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

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.