The solvability conditions for the inverse eigenvalue problem of Hermitian-generalized Hamiltonian matrices
Zhongzhi Zhang, Xi-Yan Hu, Lei Zhang · Inverse Problems · 2002
In this paper, the inverse eigenvalue problem of Hermitian-generalized Hamiltonian matrices and their optimal approximation problem are considered. Some sufficient and necessary conditions of the solvability for the inverse eigenvalue problem are given. A general representation of the solution is presented for a solvable case. Furthermore, an expression of the solution for the optimal approximation problem is presented.