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Automorphisms of Rank-One Generated Hyperbolicity Cones and Their Derivative Relaxations

Automorphisms of Rank-One Generated Hyperbolicity Cones and Their Derivative Relaxations

.A hyperbolicity cone is said to be rank-one generated (ROG) if all its extreme rays have rank 1, where the rank is computed with respect to the underlying hyperbolic polynomial. This is a natural class of hyperbolicity cones which are strictly more general than the ROG spectrahedral cones. In this …