Hyperbolicity cones of elementary symmetric polynomials are spectrahedral

Mathematics – Optimization and Control

Scientific paper

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7 pages, 2 figures

Scientific paper

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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