| A Necessary and Sufficient Condition for Solvability of the Matrix Equation AXB＋CYD＝E Over an Arbitrary Skew Field |
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| 引用本文： | 黄克明. A Necessary and Sufficient Condition for Solvability of the Matrix Equation AXB＋CYD＝E Over an Arbitrary Skew Field[J]. 数学季刊, 1996, 0(4) |
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| 作者姓名： | 黄克明 |
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| 作者单位： | Chenzhou Education College，Chenzhou，423000 |
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| 摘 要： | ＡＮｅｃｅｓｓａｒｙａｎｄＳｕｆｆｉｃｉｅｎｔＣｏｎｄｉｔｉｏｎｆｏｒＳｏｌｖａｂｉｌｉｔｙｏｆｔｈｅＭａｔｒｉｘＥｑｕａｔｉｏｎＡＸＢ＋ＣＹＤ＝ＥＯｖｅｒａｎＡｒｂｉｔｒａｒｙＳｋｅｗＦｉｅｌｄＨｕａｎｇＫｅｍｉｎｇ（ＣｈｅｎｚｈｏｕＥｄｕｃａｔｉ...
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A Necessary and Sufficient Condition for Solvability of the Matrix Equation AXB CYD=E Over an Arbitrary Skew Field |
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| Huang Keming. A Necessary and Sufficient Condition for Solvability of the Matrix Equation AXB CYD=E Over an Arbitrary Skew Field[J]. Chinese Quarterly Journal of Mathematics, 1996, 0(4) |
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| Authors: | Huang Keming |
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| Abstract: | A necessary and sufficient condition for the consisteney of the matrix equation AXB CYD=E over an arbitrary skew field is given. Thus Roth's equivalence theorem is generalized. |
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| Keywords: | skew field matrix equation rank |
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