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

作　　者：郑建青[1] 

机构地区：[1]宁波大学理学院,浙江宁波315211

出　　处：《宁波大学学报（理工版）》2010年第1期56-58,共3页Journal of Ningbo University：Natural Science and Engineering Edition

基　　金：宁波市自然科学基金(2006A610032)

摘　　要：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.

关 键 词：k-广义Hermite矩阵 k-广义酉矩阵 张量积 诱导矩阵 

分 类 号：O152.2[理学—数学]