关于几类投影矩阵Kronecker积的若干性质  

SOME PROPERTIES OF THE KRONECKER PRODUCT ABOUT SEVERAL PROJECTION 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,南宁530226 [2]广西民族大学理学院,南宁530006

出　　处：《山东师范大学学报（自然科学版）》2015年第4期11-14,共4页Journal of Shandong Normal University(Natural Science)

基　　金：国家自然科学基金资助项目（11161004）;广西自然科学基金资助项目（2013GXNSFAA019008）.

摘　　要：本文根据广义投影矩阵、超广义投影矩阵和三次Hermitian矩阵的定义，并运用Kronecker积的基本性质，去研究它们的Kronecker积，得到如下结论：当矩阵A和曰是广义投影矩阵时，且A，B满足一些条件时，则它们的和、差、积的Kronecker积是广义投影矩阵，同时也是EP矩阵．对于超广义投影矩阵和三次Hermitian矩阵，有类似的结果．According to the definitions of generalized projection matrix, generalized projection matrix and Cube Hermitian matrix, their kronecker product is studied by using the basic properties of Kronecker product. The following conclusions are obtained：when the matrices A and B are generalized projection matrix, and matrix A and B satisfy some conditions, then The Kronecker product of their sum, difference, and product is ont only generalized projection matrix, but also the EP matrix. For the hypergeneralized projection matrix and Cube Hermitian matrix, with similar results are also obtained.

关 键 词：KRONECKER积 广义投影 超广义投影 

分 类 号：O151[理学—数学]