Eigenvalues of rank one perturbations of unstructured matrices

Abstract

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

References in corpus (1)

• Zeros of nonpositive type of generalized Nevanlinna functions with one negative square

Cited by in corpus (3)

• Digraph Signal Processing with Generalized Boundary Conditions
• Spectral properties of the trap model on sparse networks
• Sectorial perturbations of self-adjoint matrices and operators