Structured conditioning of Hamiltonian eigenvalue problems
Numerical Analysis
2022-12-22 v1
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.
Keywords
Cite
@article{arxiv.1205.4500,
title = {Structured conditioning of Hamiltonian eigenvalue problems},
author = {Paolo Buttà and Silvia Noschese},
journal= {arXiv preprint arXiv:1205.4500},
year = {2022}
}
Comments
12 pages, 2 figures