Hermite-Biehler, Routh-Hurwitz, and total positivity
Holtz, Olga
Classical Analysis and ODEs
Rings and Algebras
93D05, 12D10, 26C05, 26C10, 30C15, 15A23, 15A48, 15A57
Original · EN
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.
English translation
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