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Hyperbolicity cones of elementary symmetric polynomials are spectrahedral
Authors:Petter Brändén
Institution:1. Department of Mathematics, Royal Institute of Technology, 100 44?, Stockholm, Sweden
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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