Perturbation of purely imaginary eigenvalues of Hamiltonian matrices under structured perturbations
Perturbation of purely imaginary eigenvalues of Hamiltonian matrices under structured perturbations
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DOI：
10.13001/1081-3810.1261
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发表时间：
2008
影响因子：
0.7
通讯作者：
V. Mehrmann;Hongguo Xu
中科院分区：
文献类型：
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作者：
V. Mehrmann;Hongguo Xu
我们讨论哈密顿矩阵纯虚部特征值在哈密顿扰动和非哈密顿扰动下的扰动理论。我们表明，在这些扰动下，行为存在显着差异。我们还讨论了结构扰动下实偏哈密顿矩阵实特征值的扰动，并利用这些结果分析了计算哈密顿矩阵特征值的 URV 方法的性质。
We discuss the perturbation theory for purely imaginary eigenvalues of Hamiltonian matrices under Hamiltonian and non-Hamiltonian perturbations. We show that there is a substantial difference in the behavior under these perturbations. We also discuss the perturbation of real eigenvalues of real skew-Hamiltonian matrices under structured perturbations and use these results to analyze the properties of the URV method of computing the eigenvalues of Hamiltonian matrices.