中心对称矩阵的特征值反问题

Inverse Eigenvalue Problem for Centro-symmetric Matrices

讨论了中心对称矩阵反问题的最小二乘解 ,得到了解的具体表达式。并讨论了用中心对称矩阵构造给定矩阵的最佳逼近问题 ,给出中心对称矩阵特征值反问题有解的充分必要条件和解的表达式。

The least squares solutions of inverse problem of centro symmetric matrices is discussed and the expression of the solution is obtained. Besides,the problem of using centro symmetric matrices to construct the optimal approximation for a given matrix is discussed.The necessary and sufficient condition about the inverse eigenvalue problem and the expression of the solution are also provided.