Structured conditioning of Hamiltonian eigenvalue problems
arXiv:1205.4500 · doi:10.1016/j.cam.2013.04.031
Abstract
We discuss the effect of structure-preserving perturbations on complex or real Hamiltonian eigenproblems and characterize the structured worst-case effect perturbations. We derive significant expressions for both the structured condition numbers and the worst-case effect Hamiltonian perturbations. It is shown that, for purely imaginary eigenvalues, the usual unstructured perturbation analysis is sufficient.
12 pages, 2 figures