caa a22 4500 463169042 CHVBK 20180406164808.0 cr unu---uuuuu 170326e20070701xx s 000 0 eng 10.1007/s10957-007-9204-2 doi (NATIONALLICENCE)springer-10.1007/s10957-007-9204-2 Pattern Search Method for Discrete L 1-Approximation [Elektronische Daten] [C. Bogani, M. Gasparo, A. Papini] We propose a pattern search method to solve a classical nonsmooth optimization problem. In a deep analogy with pattern search methods for linear constrained optimization, the set of search directions at each iteration is defined in such a way that it conforms to the local geometry of the set of points of nondifferentiability near the current iterate. This is crucial to ensure convergence. The approach presented here can be extended to wider classes of nonsmooth optimization problems. Numerical experiments seem to be encouraging. Springer Science+Business Media, LLC, 2007 Pattern search methods nationallicence Nonsmooth optimization nationallicence Linear L 1-estimation nationallicence Convex optimization nationallicence Bogani C. Dipartimento di Matematica "Ulisse Dini”, Università di Firenze, Firenze, Italy aut Gasparo M. Dipartimento di Energetica "Sergio Stecco”, Università di Firenze, Firenze, Italy aut Papini A. Dipartimento di Energetica "Sergio Stecco”, Università di Firenze, Firenze, Italy aut Journal of Optimization Theory and Applications Kluwer Academic Publishers-Plenum Publishers; http://www.springer-ny.com 134/1(2007-07-01), 47-59 0022-3239 134:1<47 2007 134 10957 https://doi.org/10.1007/s10957-007-9204-2 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s10957-007-9204-2 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Bogani C. Dipartimento di Matematica "Ulisse Dini”, Università di Firenze, Firenze, Italy aut NATIONALLICENCE 700 1- Gasparo M. Dipartimento di Energetica "Sergio Stecco”, Università di Firenze, Firenze, Italy aut NATIONALLICENCE 700 1- Papini A. Dipartimento di Energetica "Sergio Stecco”, Università di Firenze, Firenze, Italy aut NATIONALLICENCE 773 0- Journal of Optimization Theory and Applications Kluwer Academic Publishers-Plenum Publishers; http://www.springer-ny.com 134/1(2007-07-01), 47-59 0022-3239 134:1<47 2007 134 10957 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer