复Hamilton矩阵的特征值问题
The Eigenvalues Problem for Complex Hamilton Matrix
DOI: 10.12677/AAM.2014.32012, PDF, HTML,  被引量 下载: 4,257  浏览: 13,786  国家自然科学基金支持
作者: 沈 玥, 王智慧, 闫 琨, 吴德玉：内蒙古大学数学科学学院，呼和浩特
关键词: 特征值；特征向量；Hamilton矩阵；Eigenvalue； Eigenvector； Hamilton Matrix
摘要: 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。
Abstract: 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.
文章引用：沈玥, 王智慧, 闫琨, 吴德玉. 复Hamilton矩阵的特征值问题[J]. 应用数学进展, 2014, 3(2): 78-84. http://dx.doi.org/10.12677/AAM.2014.32012

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