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Constraint qualifications and optimality conditions for optimization problems with cardinality constraints
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SYSNO ASEP 0461165 Document Type J - Journal Article R&D Document Type Journal Article Subsidiary J Článek ve WOS Title Constraint qualifications and optimality conditions for optimization problems with cardinality constraints Author(s) Červinka, Michal (UTIA-B) RID, ORCID
Kanzow, Ch. (DE)
Schwartz, A. (DE)Number of authors 3 Source Title Mathematical Programming. - : Springer - ISSN 0025-5610
Roč. 160, č. 1 (2016), s. 353-377Number of pages 25 s. Publication form Print - P Language eng - English Country NL - Netherlands Keywords Cardinality constraints ; Constraint qualifications ; Optimality conditions ; KKT conditions ; Strongly stationary points Subject RIV BA - General Mathematics R&D Projects GAP402/12/1309 GA ČR - Czech Science Foundation (CSF) GA15-00735S GA ČR - Czech Science Foundation (CSF) Institutional support UTIA-B - RVO:67985556 UT WOS 000385191700013 EID SCOPUS 84958742372 DOI 10.1007/s10107-016-0986-6 Annotation This paper considers optimization problems with cardinality constraints. Based on a recently introduced reformulation of this problem as a nonlinear program with continuous variables, we first define some problem-tailored constraint qualifications and then show how these constraint qualifications can be used to obtain suitable optimality conditions for cardinality constrained problems. Here, the (KKT-like) optimality conditions hold under much weaker assumptions than the corresponding result that is known for the somewhat related class of mathematical programs with complementarity constraints. Workplace Institute of Information Theory and Automation Contact Markéta Votavová, votavova@utia.cas.cz, Tel.: 266 052 201. Year of Publishing 2017
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