摘要
定义了与n次矩阵多项式A(λ)友矩阵CA相似的矩阵为A(λ)的(广义)友矩阵,通过将此友矩阵分解成一组特殊的分块矩阵乘积的方法得到了一类(广义)友矩阵.
We generalize the concept of the companion matrices of a matrix polynomial of degree n, which be similary with the usual block companion matrix and show that the matrix can be factorized into a product of n matrices. A family of the block companion matrices is obtained.
出处
《大学数学》
北大核心
2008年第4期80-82,共3页
College Mathematics
关键词
矩阵多项式
友矩阵
相似类
解矩阵
矩阵分解
matrix polynomial
companion mtrix
similarity classes
solution matrix
factorization of matrix
