| 引用本文： |
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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. [点击复制]
- ZHANG Hua-zhen,LUO Hui-ming,LUO Heng.Weighted Least Square Solution of Anti-skew-symmetric Matrices on the Linear Manifold[J].Guangxi Sciences,2012,19(4):313-315,322. [点击复制]
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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. |
| 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 |
| DOI： |
| 投稿时间：2012-03-21修订日期：2012-05-21 |
| 基金项目:湖南省高校科研基金项目(11C1261)资助。 |
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| Weighted Least Square Solution of Anti-skew-symmetric Matrices on the Linear Manifold |
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ZHANG Hua-zhen, LUO Hui-ming, LUO Heng
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| (National Vocational and Technical College in Xiangxi, Jishou, Hunan, 416000, China) |
| 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. |
| Key words: weighted least-squares solution anti-skew-symmetric matrices singular value decomposition GSVD |
