A short note on determinantal representation of stable polynomials

Matthew Kim, Kelly Shin, Clara Lim and Selcuk Koyuncu

Journal of Mathematics Research, 2020, vol. 12, issue 5, 43

Abstract: In this paper we provide some results that replace the condition ”real-zero” by the properties so-called x-substitution and y-substitution. We show that using these properties, we can still write the determinantal representation of a stable polynomial in terms of identity and Hermitian matrices.

Date: 2020
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