bibtype J - Journal Article
ARLID 0410629
utime 20240103182227.7
mtime 20060210235959.9
title (primary) (eng) On second-order subdifferentials and their applications
specification
page_count 31 s.
serial
ARLID cav_un_epca*0255073
ISSN 1052-6234
title SIAM Journal on Optimization
volume_id 12
volume 1 (2001)
page_num 139-169
publisher
name SIAM Society for Industrial and Applied Mathematics
keyword variational analysis
keyword Lipschitzian stability in optimization
keyword second-order subdifferentials
author (primary)
ARLID cav_un_auth*0051326
name1 Mordukhovich
name2 B. S.
country US
author
ARLID cav_un_auth*0101173
name1 Outrata
name2 Jiří
institution UTIA-B
full_dept Department of Decision Making Theory
fullinstit Ústav teorie informace a automatizace AV ČR, v. v. i.
COSATI 12B
cas_special
research AV0Z1075907
abstract (eng) We study second-order subdifferentials of nonsmooth functions that are particularly important for applications to sensitivity analysis in optimization and related problems. First we develop various calculus rules for these subdifferentials in rather general settings. Then we obtain exact formulas for computing the second-order subdifferentials for a class of separable piecewise smooth functions. Functions of this class arise in equilibrium models related to some practical problems of continuum mechanics.
RIV BB
department MTR
permalink http://hdl.handle.net/11104/0130718
ID_orig UTIA-B 20010098
arlyear 2001
mrcbU63 cav_un_epca*0255073 SIAM Journal on Optimization 1052-6234 1095-7189 Roč. 12 č. 1 2001 139 169 SIAM Society for Industrial and Applied Mathematics