Relative perturbation theory for matrix pairs
by
Ivica Nakic
University of Zagreb, Croatia

We present a relative perturbation theory for strongly definitizable matrix pairs (H, K), i.e. for Hermitian matrix pairs which have separated positive and negative parts of the spectrum.

It is shown that, in some sense, this is the widest possible class of Hermitian matrix pairs for which such a theory can be obtained. This result generalizes the known result for the case when K is positive definite.

New eigenvalue perturbation estimates are also given for definite pairs.

We hope that the new estimates will be useful in the analysis of numerical algorithms for eigenvalue computation.

Date received: March 13, 2000

Copyright © 2000 by the author(s). The author(s) of this document and the organizers of the conference have granted their consent to include this abstract in Atlas Conferences Inc. Document # cadz-70.