Non-variational approximation of discrete eigenvalues of self-adjoint operators

Details Non-variational approximation of discrete eigenvalues of self-adjoint operators Non-variational approximation of discrete eigenvalues of self-adjoint operators

2005-03-07

arxiv.org/abs/math/0503126v1

Mathematics

Spectral Theory

24 pages, 1 figure, 2 tables

Scientific paper

We establish sufficiency conditions in order to achieve approximation to discrete eigenvalues of self-adjoint operators in the second-order projection method suggested recently by Levitin and Shargorodsky, [math.SP/0212087]. We find explicit estimates for the eigenvalue error and study in detail two concrete model examples. Our results show that, unlike the majority of the standard methods, second-order projection strategies combine non-pollution and approximation at a very high level of generality.

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