| 关于矩阵乘积迹的两个不等式 |
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| 引用本文： | 高道德.关于矩阵乘积迹的两个不等式[J].安徽理工大学学报(自然科学版),1993(1). |
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| 作者姓名： | 高道德 |
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| 作者单位： | 淮南矿业学院基础部 |
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| 摘 要： | 本文证明了矩阵乘积迹的两个不等式,即定理1和定理2。定理1给出m个方阵乘积迹的上界,这上界是这m个方阵的奇异值的函数。定理2给出m个半正定阵乘积迹的上界,这上界是这m个半正定阵幂迹的函数。
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| 关 键 词： | 矩阵 迹 不等式 |
Two Inequalities of Matrices Multiplicative Trace |
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| Gao Daode.Two Inequalities of Matrices Multiplicative Trace[J].Journal of Anhui University of Science and Technology:Natural Science,1993(1). |
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| Authors: | Gao Daode |
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| Institution: | Dept.of Basic Course |
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| Abstract: | In this paper, the two inequalities of the matrices multiplicative trace are proven, i.e. theorem 1 and theorem 2. In theorem 1, the upper bound of m square matrices multiplicative trace is given, which is the function of the singular values of these m square mat-rice. In theorem 2, the upper bound of m semi-definite matrices multiplicative trace is given, which is the function of these m semid-efinite matrices power trace. |
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| Keywords: | matrices traces inequalities |
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