An elementary approach to the algebraic stability theorems
Eugene Curtin, S. Saba · IEEE Transactions on Circuits and Systems I Fundamental Theory and Applications · 1996
We prove that the mapping of a nonzero single variable polynomial to the minimum of the absolute values of its roots is continuous. We deduce a strengthened version of Huang's Stability Theorem as an immediate consequence. We present an algorithm for testing for zeros of two-variable polynomials inside the unit bidisk based on our results.