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线性流形上广义反次对称矩阵的加权最小二乘解
引用本文:张华珍,罗慧明,罗恒.线性流形上广义反次对称矩阵的加权最小二乘解[J].西华大学学报(自然科学版),2013(2):25-28.
作者姓名:张华珍  罗慧明  罗恒
作者单位:湘西民族职业技术学院
基金项目:湖南省高校科研基金(11C1261)
摘    要:运用矩阵的奇异值分解得到了线性流形上广义反次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最佳逼近解的表达式。

关 键 词:奇异值分解  加权  广义反次对称矩阵.

Weighted Least Square Solution to Generalized Anti-skew-symmetric Matrices on the Linear Manifold
ZHANG Hua-zhen,LUO Hui-ming,LUO Heng.Weighted Least Square Solution to Generalized Anti-skew-symmetric Matrices on the Linear Manifold[J].Journal of Xihua University:Natural Science Edition,2013(2):25-28.
Authors:ZHANG Hua-zhen  LUO Hui-ming  LUO Heng
Affiliation:(National Vocational and Technical college in xiangxi,Jishou 416000 China)
Abstract:The expressions of the weighted least squares solution to Generalized Anti - skew - symmetric matrices on linear mani-fold are derived by applying the singular value decomposition of a matrix . In addition , the expressions of the optimal approximation is provided for the matrices.
Keywords:singular value decomposition  weight  generalized anti -skew -symmetric matrix  
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