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

DOI10.1093/imanum/drl015zbMath1116.65062arXivmath/0503126OpenAlexW1972187077MaRDI QIDQ3417901

Lyonell Boulton

Publication date: 31 January 2007

Published in: IMA Journal of Numerical Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0503126

zbMATH Keywords

numerical examplesHilbert spacediscrete spectrumselfadjoint operatorapproximation of eigenvalues

Mathematics Subject Classification ID

Spectrum, resolvent (47A10) Numerical solutions to equations with linear operators (65J10)

Related Items (8)

The second order spectrum and optimal convergence ⋮ On the limit behaviour of second order relative spectra of self-adjoint operators ⋮ Spectral pollution and eigenvalue bounds ⋮ The Galerkin method for perturbed self-adjoint operators and applications ⋮ Non-consistent approximations of self-adjoint eigenproblems: application to the supercell method ⋮ On pseudospectra of matrix polynomials and their boundaries ⋮ Perturbations of Gibbs semigroups and the non-selfadjoint harmonic oscillator ⋮ On the convergence of second-order spectra and multiplicity

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