自反矩阵在圆盘上的左右逆特征对问题

Left and Right Inverse Eigenpairs Problem on Disk of Reflexive Matrices

研究了自反矩阵在给定的圆盘上的左右逆特征对问题及其最佳逼近问题,得到了在特定条件下左右逆特征对问题的一般解及最佳逼近问题的表达式.

In this paper, the left and right inverse eigenpairs problem and associated approximation problem on the given disk of eigenvalues of reflexive matrices are studied. Under special conditions, the general solutions of the left and right inverse eigenpairs problem are presented, and the expression of the solution for the optimal approximation problem is obtained.