关于矩阵Khatri-Rao乘积的Lwner偏序不等式(英文)  

Lwner Partial Ordering Inequalities on the Khatri-Rao Product of Matrices

作　　者：冯晓霞[1] 杨忠鹏[2] 

机构地区：[1]北华大学数学系,吉林132013 [2]莆田学院数学系,福建351100

出　　处：《工程数学学报》2002年第3期106-110,共5页Chinese Journal of Engineering Mathematics

摘　　要：首先在任意分块条件下给出了矩阵的Khatri Rao及Tracy Singh乘积的一些等式 ,然后在此基础上建立了这两种矩阵乘积的不等式 ,从而推广了LiuShuangzhe (1999,LinearAlgebraAppl)的结果。We apply some equalities on Khatri Rao and Tracy Singh products of matrices, under the condition of arbitrary partition, to establish some Lwner partial ordering inequalities on the khatri rao and Tracy Singh products of positive semi definite matrices, further generalize the results in Liu Shuangzhe (1999, Linear Algebra Appl).

关 键 词：矩阵 KHATRI-RAO乘积 Lowner偏序不等式 Tracy-Singh乘积 HADAMARD乘积 

分 类 号：O151.21[理学—数学]