| 四元数矩阵之迹的几个不等式 |
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| 引用本文： | 张树青,吕蕴霞. 四元数矩阵之迹的几个不等式[J]. 鲁东大学学报, 1992, 0(3) |
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| 作者姓名： | 张树青 吕蕴霞 |
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| 作者单位： | 烟台师范学院数学系(张树青)，烟台师范学院数学系(吕蕴霞) |
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| 摘 要： | 给出了广义西空间的概念,并利用其中向量内积的性质及四元数体上方阵的酉相似理论,建立了几个自共轭四元数矩阵之迹的不等式.
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| 关 键 词： | 四元数体 内积 自共轭矩阵 半正定 迹 |
SEVERAL INEQUALITIES ON THE TRACES OF QUATERNION MATRICES |
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| Zhang Shuqing Lu Yunxia. SEVERAL INEQUALITIES ON THE TRACES OF QUATERNION MATRICES[J]. Ludong University Journal (Natural Science Edition), 1992, 0(3) |
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| Authors: | Zhang Shuqing Lu Yunxia |
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| Affiliation: | Department of Mathematics |
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| Abstract: | The concept of generalized Unitary space is given, and several inequalities on the traces of quaternion matrices are proved by using properties of the internal product of quaternion vector and Unitary similarity theory of quaternion matrices. |
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| Keywords: | quaternion field internal product self-conjugate matrix positive semidefinite trace |
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