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