This Fortran software seeks the least value of a function of several variables without requiring any derivatives of the objective function. It was developed from my NEWUOA package for this calculation in the unconstrained case. The main new feature of BOBYQA, however, is that it allows lower and upper bounds on each variable. The name BOBYQA denotes Bound Optimization BY Quadratic Approximation. Please send an e-mail to me at if you would like to receive a free copy of the Fortran software. As far as I know BOBYQA is the most powerful package available at present for minimizing functions of hundreds of variables without derivatives subject to simple bound constraints. There are no restrictions on its use. I would be delighted if it becomes valuable to much research and many applications

References in zbMATH (referenced in 66 articles )

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  1. Jones, Donald R.; Martins, Joaquim R. R. A.: The DIRECT algorithm: 25 years later (2021)
  2. Bajaj, Ishan; Faruque Hasan, M. M.: Deterministic global derivative-free optimization of black-box problems with bounded Hessian (2020)
  3. Beliakov, G.; Gagolewski, M.; James, S.: DC optimization for constructing discrete Sugeno integrals and learning nonadditive measures (2020)
  4. Gumma, E. A. E.; Ali, M. Montaz; Hashim, M. H. A.: A derivative-free algorithm for non-linear optimization with linear equality constraints (2020)
  5. Hare, Warren: A discussion on variational analysis in derivative-free optimization (2020)
  6. Meyer, Knut Andreas; Ekh, Magnus; Ahlström, Johan: Anisotropic yield surfaces after large shear deformations in pearlitic steel (2020)
  7. Paradezhenko, G. V.; Melnikov, N. B.; Reser, B. I.: Numerical continuation method for nonlinear system of scalar and functional equations (2020)
  8. Sauk, Benjamin; Ploskas, Nikolaos; Sahinidis, Nikolaos: GPU parameter tuning for tall and skinny dense linear least squares problems (2020)
  9. Xi, Min; Sun, Wenyu; Chen, Jun: Survey of derivative-free optimization (2020)
  10. Bittrich, Lars; Spickenheuer, Axel; Almeida, José Humberto S.; Müller, Sascha; Kroll, Lothar; Heinrich, Gert: Optimizing variable-axial fiber-reinforced composite laminates: the direct fiber path optimization concept (2019)
  11. Cartis, Coralia; Fiala, Jan; Marteau, Benjamin; Roberts, Lindon: Improving the flexibility and robustness of model-based derivative-free optimization solvers (2019)
  12. Cartis, Coralia; Roberts, Lindon: A derivative-free Gauss-Newton method (2019)
  13. García-Palomares, Ubaldo M.; Rodríguez-Hernández, Pedro S.: Unified approach for solving box-constrained models with continuous or discrete variables by non monotone direct search methods (2019)
  14. Larson, Jeffrey; Menickelly, Matt; Wild, Stefan M.: Derivative-free optimization methods (2019)
  15. Miyaoka, Tiago Yuzo; Lenhart, Suzanne; Meyer, João F. C. A.: Optimal control of vaccination in a vector-Borne reaction -- diffusion model applied to Zika virus (2019)
  16. Sanguinetti, Guido (ed.); Huynh-Thu, Vân Anh (ed.): Gene regulatory networks. Methods and protocols (2019)
  17. Takezawa, Masahito; Matsuo, Kohei; Maekawa, Takashi: Control of lines of curvature for plate forming in shipbuilding (2019)
  18. Wang, Peng; Zhu, Detong; Song, Yufeng: Derivative-free feasible backtracking search methods for nonlinear multiobjective optimization with simple boundary constraint (2019)
  19. Abdelhamid, Talaat; Elsheikh, A. H.; Elazab, Ahmed; Sharshir, S. W.; Selima, Ehab S.; Jiang, Daijun: Simultaneous reconstruction of the time-dependent Robin coefficient and heat flux in heat conduction problems (2018)
  20. Costa, Alberto; Nannicini, Giacomo: RBFOpt: an open-source library for black-box optimization with costly function evaluations (2018)

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