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The Basic Hurwitz Test.

14 November 1986

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A Hurwitz test is a coefficient test that determines whether or not all the zeros of a polynomial lie in the open left half-plane. This paper develops, at the beginner's level, a Hurwitz test for the general case of complex coefficients. The essence of the test is "The Basic Hurwitz Test" which is a coefficient test for determining whether or not the zeros of two polynomials interface.