Calculating Greatest Common Divisor of N Polynomials and Judging Stability of Linear System with Constant Complex Coefficients through Matrix Transformation

摘要

This paper proved a theorem about a new algorithm for calculating the greatest common divisor of many polynomials, the algorithm improved and developed Euclid's algorithm in algebra. The paper gives a new method for judging stability of linear system with constant complex coefficients through matrix transformation, it improve Hurwitz algorithm.