A Hurwitz polynomial is a polynomial whose coefficients are positive real numbers and whose zeros are located in the left half-plane of the complex plane, that is, the real part of every zero is negative. These polynomials are named for Adolf Hurwitz.
A simple example of a Hurwitz polynomial is the following:
- x2 + 2x + 1
The only real solution is −1, as it factors to:
- (x + 1)2.