对称次反对称矩阵反问题的最小二乘解  

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

作　　者：钱爱林[1] 吴又胜[1] 

机构地区：[1]咸宁学院数学系,湖北咸宁437005

出　　处：《咸宁学院学报》2004年第6期12-16,共5页Journal of Xianning University

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,给出了该问题有解的充要条件和解的表达式.The least-square solutions of the inverse problem of symmetric and skew anti-Symmetric matrices is discussed,and expression of the solution is obtained. In addition, the proProblem of using symmetric and skew anti-symmetric matrices to construct the optimalapproximation to a given matrix is discussed, the necessary and sufficient conditions about the problem are derived,and the expression of the solution is provided.

关 键 词：对称次反对称矩阵 矩阵范数 最佳逼近 

分 类 号：O241.2[理学—计算数学]