Naslov
On relative perturbation theory for eigenvalues and eigenvectors of block operator matrices

Autori
Grubišić, Luka

Izvornik
PAMM : Proceedings in applied mathematics and mechanics (1617-7061) 7 (2007), 1; 2050001, 2

Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, znanstveni

Ključne riječi
Estimation of eigenvalues ; upper and lower bounds

Sažetak
We are concerned with singularly perturbed spectral problems which appear in engineering sciences. Typically under the influence of a singular perturbation the model can be approximated by a simpler, perturbation independent model. Such reduced model is usually better amenable to analytic or numeric analysis. However, the question of the quality of approximation has to be answered. Frequently, correctors which yield an improved solution-capturing important phenomena which the reduced model does not see-to the original problems are required. We tackle both question for self-adjoint eigenvalue/eigenvector problems posed in a general Hilbert space. Our technique is constructive and is based on methods (relative perturbation theory) of modern Numerical Linear Algebra.

Izvorni jezik
Engleski

Znanstvena područja
Matematika

Napomena
Podlistak CC časopisa ZAMM (ISNN: 0044-2267)

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