Karasözen, Bülent Survey of trust-region derivative free optimization methods. (English) Zbl 1170.90519 J. Ind. Manag. Optim. 3, No. 2, 321-334 (2007). Summary: In this survey article we give the basic description of the interpolation based derivative free optimization methods and their variants. We review the recent contributions dealing with maintaining the geometry of the interpolation set, the management of the trust region radius and the stopping criteria. Derivative free algorithms developed for problems with some structure, like for partially separable functions, are discussed. Two different versions of derivative free algorithms are applied for the optimization of the configuration of the geometry of a stirrer. Numerical results are presented to show the applicability of the algorithms to practical problems. Cited in 1 Document MSC: 90C56 Derivative-free methods and methods using generalized derivatives 65D05 Numerical interpolation Keywords:multi-variate interpolation; partially separable functions Software:WEDGE; DFO; ve08; GQTPAR; LANCELOT; CONDOR PDFBibTeX XMLCite \textit{B. Karasözen}, J. Ind. Manag. Optim. 3, No. 2, 321--334 (2007; Zbl 1170.90519) Full Text: DOI