fortran
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This is the reference implementation of Powell's derivative-free optimization methods, namely COBYLA, UOBYQA, NEWUOA, BOBYQA, and LINCOA. Coded by Zaikun ZHANG (www.zhangzk.net) based on the following papers and Powell's code, with modernization, bug fixes, and improvements. [1] M. J. D. Powell, A direct search optimization method that models the objective and constraint functions by linear interpolation, In Advances in Optimization and Numerical Analysis, eds. S. Gomez and J. P. Hennart, pages 51--67, Springer Verlag, Dordrecht, Netherlands, 1994 [2] M. J. D. Powell, UOBYQA: unconstrained optimization by quadratic approximation, Math. Program., 92(B):555--582, 2002 [3] M. J. D. Powell, The NEWUOA software for unconstrained optimization without derivatives, In Large-Scale Nonlinear Optimization, eds. G. Di Pillo and M. Roma, pages 255--297, Springer, New York, US, 2006 [4] M. J. D. Powell, The BOBYQA algorithm for bound constrained optimization without derivatives, Technical Report DAMTP 2009/NA06, Department of Applied Mathematics and Theoretical Physics, Cambridge University, Cambridge, UK, 2009 [5] M. J. D. Powell, On fast trust region methods for quadratic models with linear constraints, Math. Program. Comput., 7:237--267, 2015 See the directory "original" for Powell's code. Dedicated to the late Professor M. J. D. Powell FRS (1936--2015). Started in July 2020.