The Rotation of Eigenspaces of Perturbed Matrix Pairs
Numerical Analysis
2010-11-22 v1 Spectral Theory
Abstract
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.
Keywords
Cite
@article{arxiv.1011.4424,
title = {The Rotation of Eigenspaces of Perturbed Matrix Pairs},
author = {Luka Grubišić and Ninoslav Truhar and Krešimir Veselić},
journal= {arXiv preprint arXiv:1011.4424},
year = {2010}
}
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