| 线性流形上次反对称矩阵的加权最小二乘解 |
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| 引用本文： | 张华珍,罗慧明,罗恒.线性流形上次反对称矩阵的加权最小二乘解[J].广西科学,2012,19(4):313-315,322. |
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| 作者姓名： | 张华珍 罗慧明 罗恒 |
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| 作者单位： | 湘西民族职业技术学院,湖南吉首,416000 |
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| 基金项目： | 湖南省高校科研基金项目 |
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| 摘 要： | 利用矩阵的奇异值分解和矩阵对的广义奇异值分解,得到一类线性流形上次反对称矩阵在加权范数下的最小二乘解,导出解集合中与给定矩阵最佳逼近解的表达式.
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| 关 键 词： | 加权最小二乘解 次反对称矩阵 奇异值分解 广义奇异值分解 |
| 收稿时间： | 2012/3/21 0:00:00 |
| 修稿时间： | 2012/5/21 0:00:00 |
Weighted Least Square Solution of Anti-skew-symmetric Matrices on the Linear Manifold |
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| ZHANG Hua-zhen,LUO Hui-ming and LUO Heng.Weighted Least Square Solution of Anti-skew-symmetric Matrices on the Linear Manifold[J].Guangxi Sciences,2012,19(4):313-315,322. |
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| Authors: | ZHANG Hua-zhen LUO Hui-ming and LUO Heng |
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| Institution: | (National Vocational and Technical College in Xiangxi,Jishou,Hunan,416000,China) |
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| Abstract: | The expressions of the weighted least squares solution of anti-skew-symmetric matrices on the linear manifold are derived by applying the singular value decomposition of a matrix and the generalized singular value decomposition (GSVD) of a matrix pair.In addition, the expressions of the optimal approximate is provided for the matrices. |
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| Keywords: | weighted least-squares solution anti-skew-symmetric matrices singular value decomposition GSVD |
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