Application of Newton's and Chebyshev's Methods to Parallel Factorization of Polynomials

Application of Newton's and Chebyshev's Methods to Parallel Factorization of Polynomials

Year:    2001

Author:    Shi-Ming Zheng

Journal of Computational Mathematics, Vol. 19 (2001), Iss. 4 : pp. 347–356

Abstract

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'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.  

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Journal Article Details

Publisher Name:    Global Science Press

Language:    English

DOI:    https://doi.org/2001-JCM-8987

Journal of Computational Mathematics, Vol. 19 (2001), Iss. 4 : pp. 347–356

Published online:    2001-01

AMS Subject Headings:   

Copyright:    COPYRIGHT: © Global Science Press

Pages:    10

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

Author Details

Shi-Ming Zheng