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

Shi-Ming Zheng

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 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.  

  • Keywords

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

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COPYRIGHT: © Global Science Press

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@Article{JCM-19-347, author = {Zheng , Shi-Ming}, 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 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.  

}, 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 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 -

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.  

Zheng , Shi-Ming. (2001). 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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