bibtype	J - Journal Article
ARLID	0461165
utime	20240103212424.6
mtime	20160722235959.9
SCOPUS	84958742372
WOS	000385191700013
DOI	10.1007/s10107-016-0986-6
title (primary) (eng)	Constraint qualifications and optimality conditions for optimization problems with cardinality constraints
specification	page_count 25 s. media_type P
serial	ARLID cav_un_epca*0257227 ISSN 0025-5610 title Mathematical Programming volume_id 160 volume 1 (2016) page_num 353-377 publisher name Springer
keyword	Cardinality constraints
keyword	Constraint qualifications
keyword	Optimality conditions
keyword	KKT conditions
keyword	Strongly stationary points
author (primary)	ARLID cav_un_auth*0220207 full_dept (cz) Matematická teorie rozhodování full_dept (eng) Department of Decision Making Theory department (cz) MTR department (eng) MTR full_dept Department of Decision Making Theory name1 Červinka name2 Michal institution UTIA-B fullinstit Ústav teorie informace a automatizace AV ČR, v. v. i.
author	ARLID cav_un_auth*0021120 name1 Kanzow name2 Ch. country DE
author	ARLID cav_un_auth*0332700 name1 Schwartz name2 A. country DE
source	url http://library.utia.cas.cz/separaty/2016/MTR/cervinka-0461165.pdf
cas_special	project ARLID cav_un_auth*0284931 project_id GAP402/12/1309 agency GA ČR project ARLID cav_un_auth*0321507 project_id GA15-00735S agency GA ČR abstract (eng) 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. RIV BA reportyear 2017 num_of_auth 3 mrcbC52 4 A hod 4ah 20231122141800.5 inst_support RVO:67985556 permalink http://hdl.handle.net/11104/0261535 cooperation ARLID cav_un_auth*0331650 name Charles University in Prague country CZ cooperation ARLID cav_un_auth*0331687 name Institute of Mathematics, University of Würzburg country DE cooperation ARLID cav_un_auth*0331688 name Graduate School of Computational Engineering, TU Darmstadt country DE mrcbC64 1 Department of Decision Making Theory UTIA-B 10102 MATHEMATICS, APPLIED confidential S mrcbC86 1 Article Computer Science Software Engineering|Operations Research Management Science|Mathematics Applied mrcbT16-e COMPUTERSCIENCESOFTWAREENGINEERING|MATHEMATICSAPPLIED|OPERATIONSRESEARCHMANAGEMENTSCIENCE mrcbT16-j 2.436 mrcbT16-s 3.158 mrcbT16-4 Q1 mrcbT16-B 97.403 mrcbT16-D Q1* mrcbT16-E Q1* arlyear 2016 mrcbTft \nSoubory v repozitáři: cervinka-0461165.pdf mrcbU14 84958742372 SCOPUS mrcbU34 000385191700013 WOS mrcbU63 cav_un_epca*0257227 Mathematical Programming 0025-5610 1436-4646 Roč. 160 č. 1 2016 353 377 Springer