摘要
利用矩阵的行初等变换方法,得到两个多项式的余式序列.进一步给出两个多项式的Sylves-ter结式与它们的余式序列中相邻两项组成的结式之间的关系.最后根据这个关系导出一种计算Sylvester结式的方法.
The remainder sequence of two polynomials is first obtained using the column elementary transformation of the matrix, and then the relation between the Sylvester resultant and the one of the neighbor terms in the remainder sequence is established. A method for computing the Sylvester resultant is presented based on the relation mentioned above at the conclusion of this paper.
出处
《宁波大学学报（理工版）》
CAS
2005年第4期522-524,共3页
Journal of Ningbo University：Natural Science and Engineering Edition
关键词
Sylvester结式
多项式余式序列
行初等变换
Sylvester resultant
remainder sequence of two polynomials
column elementary transformation
