复Hamilton矩阵的特征值问题

The Eigenvalues Problem for Complex Hamilton Matrix

在本文中,我们主要研究复Hamilton矩阵的特征值关于实轴和虚轴的对称性,以及复Hamilton矩阵的特征值是实的或纯虚数的充分条件。最后,通过证明得到一类特征值是关于实轴和虚轴对称的复Hamilton矩阵。

In this paper, we focus on the conditions under which the eigenvalues of complex Hamiltonian matrices are symmetric with respect to the real and imaginary axis, and the sufficient conditions that the eigenvalues of complex Hamiltonian matrices are the real or the pure imaginary number are obtained. In the end, a class of complex Hamiltonian matrices whose eigenvalues are symmetric with respect to the real and the imaginary axis are obtained.