Hermite–Biehler, Routh–Hurwitz, and total positivity

By Olga Holtz. 2003

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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.

Subfields: Applied Mathematics, Computational Theory and Mathematics

View Paper: https://www.semanticscholar.org/paper/9c90b86c102d46d7ca00bc5dd16e0760a547f0c2