0364167 20240103195521.520110920235959.9 000295405600008 80054725674 10.1137/100807168 26 s. cav_un_epca*02550731052-6234213 (2011)798-823SIAM Society for Industrial and Applied Mathematics second-order cone programming strong regularity Aubin property 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*0274310 Ramírez H. C. CL http://library.utia.cas.cz/separaty/2011/MTR/outrata-0364167.pdf IAA100750802 GA AV ČR cav_un_auth*0241214 CEZ:AV0Z10750506 We characterize the Aubin property of a canonically perturbed KKT system related to the second-order cone programming problem in terms of a strong second order optimality condition. This condition requires the positive definiteness of a quadratic form, involving the Hessian of the Lagrangian and an extra term, associated with the curvature of the constraint set, over the linear space generated by the cone of critical directions. Since this condition is equivalent with the Robinson strong regularity, the mentioned KKT system behaves (with some restrictions) similarly as in nonlinear programming. 2012 BA 2 4 A 4a 20231122134647.1 http://hdl.handle.net/11104/0199719 MATHEMATICSAPPLIED 2.201 0.157 9.8 0.01457 1.924 3226 70 2.178 Q1 98.137 93.265 Q1* Q1* 2011 Soubory v repozitáři: outrata-0364167.pdf 80054725674 SCOPUS 000295405600008 WOS cav_un_epca*0255073 SIAM Journal on Optimization 1052-6234 1095-7189 Roč. 21 č. 3 2011 798 823 SIAM Society for Industrial and Applied Mathematics