caa a22 4500 477074391 CHVBK 20180405111435.0 cr unu---uuuuu 170330e19961201xx s 000 0 eng 10.1007/BF02900883 doi (NATIONALLICENCE)springer-10.1007/BF02900883 Parallel minimization algorithms by generalized subdifferentiability [Elektronische Daten] [C. Sutti, A. Peretti] Recently a monotone generalized directional derivative has been introduced for Lipschitz functions. This concept has been applied to represent and optimize nonsmooth functions. The second application resulted relevant for parallel computing, by allowing to define minimization algorithms with high degree of inherent parallelism. The paper presents first the teoretical background, namely the notions of monotone generalized directional derivative and monotone generalized subdifferential. Then it defines the tools for the procedures, that is a necessary optimality condition and a steepest descent direction. Therefore the minimization algorithms are outlined. Successively the used architectures and the performed numerical experience are described, by listing and commenting the tested functions and the obtained results. Springer, 1996 Sutti C. Istituto di Matematica, Facoltà di Economia e Commercio, Università di Verona, Italy aut Peretti A. Istituto di Matematica, Facoltà di Economia e Commercio, Università di Verona, Italy aut Wuhan University Journal of Natural Sciences Wuhan University 1/3-4(1996-12-01), 531-540 1007-1202 1:3-4<531 1996 1 11859 https://doi.org/10.1007/BF02900883 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/BF02900883 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Sutti C. Istituto di Matematica, Facoltà di Economia e Commercio, Università di Verona, Italy aut NATIONALLICENCE 700 1- Peretti A. Istituto di Matematica, Facoltà di Economia e Commercio, Università di Verona, Italy aut NATIONALLICENCE 773 0- Wuhan University Journal of Natural Sciences Wuhan University 1/3-4(1996-12-01), 531-540 1007-1202 1:3-4<531 1996 1 11859 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer