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

Shi-ming Zheng

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

机译：牛顿和切比雪夫方法在多项式并行分解中的应用

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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.

机译：在本文中，以两种不同的方式表明，[12]中介绍的用于确定多项式的所有实二次因子的并行迭代系列之一是应用于以下特殊方程式（1.7）的牛顿方法。此外，我们将Chebyshev方法应用于（1.7），并获得了多项式分解的新并行迭代。最后，讨论了并行迭代的一些属性。

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《Journal of Computational Mathematics》 |2001年第4期|p.347-356|共10页
作者
Shi-ming Zheng;
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正文语种 eng
中图分类计算数学;
关键词
Newton's method; Chebyshev's method; Parallel iteration;

机译：牛顿法;切比雪夫的方法;并行迭代;

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

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