| 矩阵乘积之迹的不等式 |
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| 引用本文： | 冯秀红,杨主旺. 矩阵乘积之迹的不等式[J]. 山西大学学报(自然科学版), 2011, 34(1): 10-13 |
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| 作者姓名： | 冯秀红 杨主旺 |
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| 作者单位： | 南京信息工程大学,数理学院数学系,江苏,南京,210044 |
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| 基金项目： | 国家自然科学基金(10871138); 南京信息工程大学资助项目(20100076) |
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| 摘 要： | 研究若干复矩阵乘积之迹的不等式,并利用得到的不等式推出两个Hermite半正定矩阵乘积的任意次幂之迹的不等式,利用矩阵的分解给出一个Hermite半正定矩阵任意次幂之迹的不等式,推广了相关结果.
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| 关 键 词： | Hermite矩阵 迹 不等式 |
Trace Inequalities of Product of Matrices |
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| FENG Xiu-hong,YANG Zhu-wang. Trace Inequalities of Product of Matrices[J]. Journal of Shanxi University (Natural Science Edit, 2011, 34(1): 10-13 |
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| Authors: | FENG Xiu-hong YANG Zhu-wang |
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| Affiliation: | FENG Xiu-hong,YANG Zhu-wang(College of Mathematics & Physics,Nanjing University of Information Science & Technology,Nanjing 210044,China) |
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| Abstract: | Some trace inequalities of the product of some complex matrices,and derive a trace inequality of the power of product of two positive semidefinite Hermite matrices by using the obtained results.Moreover,we get a trace inequality of the power of a positive semidefinite Hermite matrix by using matrix decomposition,in the mean time,we extend correlative results. |
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| Keywords: | Hermite matrix trace inequality |
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