Hyperbolicity cones of elementary symmetric polynomials are spectrahedral

Published 13 Apr 2012 in math.OC and math.CO | (1204.2997v2)

Abstract: We prove that the hyperbolicity cones of elementary symmetric polynomials are spectrahedral, i.e., they are slices of the cone of positive semidefinite matrices. The proof uses the matrix--tree theorem, an idea already present in Choe et al.

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Authors (1)

Petter Brändén

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