对称正交反对称矩阵反问题的最小二乘解

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

讨论了对称正交反对称矩阵反问题的最小二乘解,得出了解的最小表达式.并讨论了用对称正交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.

matrices is symmetric discussed, The least-square solutions of the inverse problem of symmetric orthogonal anti-symmetric discussed, and the expression of the solution is obtained. In addition, the problem of using orthogonal anti-symmetric matrices to construct the optimal approximation to a given matrix is the necessary and sufficient conditions about the problem are derived, and the expression of the solution is provided.