Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4642907 | Journal of Computational and Applied Mathematics | 2007 | 8 Pages |
Abstract
In a recent paper, Overton and Van Dooren have considered structured indefinite perturbations to a given Hermitian matrix. We extend their results to skew-Hermitian, Hamiltonian and skew-Hamiltonian matrices. As an application, we give a formula for computation of the smallest perturbation with a special structure, which makes a given Hamiltonian matrix own a purely imaginary eigenvalue.
Related Topics
Physical Sciences and Engineering
Mathematics
Applied Mathematics
Authors
Kui Du,