# The solvability conditions for the inverse eigenvalue problem of Hermitian-generalized Hamiltonian matrices

@inproceedings{Zhang2002TheSC, title={The solvability conditions for the inverse eigenvalue problem of Hermitian-generalized Hamiltonian matrices}, author={Zhongzhi Zhang and Xiyan Hu and Lei Zhang}, year={2002} }

- Published 2002
DOI:10.1088/0266-5611/18/5/311

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.

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