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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2024
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2411.17526 |
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| _version_ | 1866917849104121856 |
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| author | Vinnikov, Victor Woerdeman, Hugo J. |
| author_facet | Vinnikov, Victor Woerdeman, Hugo J. |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2411_17526 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Strictly Stable Hurwitz Polynomials and their Determinantal Representations Vinnikov, Victor Woerdeman, Hugo J. Functional Analysis Algebraic Geometry Primary: 15A15, Secondary: 26C10, 32A10, 47A13, 30C10, 93B28 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. |
| title | Strictly Stable Hurwitz Polynomials and their Determinantal Representations |
| topic | Functional Analysis Algebraic Geometry Primary: 15A15, Secondary: 26C10, 32A10, 47A13, 30C10, 93B28 |
| url | https://arxiv.org/abs/2411.17526 |