eprintid: 4122 rev_number: 18 eprint_status: archive userid: 351 dir: disk0/00/00/41/22 datestamp: 2016-01-15 02:04:11 lastmod: 2021-08-27 17:14:49 status_changed: 2016-01-15 02:04:11 type: monograph metadata_visibility: show item_issues_count: 2 creators_name: Kiwiel, K. title: Free-Steering Relaxation Methods for Problems with Strictly Convex Costs and Linear Constraints ispublished: pub internal_subjects: iis_cmp internal_subjects: iis_met internal_subjects: iis_mod divisions: prog_opt abstract: We consider dual coordinate ascent methods for minimizing a strictly convex (possibly nondifferentiable) function subject to linear constraints. Such methods are useful in large-scale applications (e.g., entropy maximization, quadratic programming, network flows), because they are simple, can exploit sparsity and in certain cases are highly parallelizable. We establish their global convergence under weak conditions and a free-steering order of relaxation. Previous comparable results were restricted to special problems with separable costs and equality constraints. Our convergence framework unifies to a certain extent the approaches of Bregman, Censor and Lent, De Pierro and Iusem, and Luo and Tseng, and complements that of Bertsekas and Tseng. date: 1994-09 date_type: published publisher: WP-94-089 iiasapubid: WP-94-089 price: 10 full_text_status: public monograph_type: working_paper place_of_pub: IIASA, Laxenburg, Austria pages: 27 coversheets_dirty: FALSE fp7_type: info:eu-repo/semantics/book citation: Kiwiel, K. (1994). Free-Steering Relaxation Methods for Problems with Strictly Convex Costs and Linear Constraints. IIASA Working Paper. IIASA, Laxenburg, Austria: WP-94-089 document_url: https://pure.iiasa.ac.at/id/eprint/4122/1/WP-94-089.pdf