论文信息 - Hadamard Products of Stable Polynomials Are Stable

Hadamard Products of Stable Polynomials Are Stable

A real polynomial is (asymptotically) stable when all of its zeros lie in the open left half of the complex plane. We show that the Hadamard (coefficient-wise) product of two stable polynomials is again stable, improving upon some known results. Via the associated Hurwitz matrices we find another example of a class of totally nonnegative matrices which is closed under Hadamard multiplication.

Jürgen Garloff | J. Garloff | D. Wagner | David G. Wagner

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