摘要
讨论了线性流形上广义反次对称矩阵反问题的最小二乘解及其逼近问题,得到了最小二乘解的一般表达式.给出了线性流形上矩阵反问题可解的充分必要条件,得到了最佳逼近问题解的表达式.
The least-squares solutions of inverse problems of generalized anti-skew-symmetric matrices and its optimal approximation problems are discussed. The general expression of the least-squares solutions is given. For the inverse problems of generalized anti-skew-symmetric matrices on the linear manifold, the necessary and sufficient conditions for the solvability are given. Besides, the optimal approximation solution for generalized anti-skew-symmetric matrices is obtained.
出处
《吉林化工学院学报》
CAS
2012年第1期78-81,共4页
Journal of Jilin Institute of Chemical Technology
基金
东莞职业技术学院科研项目(2011016)
关键词
线性流形
广义反次对称矩阵
最小二乘解
最佳逼近
linear manifold
generalized anti-skew-symmetric matrix
least-squares solution
optimal approximation
