eprintid: 4541 rev_number: 22 eprint_status: archive userid: 351 dir: disk0/00/00/45/41 datestamp: 2016-01-15 02:06:11 lastmod: 2021-08-27 17:15:19 status_changed: 2016-01-15 02:06:11 type: monograph metadata_visibility: show item_issues_count: 2 creators_name: Kiwiel, K. creators_name: Rosa, C.H. creators_name: Ruszczynski, A. creators_id: 1545 creators_id: 1475 title: Decomposition via Alternating Linearization ispublished: pub internal_subjects: iis_met internal_subjects: iis_sys divisions: prog_opt abstract: A new approximate proximal point method for minimizing the sum of two convex functions is introduced. It replaces the original problem by a sequence of regularized subproblems in which the functions are alternately represented by linear models. The method updates the linear models and the prox center, as well as the prox coefficient. It is monotone in terms of the objective values and converges to a solution of the problem, if any. A dual version of the method is derived and analyzed. Applications of the methods to multistage stochastic programming problems are discussed and preliminary numerical experience presented. date: 1995-06 date_type: published publisher: WP-95-051 iiasapubid: WP-95-051 price: 10 creators_browse_id: 1541 creators_browse_id: 1544 full_text_status: public monograph_type: working_paper place_of_pub: IIASA, Laxenburg, Austria pages: 25 coversheets_dirty: FALSE fp7_type: info:eu-repo/semantics/book citation: Kiwiel, K., Rosa, C.H. , & Ruszczynski, A. (1995). Decomposition via Alternating Linearization. IIASA Working Paper. IIASA, Laxenburg, Austria: WP-95-051 document_url: https://pure.iiasa.ac.at/id/eprint/4541/1/WP-95-051.pdf