Prof. dr. Ninoslav Truhar: The rotation of eigenspaces of perturbed matrix pairs
Date of publication: 29. 10. 2010
Mathematics colloquium
Četrtek, 4. 11. 2010, ob 18.15 v predavalnici 2.02 na Jadranski 21.
Prof. dr. Ninoslav Truhar
Univerza v Osijeku
We revisit the relative perturbation theory for invariant subspaces of positive definite matrix pairs. As a prototype example 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. We also present the upper
bound for the norm of J-unitary matrix F (F^* J F = J), which plays important role in the relative perturbation theory for quasi-definite
Hermitian matrices H.
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