线性流形上D对称矩阵反问题的最小二乘解

LEAST-SQUARE SOLUTIONS OF INVERSE PROBLEMS OF D-SYMMETRIC MATRICES ON THE LINEAR MANIFOLD

本文研究了线性流形上 D对称矩阵反问的最小二乘解及其逼近问题 ,给出了最小二乘解的一般表达式 ,并就该问题的特殊情况——矩阵反问题 ,获得了有解的充分必要条件 。

The least squares solutions of inverse problems of D symmetric matrices on the linear manifold is discussed,and the general expressions of the solution is obtained.Moreover,for the special case of the least squares problems,the necessary and sufficient conditions for the solvability and the general solution of this problems are given.