摘要
应用结矩阵和结多项式的性质， 通过引入结最小多项式和标准结基解矩阵等概念， 探讨结矩阵、结多项式与求解二元多项式最大公因式的关系． 给出一种求解二元多项式最大公因式的新方法．
The present paper deals with the relations of resultant matrices and resultant polynomials with solving the greatest common factor of two variable polynomials, respectively, on the basis of the concepts of resultant minimum polynomials and standard resultant base solving matrix introduced from the properties of resultant matrices and resultant polynomials. Thus we gave a kind of new method for solving the greatest common factor of two variable polynomials.
出处
《吉林大学自然科学学报》
CSCD
1999年第2期31-35,共5页
Acta Scientiarum Naturalium Universitatis Jilinensis
关键词
最大公因式
二元多项式
结矩阵算法
多项式
greatest common factor, resultant matrix, resultant polynomial, resultant minimum polynomial, standard resultant base solving matrix
