APPLICATION OF NEWTON'S AND CHEBYSHEV'S METHODS TO PARALLEL FACTORJZATION OF POLYNOMIALS

作     者：Shi-ming Zheng (Department of Mathematics, Xixi Campus, Zhejiang University, Hangzhou 310028, China) 

作者机构：浙江大学 浙江 杭州 310028 

出 版 物：《Journal of Computational Mathematics》 (计算数学（英文）)

年 卷 期：2001年第19卷第4期

页      面：347-356页

核心收录：

学科分类：07[理学] 070102[理学-计算数学] 0701[理学-数学] 

基　　金：The Project Supported by National Natural Science Foundation of China and by Natural Science Foundation of Zhejiang Province 

主　　题：Newton's method Chebyshev's method Parallel iteration Factorization of polynomial. 

摘      要：In this paper it is shown m two different ways that one of the family of parallel iterations to determine all real quadratic factors of polynomials presented in [12] is Newton s method applied to the special equation (1.7) below. Furthermore, we apply Chebyshev s method to (1.7) and obtain a new parallel iteration for factorization of polynomials. Finally, some properties of the parallel iterations are discussed.