线性流形上对称自正交相似矩阵最佳逼近

摘要

讨论了线性流形上对称自正交相似矩阵的最小二乘解,得到了解的一般表达式,对于任意给定的矩阵A＊,在最小二乘解集中得到了的A的最佳逼近解.%The least-squares solutions of inverse problems of symmetric and self-orthogonal similar matrices on the linear manifold is discussed, and the general expressional of the solution is given. The optimal approximation solution for symmetric and self-orthogonal similar matrices is obtained.