The Rotation of Eigenspaces of Perturbed Matrix Pairs

Details The Rotation of Eigenspaces of Perturbed Matrix Pairs The Rotation of Eigenspaces of Perturbed Matrix Pairs

2010-11-19

arxiv.org/abs/1011.4424v1

Mathematics

Numerical Analysis

submitted for a review

Scientific paper

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.

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