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arXiv · 1205.4500

Structured conditioning of Hamiltonian eigenvalue problems

Paolo Buttà·Silvia Noschese
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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.

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Paolo Buttà, Silvia Noschese. 2012-05-21. Structured conditioning of Hamiltonian eigenvalue problems. https://doi.org/10.1016/j.cam.2013.04.031

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