| 关于线性矩阵方程的反对称解 |
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| 引用本文： | 蒋利群,莫宏敏,刘罗飞. 关于线性矩阵方程的反对称解[J]. 吉首大学学报(自然科学版), 2002, 23(2): 28-30 |
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| 作者姓名： | 蒋利群 莫宏敏 刘罗飞 |
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| 作者单位： | 湖南大学数学与计量经济学院,湖南,长沙,410006;吉首大学数学与计算机科学系,湖南,吉首,416000;吉首大学数学与计算机科学系,湖南,吉首,416000 |
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| 摘 要： | 讨论了线性矩性方程AX=C,AXB=C的反对称解.分别用满秩分解、广义逆和广义奇异值分解导出了具有反对称解的充分必要条件.
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| 关 键 词： | 反对称解 线性矩阵方程 满秩分解 广义奇异值分解 |
| 文章编号： | 1007-2985(2002)02-0028-03 |
| 修稿时间： | 2002-04-18 |
On the Anti- Symmetric Solution of Linear Matrix Equations |
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| JIANG Li qun ,,MO Hong min. On the Anti- Symmetric Solution of Linear Matrix Equations[J]. Journal of Jishou University(Natural Science Edition), 2002, 23(2): 28-30 |
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| Authors: | JIANG Li qun MO Hong min |
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| Affiliation: | (1.Dept.of Math.and Computer Science,Jishou University,Jishou 416000,Hunan China;2.College of Math. and Econometrics,Hunan University,Changsha 410006,China) |
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| Abstract: | The anti-symmetric solutions of linear equations AX=C and AXB=C are considered.The necessary and sufficient conditions for the consistency of the equations with an anti-symmetric condition on solutions are derived using the full-rank decomposition,generalized inverse and generalized singular-value decomposition. |
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| Keywords: | the anti-symmetric solution linear matrix equations full-rank decomposition generalized singular-value decomposition |
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