行对称矩阵的广义逆特征值问题及其最佳逼近

In this paper, a generalized inverse eigenvalue problem for row symmetric matrices and its optimal approximate problem are considered. According to the properties of row symmetric matrices, we obtain the general solution to the generalized inverse eigenvalue problem for row symmetric matrices, and prove the existence and uniqueness of the optimal approximate solution. Expressions for the general solution and the optimal approximate solution are presented. At last, a numerical method to find the optimal approximate solution and a numerical experiment are provided.