线性流形上次对称矩阵的加权最小二乘解

Weighted Least Square Solution of Skew-symmetric Matrices on the Linear Manifold

通过矩阵的奇异值分解得到了线性流形上矩阵方程在加权范数下的最小二乘解,同时导出了解集合中与给定矩阵的加权最佳逼近解的表达式。

By applying the singular value decomposition of a matrix,the expressions of the weighted least square solution of skew-symmetric matrices on the linear manifold were derived.In addition,the expressions of the weighted optimal approximation solution were provided for the matrices.