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Strictly Stable Hurwitz Polynomials and their Determinantal Representations (2411.17526v1)
Published 26 Nov 2024 in math.FA and math.AG
Abstract: We establish various certifying determinantal representation results for a polynomial that contains as a factor a prescribed multivariable polynomials that is strictly stable on a tube domain. The proofs use a Cayley transform in combination with the Matrix-valued Hermitian Positivstellensatz developed in ArXiv:1501.05527.
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