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The functions depend on few variables (some hundred at most). An SLP method with estimation of gradients by linear interpolation of the individual functions on moving simplices,l_infinity exact penalty function as merit function. Inequality constraints only. M. Powell’s paper on Direct Search Methods (Source: http://plato.asu.edu)

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References in zbMATH (referenced in 38 articles )

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  1. Cartis, Coralia; Roberts, Lindon: A derivative-free Gauss-Newton method (2019)
  2. Larson, Jeffrey; Menickelly, Matt; Wild, Stefan M.: Derivative-free optimization methods (2019)
  3. Daubechies, Ingrid (ed.); Kutyniok, Gitta (ed.); Rauhut, Holger (ed.); Strohmer, Thomas (ed.): Applied harmonic analysis and data processing. Abstracts from the workshop held March 25--31, 2018 (2018)
  4. Gnandt, Christian; Callies, Rainer: CGRS -- an advanced hybrid method for global optimization of continuous functions closely coupling extended random search and conjugate gradient method (2018)
  5. Zhou, Zhe; Bai, Fusheng: An adaptive framework for costly black-box global optimization based on radial basis function interpolation (2018)
  6. Hare, W.: Compositions of convex functions and fully linear models (2017)
  7. Huang, Xiaojin; Zhu, Detong: An interior affine scaling cubic regularization algorithm for derivative-free optimization subject to bound constraints (2017)
  8. Regis, Rommel G.; Wild, Stefan M.: CONORBIT: constrained optimization by radial basis function interpolation in trust regions (2017)
  9. Wang, Jueyu; Zhu, Detong: Derivative-free restrictively preconditioned conjugate gradient path method without line search technique for solving linear equality constrained optimization (2017)
  10. Powell, M. J. D.: On fast trust region methods for quadratic models with linear constraints (2015)
  11. Yuan, Ya-xiang: Recent advances in trust region algorithms (2015)
  12. Böckle, Gebhard: Cohomological theory of crystals over function fields and applications (2014)
  13. Zhang, Zaikun: Sobolev seminorm of quadratic functions with applications to derivative-free optimization (2014)
  14. Zhou, Qinghua; Geng, Yan: Revising two trust region subproblems for unconstrained derivative free methods (2014)
  15. Bandeira, Michael Martin A. S.; Scheinberg, K.; Vicente, L. N.: Computation of sparse low degree interpolating polynomials and their application to derivative-free optimization (2012)
  16. Zhang, Hongchao; Conn, Andrew R.: On the local convergence of a derivative-free algorithm for least-squares minimization (2012)
  17. Arouxét, Ma. Belén; Echebest, Nélida; Pilotta, Elvio A.: Active-set strategy in Powell’s method for optimization without derivatives (2011)
  18. Liu, Qunfeng: Two minimal positive bases based direct search conjugate gradient methods for computationally expensive functions (2011)
  19. Begin, T.; Baynat, B.; Sourd, F.; Brandwajn, A.: A DFO technique to calibrate queueing models (2010)
  20. Cipollini, Fabrizio; Gallo, Giampiero M.: Automated variable selection in vector multiplicative error models (2010)

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