Lehmann Bounds and Eigenvalue Error Estimation

DOI10.1137/100793062zbMath1241.65050OpenAlexW2007771872MaRDI QIDQ3116399

Evgueni E. Ovtchinnikov

Publication date: 22 February 2012

Published in: SIAM Journal on Numerical Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/100793062

zbMATH Keywords

algorithmserror estimationdiscrete spectrumRitz valueseigenvalue boundseigenvalue localizationeigenvalue computationsubspace iterationbounded Hermitian operatorLehmann intervalsLehmann polesquadratic residual bounds

Mathematics Subject Classification ID

Numerical computation of eigenvalues and eigenvectors of matrices (65F15) Hermitian and normal operators (spectral measures, functional calculus, etc.) (47B15) Spectrum, resolvent (47A10) Numerical solutions to equations with linear operators (65J10) Numerical methods for eigenvalue problems for boundary value problems involving PDEs (65N25)

Uses Software

• SparseMatrix
• HSL_ea19

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