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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; SOCS; Gurobi; Matlab; BARON; CUTEr; MINLPLib; CasADi; ANTIGONE; HSL; Mosek; LANCELOT; LINDO; ipfilter; GAMS
Cited in: 818 Publications
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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
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Cited in 179 Serials

54 Computational Optimization and Applications
44 Journal of Global Optimization
36 SIAM Journal on Optimization
35 Mathematical Programming. Series A. Series B
31 Journal of Optimization Theory and Applications
30 Optimization and Engineering
29 European Journal of Operational Research
27 Computer Methods in Applied Mechanics and Engineering
25 Mathematical Programming Computation
24 Automatica
17 Optimization Methods & Software
16 SIAM Journal on Scientific Computing
14 INFORMS Journal on Computing
11 Computers & Operations Research
10 Optimal Control Applications & Methods
10 Journal of Industrial and Management Optimization
8 SIAM Journal on Control and Optimization
8 Numerical Algorithms
8 EURO Journal on Computational Optimization
7 International Journal of Control
7 Applied Mathematics and Computation
7 Journal of Computational and Applied Mathematics
7 Applied Mathematical Modelling
7 Mathematical Biosciences and Engineering
6 Operations Research Letters
6 Optimization Letters
5 Operations Research
5 Computer Aided Geometric Design
5 Optimization
5 Annals of Operations Research
5 Cybernetics and Systems Analysis
5 Discrete and Continuous Dynamical Systems. Series B
4 Journal of Computational Physics
4 Journal of Fluid Mechanics
4 Mathematical Biosciences
4 Applied Mathematics and Optimization
4 Systems & Control Letters
4 International Journal of Computer Mathematics
4 Top
4 Mathematical Problems in Engineering
4 European Journal of Control
4 Multibody System Dynamics
4 Nonlinear Dynamics
4 Vietnam Journal of Mathematics
4 Mathematical Methods of Operations Research
4 Communications in Nonlinear Science and Numerical Simulation
4 Journal of Applied Mathematics and Computing
4 Numerical Algebra, Control and Optimization
4 Mathematical Control and Related Fields
3 Computers & Mathematics with Applications
3 Journal of the Franklin Institute
3 ACM Transactions on Mathematical Software
3 International Journal for Numerical Methods in Engineering
3 SIAM Journal on Numerical Analysis
3 Acta Applicandae Mathematicae
3 Applied Numerical Mathematics
3 Computational Mechanics
3 Journal of Scientific Computing
3 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
3 SIAM Journal on Mathematical Analysis
3 Discrete and Continuous Dynamical Systems
3 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations
3 International Journal of Applied Mathematics and Computer Science
3 Quantitative Finance
3 Discrete and Continuous Dynamical Systems. Series S
2 Biological Cybernetics
2 Computers and Fluids
2 Communications on Pure and Applied Mathematics
2 Journal of Mathematical Biology
2 Psychometrika
2 Mathematics of Computation
2 Bulletin of Mathematical Biology
2 Mathematics and Computers in Simulation
2 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire
2 ACM Transactions on Graphics
2 Discrete & Computational Geometry
2 Journal de Mathématiques Pures et Appliquées. Neuvième Série
2 SIAM Journal on Applied Mathematics
2 SIAM Review
2 ETNA. Electronic Transactions on Numerical Analysis
2 CEJOR. Central European Journal of Operations Research
2 Journal of Systems Science and Complexity
2 OR Spectrum
2 Structural and Multidisciplinary Optimization
2 4OR
2 GAMM-Mitteilungen
2 SIAM Journal on Imaging Sciences
2 SIAM/ASA Journal on Uncertainty Quantification
2 International Journal of Systems Science. Principles and Applications of Systems and Integration
1 Archive for Rational Mechanics and Analysis
1 Computer Physics Communications
1 Discrete Applied Mathematics
1 Inverse Problems
1 Journal of Engineering Mathematics
1 Journal of Mathematical Analysis and Applications
1 Journal of the Mechanics and Physics of Solids
1 Moscow University Mathematics Bulletin
1 Nonlinearity
1 Physics Letters. A
1 Biometrics
...and 79 more Serials
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Cited in 39 Fields

480 Operations research, mathematical programming (90-XX)
250 Calculus of variations and optimal control; optimization (49-XX)
236 Numerical analysis (65-XX)
111 Systems theory; control (93-XX)
66 Biology and other natural sciences (92-XX)
53 Mechanics of deformable solids (74-XX)
45 Computer science (68-XX)
44 Partial differential equations (35-XX)
41 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
28 Statistics (62-XX)
28 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)
11 Probability theory and stochastic processes (60-XX)
9 Convex and discrete geometry (52-XX)
8 Information and communication theory, circuits (94-XX)
7 Classical thermodynamics, heat transfer (80-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)
3 Quantum theory (81-XX)
2 Functions of a complex variable (30-XX)
2 Functional analysis (46-XX)
2 Optics, electromagnetic theory (78-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)

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