Approximation of approximation numbers by truncation

DOI10.1007/BF01203320zbMath1021.47009OpenAlexW1975471784MaRDI QIDQ5937207

M. N. N. Namboodiri, A. V. Chithra, Albrecht Böttcher

Publication date: 20 October 2003

Published in: Integral Equations and Operator Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01203320

zbMATH Keywords

Hilbert spacePadé approximationapproximation numbersconvergence of spectral invariantsorthogonal projections

Mathematics Subject Classification ID

Eigenvalues, singular values, and eigenvectors (15A18) Eigenvalue problems for linear operators (47A75) Linear operator approximation theory (47A58)

Related Items (13)

Spectral Approximation of Bounded Self-Adjoint Operators—A Short Survey ⋮ Geometric series expansion of the Neumann–Poincaré operator: Application to composite materials ⋮ On the approximation of spectra of linear operators on Hilbert spaces ⋮ A Korovkin-type theory for non-self-adjoint Toeplitz operators ⋮ Spectral analysis of singular matrices in SIMO channel ⋮ Perturbation of operators and approximation of spectrum ⋮ Approximation of entropy numbers ⋮ Computing spectral measures and spectral types ⋮ On the Solvability Complexity Index, the 𝑛-pseudospectrum and approximations of spectra of operators ⋮ A short survey on preconditioners and Korovkin-type theorems ⋮ On the infinite-dimensional QR algorithm ⋮ Series Expansions of the Layer Potential Operators Using the Faber Polynomials and Their Applications to the Transmission Problem ⋮ Truncation method for operators with disconnected essential spectrum

Cites Work

• Introduction to large truncated Toeplitz matrices
• \(C^*\)-algebras and numerical linear algebra
• The Courant-Fischer theorem and the spectrum of selfadjoint block band Toeplitz operators
• A convergent variational method of eigenvalue approximation
• Approximation of isolated eigenvalues of general singular ordinary differential operators
• Spectral Approximation for Compact Operators
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