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 425 articles )

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  1. Amaioua, Nadir; Audet, Charles; Conn, Andrew R.; Le Digabel, Sébastien: Efficient solution of quadratically constrained quadratic subproblems within the mesh adaptive direct search algorithm (2018)
  2. Arreckx, Sylvain; Orban, Dominique: A regularized factorization-free method for equality-constrained optimization (2018)
  3. Berthold, Timo: A computational study of primal heuristics inside an MI(NL)P solver (2018)
  4. 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)
  5. Cafieri, Sonia; Cellier, Loïc; Messine, Frédéric; Omheni, Riadh: Combination of optimal control approaches for aircraft conflict avoidance via velocity regulation (2018)
  6. Cai, W.; Singham, D. I.: A principal-agent problem with heterogeneous demand distributions for a carbon capture and storage system (2018)
  7. Carrizosa, Emilio; Guerrero, Vanesa; Romero Morales, Dolores: On mathematical optimization for the visualization of frequencies and adjacencies as rectangular maps (2018)
  8. Cots, Olivier; Gergaud, Joseph; Goubinat, Damien: Direct and indirect methods in optimal control with state constraints and the climbing trajectory of an aircraft (2018)
  9. Curtis, Frank E.; Wächter, Andreas; Zavala, Victor M.: A sequential algorithm for solving nonlinear optimization problems with chance constraints (2018)
  10. de Pinho, Maria do Rosário; Maurer, Helmut; Zidani, Hasnaa: Optimal control of normalized SIMR models with vaccination and treatment (2018)
  11. Duarte, Belmiro P. M.; Wong, Weng Kee; Dette, Holger: Adaptive grid semidefinite programming for finding optimal designs (2018)
  12. Générau, François; Oudet, Edouard: Large volume minimizers of a nonlocal isoperimetric problem: theoretical and numerical approaches (2018)
  13. Kılınç, Mustafa R.; Sahinidis, Nikolaos V.: Exploiting integrality in the global optimization of mixed-integer nonlinear programming problems with BARON (2018)
  14. Kirschstein, Thomas: Planning of multi-product pipelines by economic lot scheduling models (2018)
  15. Nicholson, Bethany L.; Wan, Wei; Kameswaran, Shivakumar; Biegler, Lorenz T.: Parallel cyclic reduction strategies for linear systems that arise in dynamic optimization problems (2018)
  16. Putkaradze, Vakhtang; Rogers, Stuart: Constraint control of nonholonomic mechanical systems (2018)
  17. Qiu, Songqiang; Chen, Zhongwen: An interior point method for nonlinear optimization with a quasi-tangential subproblem (2018)
  18. Rodrigues, Filipe; Silva, Cristiana J.; Torres, Delfim F. M.; Maurer, Helmut: Optimal control of a delayed HIV model (2018)
  19. Romanova, T.; Bennell, J.; Stoyan, Y.; Pankratov, A.: Packing of concave polyhedra with continuous rotations using nonlinear optimisation (2018)
  20. Shi-Dong, Doug; Nadarajah, Siva: Approximate Hessian for accelerated convergence of aerodynamic shape optimization problems in an adjoint-based framework (2018)

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