Note on structured indefinite perturbations to Hermitian matrices
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摘要
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.
论文关键词：15A18,65F15,Structured additive perturbations,Structured multiplicative perturbations,Skew-Hermitian matrix,Hamiltonian matrix,Skew-Hamiltonian matrix
论文评审过程：Received 13 October 2005, Revised 20 February 2006, Available online 3 April 2006.
论文官网地址：https://doi.org/10.1016/j.cam.2006.02.030
