对称次反对称矩阵反问题的最小二乘解  

Least-square Solutions of Inverse Problems for Symmetric and Skew Anti-symmetric Matrices

作　　者：周硕[1] 秦万广[1] 

机构地区：[1]东北电力学院数理科学系,吉林吉林132012

出　　处：《东北电力学院学报》2004年第6期46-51,共6页Journal of Northeast China Institute of Electric Power Engineering

摘　　要：讨论了对称次反对称矩阵反问题的最小二乘解 ,得到了解的具体表达式。并讨论了用对称次反对称矩阵构造给定矩阵的最佳逼近问题 。The least-squares solutions of inverse problem of symmetric and skew anti-symmetric matrices is discussed,and the expression of the solution is obtained.Besides,in this paper,the problem of using symmetric and skew anti-symmetric matrices to construct the optimal approximation to a given matrix is discussed,the necessary and sufficient condition about the problem are derived,and the expression of the solution is provided.

关 键 词：对称次反对称矩阵 最小二乘解 反问题 最佳逼近 充分必要条件 表达式 构造 具体 

分 类 号：TM13[电气工程—电工理论与新技术] O151.21[理学—数学]