  A Hurwitz stable polynomial of degree $n\geq1$ has a Hadamard factorization
if it is a Hadamard product (i.e. element-wise multiplication) of two Hurwitz
stable polynomials of degree $n$. It is known that Hurwitz stable polynomials
of degrees less than four have a Hadamard factorization. We show that for
arbitrary $n\geq4$ there exists a Hurwitz stable polynomial of degree $n$ which
does not have a Hadamard factorization.
