线性流形上D对称矩阵的加权最小二乘解 |
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引用本文: | 张华珍,罗恒,罗慧明.线性流形上D对称矩阵的加权最小二乘解[J].吉林林学院学报,2012(3):275-278. |
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作者姓名: | 张华珍 罗恒 罗慧明 |
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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资助项目(11C1261) |
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摘 要: | 通过矩阵的奇异值分解得到了线性流形上D对称矩阵在加权范数下的最小二乘解,同时导出了解集合中与给定矩阵的加权最佳逼近解的表达式.
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关 键 词: | 加权 D对称矩阵 最小二乘 奇异值分解 |
Weighted Least Square Solution of D-symmetric Matrices on the Linear Manifold |
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Authors: | ZHANG Hua-zhen LUO Heng LUO Hui-ming |
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Institution: | (Xiangxi National Vocational and Technical College ,Jishou 416000, China) |
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Abstract: | By applying the singular value decomposition of a matrix, the expressions of the weighted least square solution of D-symmetric matrices on the linear manifold are derived. In addition, the expressions of the weighted optimal approximate are provided for the matrices. |
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Keywords: | weighted D-symmetric matrices least square solution singular value decomposition |
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