一类实对称矩阵反问题的最小二乘解

Least-square Solutions of Inverse Problems for Symmetric Matrices

本文讨论一类实对称矩阵反问题及其最佳逼近。通过这类矩阵的一些性质给出了反问题解存在的条件和解的一般表达式,不仅证明了最小二乘解的存在唯一性,而且给出了这个解的具体表达式。

This paper discusses the inverse problems and the optimal approximation of the symmetric matrices.Through the properties of this kind of matrixes,the solvable conditions and the general solution of the inverse problems are given,which not only proves the existence and uniqueness of the Least-square Solution,but also derived the expression of the solution.