线性流形上反次对称矩阵反问题的最小二乘解  

The least-squares solutions of inverse problems for anti-skew-symmetric on the linear manifold

作　　者：刘长荣[1] 肖庆丰[1] 

机构地区：[1]湖南大学数学与计量经济学院,湖南长沙410082

出　　处：《吉林化工学院学报》2005年第4期92-94,共3页Journal of Jilin Institute of Chemical Technology

摘　　要：讨论了线性流形上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 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 anti-skew-symmetric matrices on the linear manifold, the necessary and sufficient conditions for the solvability are given. Besides, the optimal approximation solution for anti-skew-symmetric matrices is obtained.

关 键 词：线性流形 反次对称矩阵 最小二乘解 最佳逼近 

分 类 号：O241.6[理学—计算数学]