 5 Belotti, Pietro 5 de Pinho, Maria do Rosário 5 Grossmann, Ignacio E. 5 Júdice, Joaquim João 5 Kronqvist, Jan 5 Lee, Jon 5 Linderoth, Jeff T. 5 Lodi, Andrea 5 Micheletti, Stefano 5 Monteiro, M. Teresa T. 5 Müller, Benjamin 5 Najman, Jaromił 5 Neumaier, Arnold 5 Omheni, Riadh 5 Perotto, Simona 5 Qiu, Songqiang 5 Quirynen, Rien 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 Martinez, Aurea 4 Nannicini, Giacomo 4 Nowak, Ivo 4 Ouorou, Adam 4 Pecci, Filippo 4 Petra, Cosmin G. 4 Robinson, Daniel P. 4 Romanova, Tatiana E. 4 Rumpf, Martin 4 Schuverdt, María Laura 4 Serrano, Felipe 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 Betts, John T. 3 Blomvall, Jörgen 3 Brust, Johannes J. 3 Burachik, Regina Sandra 3 Carrizosa, Emilio ...and 1,333 more Authors all top 5 Referenced in 176 Serials 54 Computational Optimization and Applications 43 Journal of Global Optimization 36 SIAM Journal on Optimization 33 Mathematical Programming. Series A. 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A 1 Biometrics 1 Control and Cybernetics ...and 76 more Serials all top 5 Referenced in 39 Fields 469 Operations research, mathematical programming (90-XX) 241 Calculus of variations and optimal control; optimization (49-XX) 232 Numerical analysis (65-XX) 105 Systems theory; control (93-XX) 63 Biology and other natural sciences (92-XX) 51 Mechanics of deformable solids (74-XX) 43 Computer science (68-XX) 42 Partial differential equations (35-XX) 40 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 28 Statistics (62-XX) 27 Fluid mechanics (76-XX) 21 Ordinary differential equations (34-XX) 19 Mechanics of particles and systems (70-XX) 13 Dynamical systems and ergodic theory (37-XX) 10 Probability theory and stochastic processes (60-XX) 8 Convex and discrete geometry (52-XX) 7 Classical thermodynamics, heat transfer (80-XX) 7 Information and communication theory, circuits (94-XX) 6 Statistical mechanics, structure of matter (82-XX) 5 Real functions (26-XX) 4 Approximations and expansions (41-XX) 4 Geophysics (86-XX) 3 Combinatorics (05-XX) 3 Differential geometry (53-XX) 3 Global analysis, analysis on manifolds (58-XX) 2 Functions of a complex variable (30-XX) 2 Functional analysis (46-XX) 2 Optics, electromagnetic theory (78-XX) 2 Quantum theory (81-XX) 1 General and overarching topics; collections (00-XX) 1 (04-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Potential theory (31-XX) 1 Difference and functional equations (39-XX) 1 Geometry (51-XX) 1 General topology (54-XX) 1 Algebraic topology (55-XX) 1 Manifolds and cell complexes (57-XX) 1 Mathematics education (97-XX) Referencing Publications by Year