摘要
研究了矩阵幂运算的逆运算,即矩阵的开方运算.给出了可开方矩阵的充要条件,并对各种类型的可开方矩阵讨论了根的形式,最后对可开方矩阵根的计数展开了讨论,给出了结论.
This paper studies the inverse operation of the matrix power operation, namely the root operation, it gives the necessary and sufficient condition of a matrix＇s n-th root, the operation method of how to find the n- th root, and the count of a matrix＇s n-th roots.
出处
《中国计量学院学报》
2006年第4期315-319,共5页
Journal of China Jiliang University
关键词
若尔当标准形
可相似对角化矩阵
特征值
矩阵的n次方根
Jordan normal form
similar diagonalizable matrix
characteristic value
n-root of a matrix
