Global properties of eigenvalues of parametric rank one perturbations for unstructured and structured matrices

A. C. M. Ran, Michal Wojtylak

General properties of eigenvalues of $A+\tau u{v}^{\ast }$ as functions of $τ\in\Comp$ or $τ\in\Real$ or $τ=\e^{\iiθ}$ on the unit circle are considered. In particular, the problem of existenc…