Volume 19, Issue 4
Application of Newton's and Chebyshev's Methods to Parallel Factorization of Polynomials

Shi Ming Zheng

DOI:

J. Comp. Math., 19 (2001), pp. 347-356

Published online: 2001-08

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  • Abstract

In this paper it is shown in two different ways that one of the family of parallel iteration 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.

  • Keywords

Newton's method Chebyshev's method Parallel iteration Factorization of polynomial

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@Article{JCM-19-347, author = {}, title = {Application of Newton's and Chebyshev's Methods to Parallel Factorization of Polynomials}, journal = {Journal of Computational Mathematics}, year = {2001}, volume = {19}, number = {4}, pages = {347--356}, abstract = { In this paper it is shown in two different ways that one of the family of parallel iteration 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. }, issn = {1991-7139}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/jcm/8987.html} }
TY - JOUR T1 - Application of Newton's and Chebyshev's Methods to Parallel Factorization of Polynomials 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 KW - Chebyshev's method KW - Parallel iteration KW - Factorization of polynomial AB - In this paper it is shown in two different ways that one of the family of parallel iteration 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.
Shi Ming Zheng. (1970). Application of Newton's and Chebyshev's Methods to Parallel Factorization of Polynomials. Journal of Computational Mathematics. 19 (4). 347-356. doi:
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