%0 Journal Article
%J Linear Algebra and its Applications
%D 2004
%T An Elsner-like perturbation theorem for generalized eigenvalues
%A Stewart, G.W.
%K eigenvalue
%K Elsnerâ€™s theorem
%K Generalized eigenvalue
%K Perturbation theory
%X In 1985 Elsner established a general bound on the distance between an eigenvalue of a matrix and the closest eigenvalue of a perturbation of that matrix. In this note, we show that a similar result holds for the generalized eigenvalue problem.
%B Linear Algebra and its Applications
%V 390
%P 1 - 5
%8 2004/10/01/
%@ 0024-3795
%G eng
%U http://www.sciencedirect.com/science/article/pii/S0024379504002459
%R 10.1016/j.laa.2004.05.006