Friday, 15:45 - 16:10 h, Room: H 2036

 

Thorsten Theobald
Containment problems for polytopes and spectrahedra

Coauthors: Kai Kellner, Christian Trabandt

 

Abstract:
Spectrahedra are the feasible regions of semidefinite
programs. In this talk we study the computational
question(s) whether a given polytope or spectrahedron
SA (as given by a linear matrix pencil A(x)) is
contained in another one SB.
Our results both concern the computational complexity
(extending results on the polytope/polytope-case by
Gritzmann and Klee) as well as sufficient conditions
to certify containedness (whose study was initiated
by Ben-Tal, Nemirovski and Helton, Klep, McCullough).

 

Talk 2 of the invited session Fri.3.H 2036
"Algebraic geometry and conic programming III" [...]
Cluster 4
"Conic programming" [...]

 

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