TY - JOUR
T1 - Application of Newton's and Chebyshev's Methods to Parallel Factorization of Polynomials
AU - Zheng , Shi-Ming
JO - Journal of Computational Mathematics
VL - 4
SP - 347
EP - 356
PY - 2001
DA - 2001/08
SN - 19
DO - http://doi.org/
UR - https://global-sci.org/intro/article_detail/jcm/8987.html
KW - Newton's method, Chebyshev's method, Parallel iteration, Factorization of polynomial.
AB - <p style="text-align: justify;">In this paper it is shown in two different ways that one of the family of parallel iterations to determine all real quadratic factors of polynomials presented in [12] is Newton&#39;s method applied to the special equation (1.7) below. Furthermore, we apply Chebyshev&#39;s method to (1.7) and obtain a new parallel iteration for factorization of polynomials. Finally, some properties of the parallel iterations are discussed. &nbsp;</p>