Note on structured indefinite perturbations to Hermitian matrices |
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Authors: | Kui Du |
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Affiliation: | 1. School of Mathematical Sciences, Fudan University, Shanghai, 200433, PR China;2. Key Laboratory of Nonlinear Science, Fudan University, Education of Ministry, PR China |
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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. |
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Keywords: | 15A18 65F15 |
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