关于幂零矩阵的Kronecker积的探讨

Discussions on Kronecker Product of Nilpotent Matrices

幂零矩阵是一类特殊的矩阵,具有良好的性质.文章主要利用矩阵的特征值,给出了矩阵的Kronecker积仍是幂零矩阵的一个充分必要条件,并且得到了关于幂零矩阵的Kronecker积的幂零指数的两个结论。

The nilpotent matrix is a special kind of matrices with well properties. By applying matrix eigenvalue,a necessary and sufficient condition of when the Kronecker product of matrices is also a nilpotent matrix is established.Moreover,we obtained two results about nilpotent exponents of the Kronecker product.