%0 Journal Article
%T The Rotation of Eigenspaces of Perturbed Matrix Pairs
%A Luka Grubi£¿i£¿
%A Ninoslav Truhar
%A Kre£¿imir Veseli£¿
%J Mathematics
%D 2010
%I arXiv
%X We revisit the relative perturbation theory for invariant subspaces of positive definite matrix pairs. As a prototype model problem for our results we consider parameter dependent families of eigenvalue problems. We show that new estimates are a natural way to obtain sharp --- as functions of the parameter indexing the family of matrix pairs --- estimates for the rotation of spectral subspaces.
%U http://arxiv.org/abs/1011.4424v1