Eigenvalues of rank one perturbations of unstructured matrices
André C. M. Ran, Michał Wojtylak · arXiv (Cornell University) · 2011
Let $A$ be a fixed complex matrix and let $u,v$ be two vectors. The eigenvalues of matrices $A+τuv^\top $ $(τ\in\mathbb{R})$ form a system of intersecting curves. The dependence of the intersections on the vectors $u,v$ is studied.