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| 关于一个半正定矩阵的Khatri-Rao乘积的不等式的讨论 | |
| 引用本文： | 杨忠鹏. 关于一个半正定矩阵的Khatri-Rao乘积的不等式的讨论[J]. 数学杂志, 2005, 25(4): 458-462 |
| 作者姓名： | 杨忠鹏 |
| 作者单位： | 莆田学院数学系,福建,莆田,351100 |
| 基金项目： | 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． |
| 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 |
| 文章编号： | 0255-7797(2005)04-0458-05 |
A NOTE ABOUT THE MATRIX INEQUALITY INVOLVING KHATRI-RAO PRODUCT OF POSITIVE SEMI DEFINITE MATRICES |
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| YANG Zhong-peng. A NOTE ABOUT THE MATRIX INEQUALITY INVOLVING KHATRI-RAO PRODUCT OF POSITIVE SEMI DEFINITE MATRICES[J]. Journal of Mathematics, 2005, 25(4): 458-462 | |
| Authors: | YANG Zhong-peng |
| Abstract: | 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. |
| Keywords: | matrix inequality Khatri-Rao product real symmetric matrix positive semi-definite matrices inverse inequality equality condition |
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