Jan Brandts
Korteweg-de Vries Institute for Mathematics
University of Amsterdam
Amsterdam, The Netherlands
One of the most basic topics in matrix perturbation theory is
the effect of a rank-one update to a matrix on its eigendata.
After reviewing some well-know results, we present new bounds
on the perturbed eigenvalues due to Ipsen and Nadler (2007).
We show that those new bounds are part of a family of bounds
of increasing quality at increasing computational costs, and
present some experimental and theoretical results.