Title of article :
Hermite–Biehler, Routh–Hurwitz, and total positivity
Author/Authors :
Olga Holtz، نويسنده ,
Issue Information :
روزنامه با شماره پیاپی سال 2003
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.
Keywords :
Hermite–Biehler theorem , Routh–Hurwitz criterion , Hurwitz matrix , Totally nonnegative matrices , stability , Root interlacing
Journal title :
Linear Algebra and its Applications
Journal title :
Linear Algebra and its Applications