| 二元整系数多项式因式分解的一种理论和算法 |
| |
| 引用本文： | 余新国 赖楚生. 二元整系数多项式因式分解的一种理论和算法[J]. 高校应用数学学报(A辑), 1995, 0(1): 34-42 |
| |
| 作者姓名： | 余新国 赖楚生 |
| |
| 作者单位： | 华中理工大学计算机系 |
| |
| 摘 要： | 我们发现可以把二元多项式盾成系数为一元多项式的一元多项式来进行分解，据此，本文建立了二元整系数多项式因式分解的一种理论，提出了一个完整的分解二元整系数多项式的算法。这个算法还能很自然地推广成分解多元整系数多项式的算法。
|
| 关 键 词： | 多项式 因式分解 算法 整系数多项式 |
A THEORY AND ALGORITHM FOR FACTORING BIVARIATE POLYNOMIALS WITH INTEGRAL COEFFICIENTS |
| |
| Yu Xinguo,Lai Chusheng and Huang Wenqi. A THEORY AND ALGORITHM FOR FACTORING BIVARIATE POLYNOMIALS WITH INTEGRAL COEFFICIENTS[J]. Applied Mathematics A Journal of Chinese Universities, 1995, 0(1): 34-42 |
| |
| Authors: | Yu Xinguo Lai Chusheng Huang Wenqi |
| |
| Abstract: | We discover that a bivariate polynomial may be considered as a univariate polynomial with univariate ploynomials as its coefficients. According to this idea,this paper founds a theory and then obtains a complete algorithm for factoring bivariate polynomials with integral coefficients. This algorithm can be naturally generalized to be an algorithm for factoring multivariate polynomials with integral coefficients. |
| |
| Keywords: | Polynomial Factorization Algorithm Complexity. |
| 本文献已被 CNKI 维普 等数据库收录！ |
