几类特殊矩阵Kronecker积  

Some Studies on the Kronecker Product of Several Kinds of Special Matrix

作　　者：周玉兴[1] 黄敬频[2] 刘晓冀[2] 

机构地区：[1]广西师范学院师园学院,广西南宁530226 [2]广西民族大学理学院,广西南宁530006

出　　处：《江南大学学报（自然科学版）》2015年第6期866-868,共3页Joural of Jiangnan University (Natural Science Edition)　

基　　金：国家自然科学基金项目(11161004);广西省自然科学基金项目(2013GXNSFAA019008)

摘　　要：根据k-Hermitian矩阵、k-二次Hermitian矩阵和k-三次Hermitian矩阵的定义,并运用Kronecker积的基本性质,研究它们和、差、积的Kronecker积的性质,得到结论:当矩阵A和B是k-Hermitian矩阵时,则它们和、差、积的Kronecker积是k-Hermitian矩阵。进一步,它们和、差、积的Kronecker积的矩阵函数exp也是k-Hermitian矩阵。According to the definitions of the k-Hermitian matrix,the k-square Hermitian matrix and the k-cube Hermitian matrix,this paper uses the basic properties of Kronecker product,to study the properties of the Kronecker product of their sum,difference and product. The following conclusions are obtained： If A and B are two k-Hermitian matrices,then Kronecker product of matrix function of their sum,difference and product are also the k-Hermitian matrices matrix.

关 键 词：KRONECKER积 k-Hermitian矩阵 k-二次Hermitian矩阵 k-三次Hermitian矩阵 

分 类 号：O151[理学—数学]