论文标题
关于Hurwitz多项式的存在，没有HADAMARD分解
On the existence of Hurwitz polynomials with no Hadamard factorization
论文作者
论文摘要
如果这是两个hurwitz稳定的$ n $ $ n $的hasamard产品（即元素乘法），则Hurwitz稳定的学位$ n \ geq1 $具有HADAMARD分解。众所周知，赫维兹稳定的稳定多项式小于四个度的多项式已分解。我们表明，对于任意$ n \ geq4 $，存在一个hurwitz稳定的$ n $多项式多项式，而不是哈达姆分解。
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.
