Title :
Application of Universal Grey Algorithm to Solutions of Algebraic Based on Wu Elimination Method
Author :
Che, Xiaoyi ; Luo, Youxin ; Yang, Jirong ; He, Zheming
Author_Institution :
Dept. of Mech. Eng., Hunan Univ. of Arts & Sci., Changde
Abstract :
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.
Keywords :
grey systems; polynomials; Wu elimination method; general algebraic equations; universal grey algorithm; Algebra; Computer applications; Computer vision; Helium; Integral equations; Mathematics; Mechanical engineering; Nonlinear equations; Polynomials; Transforms;
Conference_Titel :
Natural Computation, 2008. ICNC '08. Fourth International Conference on
Conference_Location :
Jinan
Print_ISBN :
978-0-7695-3304-9
DOI :
10.1109/ICNC.2008.76