Eigenvalues of rank one perturbations of unstructured matrices

Details Eigenvalues of rank one perturbations of unstructured matrices Eigenvalues of rank one perturbations of unstructured matrices

2011-04-04

arxiv.org/abs/1104.0618v1

Mathematics

Functional Analysis

Scientific paper

Let $A$ be a fixed complex matrix and let $u,v$ be two vectors. The
eigenvalues of matrices $A+\tau uv^\top $ $(\tau\in\mathbb{R})$ form a system
of intersecting curves. The dependence of the intersections on the vectors
$u,v$ is studied.

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