关于一个半正定矩阵的Khatri-Rao乘积的不等式的讨论  

A NOTE ABOUT THE MATRIX INEQUALITY INVOLVING KHATRI-RAO PRODUCT OF POSITIVE SEMI DEFINITE 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：《数学杂志》2005年第4期458-462,共5页Journal of Mathematics

基　　金：福建省教育厅科学基金项目(JA03157)

摘　　要：得到的一个矩阵乘积不等式及其逆向不等式.应用这些结果,把一个半正定矩阵Khatri-Rao乘积的不等式推广到实对称矩阵,并给出了它的逆向不等式及其等式条件.We firstly obtain an inequality of matrices product and its converse inequality. Applying these results, the inequality of Khatri-Rao product about positive semi-definite matrices is generalized to real symmetric matrices, and its inverse inequality and equational condition are also given.

关 键 词：矩阵不等式 KHATRI-RAO乘积 实对称矩阵 半正定矩阵 逆向不等式 等式条件 

分 类 号：O151.21[理学—数学]