| 任意多个Hermitian矩阵的Khatri-Rao乘积的一些不等式 |
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| 引用本文： | 杨忠鹏. 任意多个Hermitian矩阵的Khatri-Rao乘积的一些不等式[J]. 数学研究, 2002, 35(4): 429-434 |
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| 作者姓名： | 杨忠鹏 |
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| 作者单位： | 莆田学院数学系,福建,莆田,351100 |
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| 基金项目： | 福建省教育厅科学基金项目 (JB0 1 2 0 6) |
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| 摘 要： | 最后S.Liu[2]和笔[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。
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| 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 |
| 修稿时间： | 2002-03-04 |
Some Inequalities Involving the Khatri-Rao Product of Finite Number of Hermitian Matrices |
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| Yang Zhongpeng. Some Inequalities Involving the Khatri-Rao Product of Finite Number of Hermitian Matrices[J]. Journal of Mathematical Study, 2002, 35(4): 429-434 |
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| Authors: | Yang Zhongpeng |
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| Abstract: | 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. |
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| Keywords: | matrix inequalities kronecker product hadamard product khatri Rao product hermitian matrix equality condition |
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