Hurwitz determinant
In mathematics, Hurwitz determinants were introduced by , who used them to give a criterion for all roots of a polynomial to have negative real part.Definition
Consider a characteristic polynomial P in the variable λ of the form:
where,, are real.
The square Hurwitz matrix associated to P is given below:
The ith Hurwitz determinant is the determinant of the ith leading principal minor of the above Hurwitz matrix H. There are n Hurwitz determinants for a characteristic polynomial of degree n.
