bibtype J - Journal Article
ARLID 0439413
utime 20240103205534.6
mtime 20150122235959.9
WOS 000352220900004
SCOPUS 84925422892
DOI 10.1137/120903221
title (primary) (eng) SECOND-ORDER VARIATIONAL ANALYSIS IN CONIC PROGRAMMING WITH APPLICATIONS TO OPTIMALITY AND STABILITY
specification
page_count 26 s.
media_type P
serial
ARLID cav_un_epca*0255073
ISSN 1052-6234
title SIAM Journal on Optimization
volume_id 25
volume 1 (2015)
page_num 76-101
publisher
name SIAM Society for Industrial and Applied Mathematics
keyword variational analysis
keyword second-order theory
keyword conic programming
keyword generalized differentiation
keyword optimality conditions
keyword isolated calmness
keyword tilt stability
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*0274310
name1 Ramírez
name2 H. C.
country CL
source
url http://library.utia.cas.cz/separaty/2015/MTR/outrata-0439413.pdf
cas_special
project
project_id DP-110102011
agency Australian Research Council
country AU
ARLID cav_un_auth*0308975
project
project_id DMS-1007132
agency USA National Science Foundation
country US
ARLID cav_un_auth*0310057
project
project_id DP-12092508
agency Australian Reseach Council
country AU
ARLID cav_un_auth*0308973
project
project_id MAT/11109
agency Portuguese Foundation of Science and Technologies
country PT
ARLID cav_un_auth*0308974
project
project_id 1110888
agency FONDECYT Project
country CL
ARLID cav_un_auth*0312840
project
project_id BASAL Project Centro de Modelamiento Matematico
agency Universidad de Chile
country CL
ARLID cav_un_auth*0312841
project
project_id GAP201/12/0671
agency GA ČR
country CZ
ARLID cav_un_auth*0289475
abstract (eng) This paper is devoted to the study of a broad class of problems in conic programming modeled via parameter-dependent generalized equations. In this framework we develop a secondorder generalized differential approach of variational analysis to calculate appropriate derivatives and coderivatives of the corresponding solution maps. These developments allow us to resolve some important issues related to conic programming. They include verifiable conditions for isolated calmness of the considered solution maps, sharp necessary optimality conditions for a class of mathematical programs with equilibrium constraints, and characterizations of tilt-stable local minimizers for cone-constrained problems. The main results obtained in the general conic programming setting are specified for and illustrated by the second-order cone programming.
reportyear 2016
RIV BA
num_of_auth 3
mrcbC52 4 A hod 4ah 20231122140758.4
inst_support RVO:67985556
permalink http://hdl.handle.net/11104/0243120
cooperation
ARLID cav_un_auth*0308976
name wayne state university
country US
cooperation
ARLID cav_un_auth*0312842
institution CL
name universidad de chile
country CL
mrcbC64 1 Department of Decision Making Theory UTIA-B 10102 MATHEMATICS, APPLIED
confidential S
mrcbT16-e MATHEMATICSAPPLIED
mrcbT16-j 2.751
mrcbT16-s 3.235
mrcbT16-4 Q1
mrcbT16-B 99.125
mrcbT16-C 97.441
mrcbT16-D Q1*
mrcbT16-E Q1*
arlyear 2015
mrcbTft \nSoubory v repozitáři: outrata-0439413.pdf
mrcbU14 84925422892 SCOPUS
mrcbU34 000352220900004 WOS
mrcbU63 cav_un_epca*0255073 SIAM Journal on Optimization 1052-6234 1095-7189 Roč. 25 č. 1 2015 76 101 SIAM Society for Industrial and Applied Mathematics