| Schmidt Decomposition of Quaternion Matrix and the Orthonormalization of Vectors in a Generalized Unitary Space |
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| 引用本文： | 王卿文,林春艳.Schmidt Decomposition of Quaternion Matrix and the Orthonormalization of Vectors in a Generalized Unitary Space[J].数学季刊,1996(4). |
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| 作者姓名： | 王卿文 林春艳 |
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| 作者单位： | Wang Qingwen(Dept. of Math.，Changwei Teachers College，Weifang，261043)Lin Chunyan (Dept. of Basic Sciences，Shandong Finance College，Jinan，250014) |
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| 摘 要： | ＳｃｈｍｉｄｔＤｅｃｏｍｐｏｓｉｔｉｏｎｏｆＱｕａｔｅｒｎｉｏｎＭａｔｒｉｘａｎｄｔｈｅＯｒｔｈｏｎｏｒｍａｌｉｚａｔｉｏｎｏｆＶｅｃｔｏｒｓｉｎａＧｅｎｅｒａｌｉｚｅｄＵｎｉｔａｒｙＳｐａｃｅＷａｎｇＱｉｎｇｗｅｎ（Ｄｅｐｔ．ｏｆＭａｔｈ．，Ｃｈａ...
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Schmidt Decomposition of Quaternion Matrix and the Orthonormalization of Vectors in a Generalized Unitary Space |
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| Wang Qingwen.Schmidt Decomposition of Quaternion Matrix and the Orthonormalization of Vectors in a Generalized Unitary Space[J].Chinese Quarterly Journal of Mathematics,1996(4). |
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| Authors: | Wang Qingwen |
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| Abstract: | In this paper we derive a practical method of solving simultaneously the problem of Schmidt decomposition of quaternion matrix and the orthonormalization of vectors in a generalized unitary space by using elementary column operations on matrices over the quaternion field. |
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| Keywords: | quaternion matrix Schmidt decomposition generalized unitary space (generalized)positive upper matrix |
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