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(Reference retrieved automatically from Web of Science through information on FAPESP grant and its corresponding number as mentioned in the publication by the authors.)

VERTICES OF SPECTRAHEDRA ARISING FROM THE ELLIPTOPE, THE THETA BODY, AND THEIR RELATIVES

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Author(s):
de Carli Silva, Marcel K. [1] ; Tuncel, Levent [2]
Total Authors: 2
Affiliation:
[1] Univ Sao Paulo, Dept Comp Sci, Inst Math & Stat, BR-05508090 Sao Paulo - Brazil
[2] Univ Waterloo, Fac Math, Dept Combinator & Optimizat, Waterloo, ON N2L 3G1 - Canada
Total Affiliations: 2
Document type: Journal article
Source: SIAM JOURNAL ON OPTIMIZATION; v. 25, n. 1, p. 295-316, 2015.
Web of Science Citations: 2
Abstract

Utilizing dual descriptions of the normal cone of convex optimization problems in conic form, we characterize the vertices of semidefinite representations arising from the Lovasz theta body, generalizations of the elliptope, and related convex sets. Our results generalize vertex characterizations due to Laurent and Poljak in the 1990s. Our approach, focused on the dimension of the normal cone, also leads us to nice characterizations of strict complementarity and to connections with some of the related literature. (AU)

FAPESP's process: 13/20740-9 - Applications of Semidefinite Programming in Combinatorial Optimization
Grantee:Marcel Kenji de Carli Silva
Support Opportunities: Scholarships in Brazil - Post-Doctoral