| Partial Orderings in the Category of Matrices over the Quaternion Field |
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| 作者单位： | Department of Mathematics，Zhang Normal College，Fujiun，363000 |
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| 摘 要： | ＰａｒｔｉａｌＯｒｄｅｒｉｎｇｓｉｎｔｈｅＣａｔｅｇｏｒｙｏｆＭａｔｒｉｃｅｓｏｖｅｒｔｈｅＱｕａｔｅｒｎｉｏｎＦｉｅｌｄＺｈｕａｎｇＷａｊｉｎ（庄瓦金）（ＤｅｐａｒｔｍｅｎｔｏｆＭａｔｈｅｍａｔｉｃｓ，ＺｈａｎｇＮｏｒｍａｌＣｏｌｌｅｇｅ，Ｆｕｊｉ...
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Partial Orderings in the Category of Matrices over the Quaternion Field |
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| Authors: | Zhuang Wajin |
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| Abstract: | We characterize five kinds of partial orderings in the category of matrices over thequaternion field H, and present the conditions for the minus partial ordering to equal the Baksalary Hauke partial ordering. |
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| Keywords: | Category of Matrices over the Quaternion Field Partial Ordering Moors Penrose Inverse Singular Value Decomposition |
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