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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; Gurobi; CasADi; SOCS; BARON; Matlab; MINLPLib; CUTEr; JuMP; HSL; ANTIGONE; Mosek; Julia; GitHub; LANCELOT
Cited in: 930 Documents
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Cited by 1,724 Authors

23 Maurer, Helmut
20 Biegler, Lorenz T.
20 Trélat, Emmanuel
14 Diehl, Moritz Mathias
14 Martínez, José Mario
13 Zuazua, Enrique
12 Birgin, Ernesto G.
12 Bonami, Pierre
12 Gleixner, Ambros M.
12 Kaya, C. Yalçin
12 Wächter, Andreas
11 Liberti, Leo
11 Sager, Sebastian
10 Curtis, Frank E.
10 Orban, Dominique
10 Schmidt, Martin
9 Rao, Anil V.
9 Schenk, Olaf
9 Stoyan, Yuriĭ Grygorovych
8 Alvarez-Vázquez, Lino Jose
8 Armand, Paul
8 Berthold, Timo
8 Kirches, Christian
8 Leyffer, Sven
8 Romanova, Tatiana E.
8 Vigerske, Stefan
7 Fernández, Francisco Javier
7 Kronqvist, Jan
7 Lee, Jon
7 Martinez, Aurea
7 Perotto, Simona
7 Privat, Yannick
7 Qiu, Songqiang
7 Sahinidis, Nikolaos V.
7 Torres, Delfim Fernando Marado
6 Benoist, Joël
6 Cafieri, Sonia
6 D’Ambrosio, Claudia
6 Grossmann, Ignacio E.
6 Hager, William W.
6 Lodi, Andrea
6 Micheletti, Stefano
6 Mitsos, Alexander
6 Müller, Benjamin
6 Nocedal, Jorge
6 Petra, Cosmin G.
6 Rumpf, Martin
6 Ulbrich, Michael
6 Weichert, Dieter
6 Zhu, Detong
5 Belotti, Pietro
5 Burachik, Regina Sandra
5 de Pinho, Maria do Rosário
5 Ferro, Nicola
5 Hijazi, Hassan
5 Júdice, Joaquim João
5 Linderoth, Jeff T.
5 Litvinchev, Igor S.
5 Liu, Xinggao
5 Liu, Xinwei
5 Monteiro, M. Teresa T.
5 Najman, Jaromił
5 Neumaier, Arnold
5 Nowak, Ivo
5 Omheni, Riadh
5 Pecci, Filippo
5 Quirynen, Rien
5 Serrano, Felipe
5 Shen, Chungen
5 Silva, Cristiana J.
5 Silva, Emílio Carlos Nelli
5 Stoianov, Ivan
5 Walther, Andrea
4 Abarbanel, Henry D. I.
4 Andreani, Roberto
4 Anitescu, Mihai
4 Benson, Hande Y.
4 Bock, Hans Georg
4 Bongartz, Dominik
4 Campbell, Stephen LaVern
4 Chen, Zhongwen
4 Christofides, Panagiotis D.
4 Conn, Andrew Roger
4 Dai, Yu-Hong
4 Fernandes, Edite M. G. P.
4 Fernández, Felipe
4 Hecht, Frédéric
4 Hendrix, Eligius M. T.
4 Humpola, Jesco
4 Lebiedz, Dirk
4 Lunz, Davin
4 Manns, Paul
4 Martinon, Pierre
4 Mason, Andrew J.
4 Misener, Ruth
4 Muts, Pavlo
4 Nannicini, Giacomo
4 Ouorou, Adam
4 Robinson, Daniel P.
4 Sagastizábal, Claudia A.
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Cited in 198 Serials

58 Computational Optimization and Applications
48 Journal of Global Optimization
37 SIAM Journal on Optimization
36 Mathematical Programming. Series A. Series B
35 Optimization and Engineering
33 Computer Methods in Applied Mechanics and Engineering
32 Journal of Optimization Theory and Applications
32 European Journal of Operational Research
31 Automatica
28 Mathematical Programming Computation
23 Optimization Methods & Software
17 SIAM Journal on Scientific Computing
14 Computers & Operations Research
14 INFORMS Journal on Computing
12 Journal of Industrial and Management Optimization
10 Optimal Control Applications & Methods
10 EURO Journal on Computational Optimization
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9 Numerical Algorithms
9 Applied Mathematical Modelling
8 Applied Mathematics and Computation
8 Journal of Computational and Applied Mathematics
7 Operations Research Letters
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7 Annals of Operations Research
7 European Journal of Control
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6 Cybernetics and Systems Analysis
5 Journal of Computational Physics
5 Journal of the Franklin Institute
5 Operations Research
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5 Mathematical Problems in Engineering
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5 Discrete and Continuous Dynamical Systems. Series B
5 Numerical Algebra, Control and Optimization
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4 Journal of Fluid Mechanics
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4 Acta Applicandae Mathematicae
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4 Vietnam Journal of Mathematics
4 Communications in Nonlinear Science and Numerical Simulation
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3 Computers & Mathematics with Applications
3 ACM Transactions on Mathematical Software
3 International Journal for Numerical Methods in Engineering
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3 Applied Numerical Mathematics
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3 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
3 SIAM Journal on Applied Mathematics
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3 International Journal of Applied Mathematics and Computer Science
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2 Artificial Intelligence
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2 OR Spectrum
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2 4OR
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2 Mathematical Modelling of Natural Phenomena
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2 SIAM/ASA Journal on Uncertainty Quantification
2 International Journal of Systems Science. Principles and Applications of Systems and Integration
2 OJMO. Open Journal of Mathematical Optimization
1 Computer Physics Communications
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Cited in 38 Fields

536 Operations research, mathematical programming (90-XX)
276 Calculus of variations and optimal control; optimization (49-XX)
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9 Convex and discrete geometry (52-XX)
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