W准对称矩阵反问题的最小二乘解

Least-squares Solutions of Inverse Problems for W–almost symmetric Matrices

研究了W准对称矩阵反问题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:逆特征值问题与矩阵反问题,获得了有解的充分必要条件,并在有解条件下得到了解的一般表达式。

The least-squares solutions of inverse problems for W-almost symmetric matrices is discussed, and the general experssions of the solution is obtained. Moreover, for the special eases of the least-squares problems, the necessary and sufficient conditions for the solvability and the general solution of these problems are given.