A robust gradient sampling algorithm for nonsmooth, nonconvex optimization The authors describe a practical and robust algorithm for computing the local minima of a continuously differentiable function in n real variables, which is not convex and not even locally Lipschitz. The only request formulated is that the gradient of the function is easily computed where it is defined. (Source:

References in zbMATH (referenced in 89 articles , 1 standard article )

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  1. Henrion, Didier; Vyhlídal, Tomáš: Positive trigonometric polynomials for strong stability of difference equations (2012)
  2. Karmitsa, N.; Bagirov, A. M.: Limited memory discrete gradient bundle method for nonsmooth derivative-free optimization (2012)
  3. Mahdavi-Amiri, Nezam; Yousefpour, Rohollah: An effective nonsmooth optimization algorithm for locally Lipschitz functions (2012)
  4. Bagirov, A. M.; Ugon, J.: Codifferential method for minimizing nonsmooth DC functions (2011)
  5. d’Aspremont, Alexandre: Subsampling algorithms for semidefinite programming (2011)
  6. Dreves, Axel; Kanzow, Christian: Nonsmooth optimization reformulations characterizing all solutions of jointly convex generalized Nash equilibrium problems (2011)
  7. Wang, Fu-Cheng; Lin, Liu-Hsu; Chou, Ming-Cheng: Multivariable robust control for a 500W self-humidified PEMFC system (2011)
  8. Bagirov, Adil M.; Ganjehlou, Asef Nazari: A quasisecant method for minimizing nonsmooth functions (2010)
  9. Chen, Xiaojun; Xu, Fengmin; Ye, Yinyu: Lower bound theory of nonzero entries in solutions of (\ell_2-\ell_p) minimization (2010)
  10. Chen, Xiaojun; Zhou, Weijun: Smoothing nonlinear conjugate gradient method for image restoration using nonsmooth nonconvex minimization (2010)
  11. Kiwiel, K. C.: Improved convergence result for the discrete gradient and secant methods for nonsmooth optimization (2010)
  12. Vyhlídal, Tomáš; Michiels, Wim; McGahan, Paul: Synthesis of strongly stable state-derivative controllers for a time-delay system using constrained non-smooth optimization (2010)
  13. Andreani, R.; Martínez, J. M.; Martínez, L.; Yano, F. S.: Low order-value optimization and applications (2009)
  14. Apkarian, Pierre; Noll, Dominikus; Prot, Olivier: A proximity control algorithm to minimize nonsmooth and nonconvex semi-infinite maximum eigenvalue functions (2009)
  15. Cavique, L.; Luz, C. J.: A heuristic for the stability number of a graph based on convex quadratic programming and tabu search (2009)
  16. Gaudioso, M.; Gorgone, E.; Monaco, M. F.: Piecewise linear approximations in nonconvex nonsmooth optimization (2009)
  17. Horesh, L.; Haber, E.: Sensitivity computation of the (\ell_1) minimization problem and its application to dictionary design of ill-posed problems (2009)
  18. Huijberts, Henri; Michiels, Wim; Nijmeijer, Henk: Stabilizability via time-delayed feedback: an eigenvalue optimization approach (2009)
  19. Verriest, Erik I.; Michiels, Wim: Stability analysis of systems with stochastically varying delays (2009)
  20. Bagirov, Adil; Ganjehlou, Asef Nazari: An approximate subgradient algorithm for unconstrained nonsmooth, nonconvex optimization (2008)