dc.contributor.author |
Bolte, Jerôme |
dc.contributor.author |
Daniilidis, Aris |
dc.contributor.author |
Lewis, Adrian S. |
dc.contributor.author |
Universitat Autònoma de Barcelona. Centre de Recerca Matemàtica |
dc.date |
2010 |
dc.identifier |
https://ddd.uab.cat/record/67750 |
dc.identifier |
urn:oai:ddd.uab.cat:67750 |
dc.format |
application/pdf |
dc.language |
eng |
dc.publisher |
Centre de Recerca Matemàtica |
dc.relation |
Centre de Recerca Matemàtica. Prepublicacions ; |
dc.rights |
open access |
dc.rights |
Aquest document està subjecte a una llicència d'ús de Creative Commons, amb la qual es permet copiar, distribuir i comunicar públicament l'obra sempre que se'n citin l'autor original, la universitat i el centre i no se'n faci cap ús comercial ni obra derivada, tal com queda estipulat en la llicència d'ús |
dc.rights |
https://creativecommons.org/licenses/by-nc-nd/2.5/ |
dc.subject |
Optimització matemàtica |
dc.subject |
Anàlisi matemàtica |
dc.subject |
Superfícies |
dc.subject |
Àlgebra |
dc.title |
Generic optimality conditions for semi-algebraic convex programs |
dc.type |
Article |
dc.type |
Prepublicació |
dc.description.abstract |
We consider linear optimization over a nonempty convex semi-algebraic feasible region F. Semidefinite programming is an example. If F is compact, then for almost every linear objective there is a unique optimal solution, lying on a unique \active" manifold, around which F is \partly smooth", and the second-order sufficient conditions hold. Perturbing the objective results in smooth variation of the optimal solution. The active manifold consists, locally, of these perturbed optimal solutions; it is independent of the representation of F, and is eventually identified by a variety of iterative algorithms such as proximal and projected gradient schemes. These results extend to unbounded sets F. |