eprintid: 14043 rev_number: 6 eprint_status: archive userid: 5 dir: disk0/00/01/40/43 datestamp: 2016-12-01 10:38:58 lastmod: 2021-08-27 17:41:40 status_changed: 2016-12-01 10:38:58 type: book_section metadata_visibility: show item_issues_count: 1 creators_name: Lemarechal, C. creators_id: AL0228 title: Optimisation non Differentiable: Methodes de Faisceaux ispublished: pub divisions: prog_pop abstract: We define a class of descent methods to minimize a nondifferentiable function. These methods are based on a representation of the objective which combines a quadratic approximation and the usual approximation by a piecewise linear function. Hence, they realize a synthesis between quasi-Newton methods and cutting plane methods. In addition, they have the particularity of requiring no sophisticated line search. They are also presented in ref. [7] (in English). date: 2006 date_type: published publisher: Springer Berlin Heidelberg id_number: 10.1007/BFb0063614 creators_browse_id: 2110 full_text_status: none series: Lecture Notes in Mathematics volume: 704 place_of_pub: Germany pagerange: 53-61 refereed: TRUE isbn: 978-3-540-35411-6 issn: 0075-8434 book_title: Computing Methods in Applied Sciences and Engineering, 1977, I editors_name: Glowinski, R. editors_name: Lions, J.L. editors_name: Liboria, I. coversheets_dirty: FALSE fp7_type: info:eu-repo/semantics/bookPart citation: Lemarechal, C. (2006). Optimisation non Differentiable: Methodes de Faisceaux. In: Computing Methods in Applied Sciences and Engineering, 1977, I. Eds. Glowinski, R., Lions, J.L., & Liboria, I., pp. 53-61 Germany: Springer Berlin Heidelberg. ISBN 978-3-540-35411-6 10.1007/BFb0063614 .