| 关于Hermite矩阵迹的几个不等式 |
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| 引用本文： | 赵秀芳,王希彬,翟晓红,马丽丽,李立.关于Hermite矩阵迹的几个不等式[J].高师理科学刊,2012(2):11-13. |
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| 作者姓名： | 赵秀芳 王希彬 翟晓红 马丽丽 李立 |
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| 作者单位： | 齐齐哈尔大学理学院;齐齐哈尔市朝鲜族中学;齐齐哈尔中学 |
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| 基金项目： | 黑龙江省教育厅科学技术研究资助项目(11551542) |
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| 摘 要： | 研究了Hermite正半定矩阵和Hermite正定矩阵的迹的不等式问题.利用矩阵恒等变形的方法,得到了Hermite正半定矩阵和Hermite正定矩阵迹的几个重要不等式,推广了相关文献的结果.
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| 关 键 词： | Hermite矩阵 正定矩阵 半正定矩阵 矩阵的迹 |
Several inequalities about the trace of Hermite matrix |
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| ZHAO Xiu-fang,WANG Xi-bin,ZHAI Xiao-hong,MA Li-li.Several inequalities about the trace of Hermite matrix[J].Journal of Science of Teachers＇College and University,2012(2):11-13. |
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| Authors: | ZHAO Xiu-fang WANG Xi-bin ZHAI Xiao-hong MA Li-li |
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| Institution: | 1,LI Li1(1.School of Science,Qiqihar University,Qiqihar 161006,China;2.Qiqihar Korean Middle School,Qiqihar 161006,China;3.Qiqihar Middle School,Qiqihar 161002,China) |
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| Abstract: | Researched the trace inequality for Hermite positive semi-definite matrix and Hermite positive definite matrices.Through identical deformation of matrix,obtained several important inequalities of Hermite positive semi-definite matrix and Hermite positive definite matrix trace,generalized the results of the relevant literature. |
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| Keywords: | Hermite matrix positive definite matrix positive semidefinite matrices trace of matrix |
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