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.

References in zbMATH (referenced in 330 articles )

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  1. Belotti, Pietro; Berthold, Timo: Three ideas for a feasibility pump for nonconvex MINLP (2017)
  2. Brander, David; Gravesen, Jens; Nørbjerg, Toke Bjerge: Approximation by planar elastic curves (2017)
  3. Burachik, R.S.; Kaya, C.Y.; Rizvi, M.M.: A new scalarization technique and new algorithms to generate Pareto fronts (2017)
  4. Curtis, Frank E.; Gould, Nicholas I.M.; Robinson, Daniel P.; Toint, Philippe L.: An interior-point trust-funnel algorithm for nonlinear optimization (2017)
  5. D’Ambrosio, Claudia; Vu, Ky; Lavor, Carlile; Liberti, Leo; Maculan, Nelson: New error measures and methods for realizing protein graphs from distance data (2017)
  6. Domes, Ferenc; Goldsztejn, Alexandre: A branch and bound algorithm for quantified quadratic programming (2017)
  7. do Rosário de Pinho, Maria; Nunes Nogueira, Filipa: On application of optimal control to SEIR normalized models: pros and cons (2017)
  8. Dunning, Iain; Huchette, Joey; Lubin, Miles: JuMP: a modeling language for mathematical optimization (2017)
  9. Fernández, F.J.; Alvarez-Vázquez, L.J.; Martínez, A.; Vázquez-Méndez, M.E.: A 3D optimal control problem related to the urban heat islands (2017)
  10. Gleixner, Ambros M.; Berthold, Timo; Müller, Benjamin; Weltge, Stefan: Three enhancements for optimization-based bound tightening (2017)
  11. Göttlich, Simone; Potschka, Andreas; Ziegler, Ute: Partial outer convexification for traffic light optimization in road networks (2017)
  12. Hart, William E.; Laird, Carl D.; Watson, Jean-Paul; Woodruff, David L.; Hackebeil, Gabriel A.; Nicholson, Bethany L.; Siirola, John D.: Pyomo -- optimization modeling in Python (2017)
  13. Huang, Kuo-Ling; Mehrotra, Sanjay: Solution of monotone complementarity and general convex programming problems using a modified potential reduction interior point method (2017)
  14. Klamka, Jerzy; Maurer, Helmut; Swierniak, Andrzej: Local controllability and optimal control for a model of combined anticancer therapy with control delays (2017)
  15. Mencarelli, Luca; Sahraoui, Youcef; Liberti, Leo: A multiplicative weights update algorithm for MINLP (2017)
  16. Ringkamp, Maik; Ober-Blöbaum, Sina; Leyendecker, Sigrid: On the time transformation of mixed integer optimal control problems using a consistent fixed integer control function (2017)
  17. Silva, Cristiana J.; Maurer, Helmut; Torres, Delfim F.M.: Optimal control of a tuberculosis model with state and control delays (2017)
  18. Wang, Mengyu; Brigham, John C.: A generalized computationally efficient inverse characterization approach combining direct inversion solution initialization with gradient-based optimization (2017)
  19. Wan, Wei; Biegler, Lorenz T.: Structured regularization for barrier NLP solvers (2017)
  20. Allahverdi, Navid; Pozo, Alejandro; Zuazua, Enrique: Numerical aspects of large-time optimal control of Burgers equation (2016)

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