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

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.