应用数学2004，Vol.17Issue(1)：61-66,6.
求鳞状循环因子矩阵的极小多项式的算法
An algorithm for Finding the Minimal Polynomial of a Scaled Circulant Factor Matrix
摘要
Abstract
In this paper,the scaled circulant factor matrix over any 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 Grobner basis of the ideal in the polynomial ring,and an algorithm for finding the inverse of such matrices are also presented,which can be realized by CoCoA 4.0,an algebraic system,over the field of rational numbers or the field of residue classes of modulo prime number. Numerical examples show the effectiveness of the algorithms.关键词
鳞状循环因子矩阵/极小多项式/公共极小多项式/逆/Gr(o)bner基Key words
Scaled circulant factor matrix/Minimal polynomial/Common minimal polynomial/Inverse/Gr(o)bner basis分类
数理科学引用本文复制引用
江兆林,刘三阳..求鳞状循环因子矩阵的极小多项式的算法[J].应用数学,2004,17(1):61-66,6.基金项目
Supported by the National Natural Science Foundationof China (69972036) （69972036）
