Article ID Journal Published Year Pages File Type
4642907 Journal of Computational and Applied Mathematics 2007 8 Pages PDF
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
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