Ipopt

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 406 articles )

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  1. Berthold, Timo: A computational study of primal heuristics inside an MI(NL)P solver (2018)
  2. Cabrera G., Guillermo; Ehrgott, Matthias; Mason, Andrew J.; Raith, Andrea: A matheuristic approach to solve the multiobjective beam angle optimization problem in intensity-modulated radiation therapy (2018)
  3. Cai, W.; Singham, D.I.: A principal-agent problem with heterogeneous demand distributions for a carbon capture and storage system (2018)
  4. Carrizosa, Emilio; Guerrero, Vanesa; Romero Morales, Dolores: On mathematical optimization for the visualization of frequencies and adjacencies as rectangular maps (2018)
  5. de Pinho, Maria do Rosário; Maurer, Helmut; Zidani, Hasnaa: Optimal control of normalized SIMR models with vaccination and treatment (2018)
  6. Duarte, Belmiro P. M.; Wong, Weng Kee; Dette, Holger: Adaptive grid semidefinite programming for finding optimal designs (2018)
  7. Kirschstein, Thomas: Planning of multi-product pipelines by economic lot scheduling models (2018)
  8. Putkaradze, Vakhtang; Rogers, Stuart: Constraint control of nonholonomic mechanical systems (2018)
  9. Qiu, Songqiang; Chen, Zhongwen: An interior point method for nonlinear optimization with a quasi-tangential subproblem (2018)
  10. Rodrigues, Filipe; Silva, Cristiana J.; Torres, Delfim F.M.; Maurer, Helmut: Optimal control of a delayed HIV model (2018)
  11. Thammawichai, Mason; Kerrigan, Eric C.: Energy-efficient real-time scheduling for two-type heterogeneous multiprocessors (2018)
  12. Thäter, Markus; Chudej, Kurt; Pesch, Hans Josef: Optimal vaccination strategies for an SEIR model of infectious diseases with logistic growth (2018)
  13. Trélat, Emmanuel; Zhang, Can; Zuazua, Enrique: Steady-state and periodic exponential turnpike property for optimal control problems in Hilbert spaces (2018)
  14. Aftalion, Amandine: How to run 100 meters (2017)
  15. Armand, Paul; Omheni, Riadh: A mixed logarithmic barrier-augmented Lagrangian method for nonlinear optimization (2017)
  16. Baharev, Ali; Domes, Ferenc; Neumaier, Arnold: A robust approach for finding all well-separated solutions of sparse systems of nonlinear equations (2017)
  17. Bara, O.; Djouadi, S.M.; Day, J.D.; Lenhart, S.: Immune therapeutic strategies using optimal controls with $L^1$ and $L^2$ type objectives (2017)
  18. Belotti, Pietro; Berthold, Timo: Three ideas for a feasibility pump for nonconvex MINLP (2017)
  19. Bongartz, Dominik; Mitsos, Alexander: Deterministic global optimization of process flowsheets in a reduced space using McCormick relaxations (2017)
  20. Brander, David; Gravesen, Jens; Nørbjerg, Toke Bjerge: Approximation by planar elastic curves (2017)

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