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PENNON. A generalized augmented Lagrangian method for semidefinite programming
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SYSNO ASEP 0411229 Document Type C - Proceedings Paper (int. conf.) R&D Document Type Conference Paper Title PENNON. A generalized augmented Lagrangian method for semidefinite programming Author(s) Kočvara, Michal (UTIA-B) RID, ORCID
Stingl, M. (DE)Issue data Dordrecht: Kluwer, 2003 ISBN 1-4020-7532-4 Source Title High Performance Algorithms and Software for Nonlinear Optimization / di Pillo G. ; Murli A. Pages s. 297-315 Number of pages 19 s. Action High Performance Algorithms and Software for Nonlinear Optimization Event date 30.06.2001-08.07.2001 VEvent location Erice Country IT - Italy Event type WRD Language eng - English Country NL - Netherlands Keywords semidefinite programming ; cone programming ; method of augmented Langrangians Subject RIV BA - General Mathematics R&D Projects GA201/00/0080 GA ČR - Czech Science Foundation (CSF) CEZ AV0Z1075907 - UTIA-B Annotation This article describes a generalization of the PBM method by Ben-Tal and Zibulevsky to convex semidefinite programming problems. The algorithm used is a generalized version of the Augmented Lagrangian method. We present details of this algorithm as implemented in a new code PENNON. The code can also solve second-order conic programming (SOCP) problems, as well as problems with a mixture of SDP, SOCP and NLP constraints. Results of extensive numerical tests are presented. Workplace Institute of Information Theory and Automation Contact Markéta Votavová, votavova@utia.cas.cz, Tel.: 266 052 201.
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