Backward perturbation analysis and residual-based error bounds for the linear response eigenvalue problem

DOI10.1007/s10543-014-0519-8zbMath1350.65081OpenAlexW2062690431MaRDI QIDQ747644

D. Kharzeev

Publication date: 19 October 2015

Published in: BIT (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10543-014-0519-8

zbMATH Keywords

error boundRayleigh-Ritz approximationbackward perturbationeigenvalue approximationlinear response eigenvalue problemdeflating subspace

Mathematics Subject Classification ID

Error bounds for numerical methods for ordinary differential equations (65L70) Numerical approximation of eigenvalues and of other parts of the spectrum of ordinary differential operators (34L16) Numerical solution of eigenvalue problems involving ordinary differential equations (65L15)

Related Items (6)

On the Kahan-Parlett-Jiang theorem -- a globally optimal backward perturbation error for two-sided invariant subspaces ⋮ A projected preconditioned conjugate gradient method for the linear response eigenvalue problem ⋮ A block Chebyshev-Davidson method for linear response eigenvalue problems ⋮ A block Lanczos method for the linear response eigenvalue problem ⋮ Rayleigh-Ritz majorization error bounds for the linear response eigenvalue problem ⋮ Thick restarting the weighted harmonic Golub-Kahan-Lanczos algorithm for the linear response eigenvalue problem

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