| 有理数域上多项式因子分解 的一 个注记 |
| |
| 引用本文： | 张传林.有理数域上多项式因子分解 的一 个注记[J].浙江大学学报(理学版),1997,24(4):277-280. |
| |
| 作者姓名： | 张传林 |
| |
| 作者单位： | 杭州大学数学博士后流动站!暨南大学数学系，广州，510632，杭州，310028 |
| |
| 摘 要： | 本文推广了Kronecker一元多项式因子分解的构造性证明，给出了有理数域上多元多项式因子分解的一个构造性证明，把多元多项式因子分解这个非线性间题转化为系列线性间题和多项式的可除性判定，由此给出了有理数域上多元多项式因子分解的一个算法.
|
| 关 键 词： | 因子分解 分次字典序 带余除法 |
A Note on Decomposition of Multivariate Polynomial over Rational Number Field |
| |
| Zhang Chuanlin.A Note on Decomposition of Multivariate Polynomial over Rational Number Field[J].Journal of Zhejiang University(Sciences Edition),1997,24(4):277-280. |
| |
| Authors: | Zhang Chuanlin |
| |
| Affiliation: | (Postdoctorial Workshop of Mathematics of Hangzhou University,Hangzhou 310028) |
| |
| Abstract: | In this paper,a constructive proof of decomposition of multivariate polynomial over rational number field,which generalizes Kronecker's result on univariate polynomial,is given. Baed on this result,the nonlinear problem of decomposition of multivariate polynomial is converted into series of linear problem and dedsion of divisibility of polynomial. An algorithm on decomposition of multivariate polynomial over rational number field is found. |
| |
| Keywords: | factorization division algorithm total degree ordering |
| 本文献已被 CNKI 维普 等数据库收录！ |
| 点击此处可从《浙江大学学报(理学版)》浏览原始摘要信息 |
|
点击此处可从《浙江大学学报(理学版)》下载全文 |
