Application of Universal Grey Algorithm to Solutions of Algebraic Based on Wu Elimination Method

摘要

One of the most important methods used to find the solutions of a system of general algebraic equations is Wu's method. In this paper we describe how to employ the universal Grey algorithm to Wu's method in order to transform the problem to finding the zeros of universal Grey algebraic equations. We discuss how the lack of stability and coefficient growth of Wu's method is mitigated by our improvement. We present numerical examples to exhibit the advantages of our method.