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

Lyonell Boulton

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

Lyonell Boulton

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Abstract

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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Lyonell Boulton. 2005-03-07. Non-variational approximation of discrete eigenvalues of self-adjoint operators. https://arxiv.org/abs/math/0503126

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