| 矩阵Hadamard乘积的几个不等式 |
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| 引用本文： | 吴保卫,代时勋.矩阵Hadamard乘积的几个不等式[J].西北大学学报,1997,27(6):477-480. |
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| 作者姓名： | 吴保卫 代时勋 |
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| 作者单位： | 西安交通大学理学院，陕西师范大学数学系 710049，西安，710062，西安 |
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| 基金项目： | 国家自然科学基金资助课题 |
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| 摘 要： | 运用矩阵Hadamard乘积的性质,将半正定Hermitian矩阵关于一般乘积的几个著名的迹和特征值不等式推广到Hermitian矩阵及Hadamard乘积的情形,这些结果可用于控制论的研究。
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| 关 键 词： | Hermitian矩阵 Hadamard乘积 迹不等式 |
Some Inequalities for Matrix Hadamard Products |
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| Wu Baowei Dai ShixunCollege of Science,Xi'an Jiaotong University,Xi'an.Some Inequalities for Matrix Hadamard Products[J].Journal of Northwest University(Natural Science Edition),1997,27(6):477-480. |
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| Authors: | Wu Baowei Dai ShixunCollege of Science Xi'an Jiaotong University Xi'an |
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| Institution: | Wu Baowei Dai ShixunCollege of Science,Xi'an Jiaotong University,710049,Xi'an, Department of Mathematics,ShaanxiNormal University,710062,Xi'an |
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| Abstract: | Applying the propeties of matrix Hadamard products, some well-known trace and eigenvalue inequalities for positive semidefinite Hermitian matrices with ordinary products have been generalized to the case for Hermitian matrices with matrix Hadamard products, these results may be used in the research of control theory. |
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| Keywords: | Hermitian matrix Hadamard product trace inequality |
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