k-广义酉矩阵与k-广义Hermite矩阵的张量积和诱导矩阵

Tensor Products and the Induced Matrix about k-generalized Unitary Matrix and k-generalized Hermite Matrix

利用矩阵的张量积和诱导矩阵的性质,得到了有限个k-广义酉矩阵的张量积和诱导矩阵为k-广义酉矩阵,有限个k-广义Hermite矩阵的张量积和诱导矩阵为k-广义Hermite矩阵.并把2007年候谦民等结果中广义酉矩阵推广到k-广义酉矩阵,广义Hermite矩阵推广到k-广义Hermite矩阵.

Using the property of tensor product and induced matrix, both the tensor product and induced matrix with the finite k-generalized unitary matrices are obtained, and obtained also are both the tensor product and induced matrix with the finite k-generalized Hermite matrices. In this paper, the author extends the results of the matrix of the finite generalized unitary matrices derived by Hou Qian-min etc. （2007） to k-generalized unitary matrices, and the generalized Hermite matrix to k-generalized Hermite matrices.