| bibtype |
J -
Journal Article
|
| ARLID |
0364167 |
| utime |
20240103195521.5 |
| mtime |
20110920235959.9 |
| WOS |
000295405600008 |
| SCOPUS |
80054725674 |
| DOI |
10.1137/100807168 |
| title
(primary) (eng) |
On the Aubin Property of Critical Points to Perturbed Second-Order Cone Programs |
| specification |
|
| serial |
| ARLID |
cav_un_epca*0255073 |
| ISSN |
1052-6234 |
| title
|
SIAM Journal on Optimization |
| volume_id |
21 |
| volume |
3 (2011) |
| page_num |
798-823 |
| publisher |
| name |
SIAM Society for Industrial and Applied Mathematics |
|
|
| keyword |
second-order cone programming |
| keyword |
strong regularity |
| keyword |
Aubin property |
| author
(primary) |
| ARLID |
cav_un_auth*0101173 |
| name1 |
Outrata |
| name2 |
Jiří |
| full_dept (cz) |
Matematická teorie rozhodování |
| full_dept (eng) |
Department of Decision Making Theory |
| department (cz) |
MTR |
| department (eng) |
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 |
|
| cas_special |
| project |
| project_id |
IAA100750802 |
| agency |
GA AV ČR |
| ARLID |
cav_un_auth*0241214 |
|
| research |
CEZ:AV0Z10750506 |
| abstract
(eng) |
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. |
| reportyear |
2012 |
| RIV |
BA |
| num_of_auth |
2 |
| mrcbC52 |
4 A 4a 20231122134647.1 |
| permalink |
http://hdl.handle.net/11104/0199719 |
| mrcbT16-e |
MATHEMATICSAPPLIED |
| mrcbT16-f |
2.201 |
| mrcbT16-g |
0.157 |
| mrcbT16-h |
9.8 |
| mrcbT16-i |
0.01457 |
| mrcbT16-j |
1.924 |
| mrcbT16-k |
3226 |
| mrcbT16-l |
70 |
| mrcbT16-s |
2.178 |
| mrcbT16-4 |
Q1 |
| mrcbT16-B |
98.137 |
| mrcbT16-C |
93.265 |
| mrcbT16-D |
Q1* |
| mrcbT16-E |
Q1* |
| arlyear |
2011 |
| mrcbTft |
\nSoubory v repozitáři: outrata-0364167.pdf |
| mrcbU14 |
80054725674 SCOPUS |
| mrcbU34 |
000295405600008 WOS |
| mrcbU63 |
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 |
|