Stability and zeros of a complex polynomial

For real polynomials, a stability test algorithm shown by Y. Bistritz (1984) requires about a half of the operations of the Marden-July table method (1964). His method also gives the number of inside the unit circle (IUC) zeros, outside the unit circle (OUC) zeros and on the unit circle (UC) zeros. However, it doesn´t work for complex polynomials. The authors present such an efficient counting algorithm for complex polynomials. For stability testing, it requires about half of the operations of the Marden-July table method. In the approach, a Sturm sequence of trigonometric functions is derived