半正定矩阵的Khatri-Rao乘积的一个偏序  

AN PARTIAL ORDER INVOLVING KHATRI-RAO PRODUCTS OF POSITIVE SEMIDEFINITE MATRICES

作　　者：吕洪斌[1] 

机构地区：[1]北华大学数学系,吉林省吉林市132013

出　　处：《山东师范大学学报（自然科学版）》2002年第3期1-4,共4页Journal of Shandong Normal University(Natural Science)

摘　　要：下述由王伯英[1 ] 和詹兴致[2 ] 建立的关于半正定矩阵A和B的Hadamard乘积偏序(C D) T(A B) - 1 (C D)≤ (CTA- 1 C) (DTB- 1 D)被S .Liu[3] 推广到半正定的情况 .我们给出了KhatriThe following partial order established by Wang Boying and Zhan Xingzhi (CD) T(AB) -1 (CD)≤(C TA -1 C)(D TB -1 D) is on the Hadamard product of positive definite matrix A and B ,was extend to cover the positive semidefinite by Liu S.In this paper,we give relevant partial order involving Khatri Rao product.

关 键 词：HADAMARD乘积 Kharti-Rao乘积 偏序 半正定矩阵 矩阵理论 转置矩阵 Moore-Perose逆 

分 类 号：O151.21[理学—数学] O241.6[理学—基础数学]