0434303 20240103204939.720141124235959.9 000346839800001 84919820014 10.1137/130928637 Full Stability of Locally Optimal Solutions in Second-Order Cone Programs 33 s. P cav_un_epca*02550731052-6234SIAM Journal on Optimization244 (2014)1581-1613SIAM Society for Industrial and Applied Mathematics variational analysis second-order cone programming full stability of local minimizers nondegeneracy strong regularity quadratic growth second-order subdifferentials coderivatives cav_un_auth*0051326 Mordukhovich B. S. US cav_un_auth*0101173 Outrata Jiří Matematická teorie rozhodování Department of Decision Making Theory MTR MTR UTIA-B Department of Decision Making Theory Ústav teorie informace a automatizace AV ČR, v. v. i. cav_un_auth*0310056 Sarabi E. US http://library.utia.cas.cz/separaty/2014/MTR/outrata-0434303.pdf DP-12092508 Australian Research Council AU cav_un_auth*0308973 DP-110102011 Australian Research Council AU cav_un_auth*0308975 MAT/11109 Portuguese Foundation of Science and Technologies PT cav_un_auth*0308974 DMS-1007132 USA National Science Foundation US cav_un_auth*0310057 GAP402/12/1309 GA ČR cav_un_auth*0284931 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. 2015 BA 3 4 A 4a 20231122140551.4 RVO:67985556 http://hdl.handle.net/11104/0239352 cav_un_auth*0308976 wayne state university US S MATHEMATICSAPPLIED 2.417 2.672 Q1 98.472 92.412 Q1* Q1* 2014 Soubory v repozitáři: outrata-0434303.pdf 84919820014 SCOPUS 000346839800001 WOS 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