On the parametric eigenvalue behavior of matrix pencils under rank one perturbations

Gernandt, Hannes; Trunk, Carsten GND

We study the eigenvalues of rank one perturbations of regular matrix pencils depending linearly on a complex parameter. We prove properties of the corresponding eigenvalue sets including a convergence result as the parameter tends to infinity and an eigenvalue interlacing property for real valued pencils having real eigenvalues only.

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Gernandt, H., Trunk, C., 2016. On the parametric eigenvalue behavior of matrix pencils under rank one perturbations. Preprint /  Technische Universität Ilmenau, Institut für Mathematik, Preprint /  Technische Universität Ilmenau, Institut für Mathematik 16–04.
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