Spectrahedral shadows

Published 21 Dec 2016 in math.OC and math.AG | (1612.07048v3)

Abstract: We show that there are many (compact) convex semi-algebraic sets in euclidean space that do not have a semidefinite representation. This gives a negative answer to a question by Nemirovski, resp. it shows that the Helton-Nie conjecture is false.

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Authors (1)

Claus Scheiderer

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