| The Metapositive Definite Self－Conjugate Solution of the Matrix Equation AXB＝C over a Skew Field |
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| 引用本文： | 王卿文.The Metapositive Definite Self－Conjugate Solution of the Matrix Equation AXB＝C over a Skew Field[J].数学季刊,1995(3). |
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| 作者姓名： | 王卿文 |
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| 作者单位： | Department of Math.，Changwei Teachers College，Weifang，261043 |
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| 摘 要： | ＴｈｅＭｅｔａｐｏｓｉｔｉｖｅＤｅｆｉｎｉｔｅＳｅｌｆ－ＣｏｎｊｕｇａｔｅＳｏｌｕｔｉｏｎｏｆｔｈｅＭａｔｒｉｘＥｑｕａｔｉｏｎＡＸＢ＝Ｃｏｖｅｒ ａ Ｓｋｅｗ ＦｉｅｌｄＷａｎｇＱｉｎｇｗｅｎ（王卿文）（ＤｅｐａｒｔｍｅｎｔｏｆＭａｔｈ．，Ｃｈａｎ...
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The Metapositive Definite Self-Conjugate Solution of the Matrix Equation AXB=C over a Skew Field |
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| Wang Qingwen.The Metapositive Definite Self-Conjugate Solution of the Matrix Equation AXB=C over a Skew Field[J].Chinese Quarterly Journal of Mathematics,1995(3). |
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| Authors: | Wang Qingwen |
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| Abstract: | Let F be the strong p-division ring 4]. This paper is sequel to 1]. Metapositive definite self-conjugate matrix over F is defined and the necessary and sufficient conditions for determining whether a partitioned matrix over F is metapositive definite self-conjugate are given.Moreover,a decomposition of pairwise matrices over F with the same numbers of columns is also presented. Whence some necessary and sufficient conditions for the existence of and the explicit expression for the metapositive definite self-conjugate solution of the matrix equation AXB=C over F are derived. |
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| Keywords: | the strong p-division ring matrix equation metapositive definite self-coniugate matrix |
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