Limiting set of second order spectra

DOI10.1090/S0025-5718-06-01830-8zbMath1102.47019arXivmath/0306404MaRDI QIDQ5470057

Lyonell Boulton

Publication date: 29 May 2006

Published in: Mathematics of Computation (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0306404

zbMATH Keywords

eigenvaluesselfadjoint operatorspectral pollution

Mathematics Subject Classification ID

Computational methods for problems pertaining to quantum theory (81-08) Jacobi (tridiagonal) operators (matrices) and generalizations (47B36) Linear operators in reproducing-kernel Hilbert spaces (including de Branges, de Branges-Rovnyak, and other structured spaces) (47B32)

Related Items (6)

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 ⋮ Spectral enclosure and superconvergence for eigenvalues in gaps ⋮ A new approach to spectral approximation ⋮ On the Solvability Complexity Index, the 𝑛-pseudospectrum and approximations of spectra of operators

Cites Work

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• Introduction to large truncated Toeplitz matrices
• Introduction to spectral theory. With applications to Schrödinger operators
• Stability of the absolutely continuous spectrum of the Schrödinger equation under slowly decaying perturbations and a. e. convergence of integral operators
• Spectral Enclosures and Complex Resonances for General Self-Adjoint Operators
• Projection methods for discrete Schrödinger operators
• Spectral pollution

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