| 矩阵的Wielandt-Hoffman定理在四元数体上的推广 |
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| 引用本文： | 赵礼峰,马良琼,乔亚洁. 矩阵的Wielandt-Hoffman定理在四元数体上的推广[J]. 淮北煤炭师范学院学报(自然科学版), 2008, 29(1): 13-15 |
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| 作者姓名： | 赵礼峰 马良琼 乔亚洁 |
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| 作者单位： | 淮北煤炭师范学院数学系,安徽,淮北,235000 |
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| 摘 要： | 文章将Hermidt矩阵中的Wielandt-Hoffman定理推广到四元数体上,得到了自共轭四元数矩阵迹的相关不等式。
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| 关 键 词： | Wielandt-Hoffman定理 矩阵的迹 特征值 自共轭四元数矩阵 不等式 |
| 文章编号： | 1672-7177(2008)01-0013-03 |
| 修稿时间： | 2007-06-18 |
On Generalization of the Wielandt-Hoffman Theorem in the Quaternion Field |
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| ZHAO Li-feng,MA liang-qiong,QIAO Ya-jie. On Generalization of the Wielandt-Hoffman Theorem in the Quaternion Field[J]. Journal of Huaibei Coal Industry Teachers College(Natural Science edition), 2008, 29(1): 13-15 |
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| Authors: | ZHAO Li-feng MA liang-qiong QIAO Ya-jie |
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| Abstract: | In this paper,the Wielandt-Hoffman inequality of the matrices is generalized from complex field to quaternion field,and some estimations of the inequality on trace of self-conjugate quaternion matrices are obtained. |
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| Keywords: | Wielandt-Hoffman theorem trace of matrix eigenvalue self-conjugate quaternion matrix inequality |
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