University of Split, Faculty of Electrical Engineering,
Machanical Engineering and Naval Architecture,
R. Boškovica b.b., 21000 Split, Croatia
Abstract. We give a bound for the perturbations of invariant subspaces of a non-singular Hermitian matrix H under relative additive perturbations of H. Such perturbations include the acse when the elements of H are known up to some relative tolerance. Our bound is, in appropriate cases, sharper that the classical bounds, and it generalizes some of the recent relative perturbation results.
1991 Mathematics Subject Classification. 15A42, 65F35, 15A60.
Key words and phrases. Hermitian matrix, invariant subspace, spectral projection, perturbation bound.