bibtype J - Journal Article
ARLID 0434303
utime 20240103204939.7
mtime 20141124235959.9
WOS 000346839800001
SCOPUS 84919820014
DOI 10.1137/130928637
title (primary) (eng) Full Stability of Locally Optimal Solutions in Second-Order Cone Programs
specification
page_count 33 s.
media_type P
serial
ARLID cav_un_epca*0255073
ISSN 1052-6234
title SIAM Journal on Optimization
volume_id 24
volume 4 (2014)
page_num 1581-1613
publisher
name SIAM Society for Industrial and Applied Mathematics
keyword variational analysis
keyword second-order cone programming
keyword full stability of local minimizers
keyword nondegeneracy
keyword strong regularity
keyword quadratic growth
keyword second-order subdifferentials
keyword coderivatives
author (primary)
ARLID cav_un_auth*0051326
name1 Mordukhovich
name2 B. S.
country US
author
ARLID cav_un_auth*0101173
name1 Outrata
name2 Jiří
full_dept (cz) Matematická teorie rozhodování
full_dept Department of Decision Making Theory
department (cz) MTR
department MTR
institution UTIA-B
full_dept Department of Decision Making Theory
fullinstit Ústav teorie informace a automatizace AV ČR, v. v. i.
author
ARLID cav_un_auth*0310056
name1 Sarabi
name2 E.
country US
source
url http://library.utia.cas.cz/separaty/2014/MTR/outrata-0434303.pdf
cas_special
project
project_id DP-12092508
agency Australian Research Council
country AU
ARLID cav_un_auth*0308973
project
project_id DP-110102011
agency Australian Research Council
country AU
ARLID cav_un_auth*0308975
project
project_id MAT/11109
agency Portuguese Foundation of Science and Technologies
country PT
ARLID cav_un_auth*0308974
project
project_id DMS-1007132
agency USA National Science Foundation
country US
ARLID cav_un_auth*0310057
project
project_id GAP402/12/1309
agency GA ČR
ARLID cav_un_auth*0284931
abstract (eng) The paper presents complete characterizations of Lipschitzian full stability of locally optimal solutions to second-order cone programs (SOCPs) expressed entirely in terms of their initial data. These characterizations are obtained via appropriate versions of the quadratic growth and strong second-order sufficient conditions under the corresponding constraint qualifications. We also establish close relationships between full stability of local minimizers for SOCPs and strong regularity of the associated generalized equations at nondegenerate points. Our approach is mainly based on advanced tools of second-order variational analysis and generalized differentiation.
reportyear 2015
RIV BA
num_of_auth 3
mrcbC52 4 A 4a 20231122140551.4
inst_support RVO:67985556
permalink http://hdl.handle.net/11104/0239352
cooperation
ARLID cav_un_auth*0308976
name wayne state university
country US
confidential S
mrcbT16-e MATHEMATICSAPPLIED
mrcbT16-j 2.417
mrcbT16-s 2.672
mrcbT16-4 Q1
mrcbT16-B 98.472
mrcbT16-C 92.412
mrcbT16-D Q1*
mrcbT16-E Q1*
arlyear 2014
mrcbTft \nSoubory v repozitáři: outrata-0434303.pdf
mrcbU14 84919820014 SCOPUS
mrcbU34 000346839800001 WOS
mrcbU63 cav_un_epca*0255073 SIAM Journal on Optimization 1052-6234 1095-7189 Roč. 24 č. 4 2014 1581 1613 SIAM Society for Industrial and Applied Mathematics