任意多个Hermitian矩阵的Khatri-Rao乘积的一些不等式  

Some Inequalities Involving the Khatri-Rao Product of Finite Number of Hermitian Matrices

作　　者：杨忠鹏[1] 

机构地区：[1]莆田学院数学系,福建莆田351100

出　　处：《数学研究》2002年第4期429-434,共6页Journal of Mathematical Study

基　　金：福建省教育厅科学基金项目 (JB0 1 2 0 6)

摘　　要：最近 S.Liu[2 ]和笔者 [4]得到了两个 Hermite矩阵的 Khatri- Rao乘积的一些不等式 .我们以两种方式来推广这些结果 .首先 ,将结论推广到任意有限个 Hermite矩阵的 Khatri- Rao乘积 ;其次 ,给出了相应不等式的等式成立的充分必要条件 .Recently, several inequalities involving the Khatri Rao product of two Hermitian matrices are established by S. Liu in and by Z. Yang, X. Zhang & C. Cao in . We extend these results in two ways. First, the results are extended to the Khatri Rao product of any finite number of Hermitian matrices. Second, necessary and sufficient conditions under which these inequalities become equalities are presented.

关 键 词：矩阵不等式 KRONECKER乘积 HADAMARD乘积 KHATRI-RAO乘积 HERMITE矩阵 等式条件 

分 类 号：O151.21[理学—数学]