| 自共轭四元数矩阵迹不等式的推广 |
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| 引用本文： | 赵礼峰.自共轭四元数矩阵迹不等式的推广[J].淮北煤炭师范学院学报(自然科学版),1996(1). |
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| 作者姓名： | 赵礼峰 |
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| 摘 要： | 本文利用解析不等式主要证明了对ｍ个（ｍ≥２）半正定自共轭四元数矩阵Ａ１，Ａ２，…，Ａｍ，有如下结论：（ｉ）若Ａ１，Ａ２，…Ａｍ两两可换，则其中ａｉ＞０ｉ＝１，２…，ｍ且。（ｉｉ）对任何实数ｐ＞１有
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| 关 键 词： | 四元数体 半正定自共轭四元数矩阵 矩阵的迹 推广的Hёlder不等式 |
The Extension of Trace Inquality of Self-conjugate quaterion Matrices |
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| Zhao Lifeng.The Extension of Trace Inquality of Self-conjugate quaterion Matrices[J].Journal of Huaibei Coal Industry Teachers College(Natural Science edition),1996(1). |
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| Authors: | Zhao Lifeng |
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| Institution: | Dept. of Math. |
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| Abstract: | In the paper,we used to analysis inquality proved the following theorems:Let A 1, A2, ...,Am are positive semi-definite self-conjugate quaterion matrices.(1) when A 1 /2,... Am are commutive, then where a 1 >0 i=1,2, ...,m and |
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