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.

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  1. Al Sayed, Abdelkader; Bogosel, Beniamin; Henrot, Antoine; Nacry, Florent: Maximization of the Steklov eigenvalues with a diameter constraint (2021)
  2. Arvind U. Raghunathan, Devesh K. Jha, Diego Romeres: PYROBOCOP : Python-based Robotic Control & Optimization Package for Manipulation and Collision Avoidance (2021) arXiv
  3. Bollhöfer, Matthias; Schenk, Olaf; Verbosio, Fabio: A high performance level-block approximate LU factorization preconditioner algorithm (2021)
  4. Bonart, Henning; Kahle, Christian: Optimal control of sliding droplets using the contact angle distribution (2021)
  5. Dandurand, Brian C.; Kim, Kibaek; Leyffer, Sven: A bilevel approach for identifying the worst contingencies for nonconvex alternating current power systems (2021)
  6. Ding Ma, Dominique Orban, Michael A. Saunders: A Julia implementation of Algorithm NCL for constrained optimization (2021) arXiv
  7. Erfani, Shervan; Babolian, Esmail; Javadi, Shahnam: New fractional pseudospectral methods with accurate convergence rates for fractional differential equations (2021)
  8. Fernandez, Felipe; Lewicki, James P.; Tortorelli, Daniel A.: Optimal toolpath design of additive manufactured composite cylindrical structures (2021)
  9. Haeser, Gabriel; Hinder, Oliver; Ye, Yinyu: On the behavior of Lagrange multipliers in convex and nonconvex infeasible interior point methods (2021)
  10. Harwood, Stuart M.: Analysis of the alternating direction method of multipliers for nonconvex problems (2021)
  11. Hermans, Ben; Pipeleers, Goele; Patrinos, Panagiotis (Panos): A penalty method for nonlinear programs with set exclusion constraints (2021)
  12. Hinz, Jochen; Jaeschke, Andrzej; Möller, Matthias; Vuik, Cornelis: The role of PDE-based parameterization techniques in gradient-based IGA shape optimization applications (2021)
  13. Liu, Yanchao: A note on solving DiDi’s driver-order matching problem (2021)
  14. Lohéac, Jérôme; Trélat, Emmanuel; Zuazua, Enrique: Nonnegative control of finite-dimensional linear systems (2021)
  15. Manns, Paul; Kirches, Christian; Lenders, Felix: Approximation properties of sum-up rounding in the presence of vanishing constraints (2021)
  16. Mazari, Idriss; Ruiz-Balet, Domènec: A fragmentation phenomenon for a nonenergetic optimal control problem: optimization of the total population size in logistic diffusive models (2021)
  17. Reyes, Victor; Araya, Ignacio: \textscAbsTaylor: upper bounding with inner regions in nonlinear continuous global optimization problems (2021)
  18. Riedl, Wolfgang; Baier, Robert; Gerdts, Matthias: Optimization-based subdivision algorithm for reachable sets (2021)
  19. Robuschi, Nicolò; Zeile, Clemens; Sager, Sebastian; Braghin, Francesco: Multiphase mixed-integer nonlinear optimal control of hybrid electric vehicles (2021)
  20. Russ, Jonathan B.; Waisman, Haim: A novel elastoplastic topology optimization formulation for enhanced failure resistance via local ductile failure constraints and linear buckling analysis (2021)

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