摘要
研究了域上首尾和r-循环矩阵,利用多项式环的理想的Gr bner基的算法给出了任意域上首尾和r-循环矩阵的极小多项式和公共极小多项式的一种算法.同时给出了这类矩阵逆矩阵的一种求法.
In this paper, the FLS r-circulant matrix over a field is introduced. Algorithms for computing the minimal polynomial and common minimal polynomial of this kind of matrices over any field are presented by means of the algorithm for the Gr（o）bner basis of the ideal in the polynomial ring, and an algorithm for finding the inverses of such matrices are also presented.
出处
《数学杂志》
CSCD
北大核心
2005年第6期599-604,共6页
Journal of Mathematics
