Hermite-Biehler, Routh-Hurwitz, and total positivity
arXiv:math/0512591 · doi:10.1016/S0024-3795(03)00501-9
Abstract
Simple proofs of the Hermite-Biehler and Routh-Hurwitz theorems are presented. The total nonnegativity of the Hurwitz matrix of a stable real polynomial follows as an immediate corollary.
4 pages
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- Generalized Hurwitz matrices, generalized Euclidean algorithm, and forbidden sectors of the complex plane
- Self-interlacing polynomials