Boundedness of adjoint bases of approximate spectral subspaces and of associated block reduced Resolvents

DOI10.1080/01630569608816706zbMath0859.47002OpenAlexW2035445135MaRDI QIDQ4715287

Rekha P. Kulkarni, Rafikul Alam, Balmohan V. Limaye

Publication date: 9 April 1997

Published in: Numerical Functional Analysis and Optimization (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/01630569608816706

zbMATH Keywords

numerically stablespectral subspaceadjoint basesapproximate spectral subspacesarithmetic mean of a cluster of eigenvaluesblock reduced resolventscanonical discretization procedure for finite rank operators

Mathematics Subject Classification ID

Spectrum, resolvent (47A10) Eigenvalue problems for linear operators (47A75) Linear operator approximation theory (47A58) Summability and bases; functional analytic aspects of frames in Banach and Hilbert spaces (46B15) Numerical analysis in abstract spaces (65J99) Acceleration of convergence in numerical analysis (65B99)

Related Items (2)

Accelerated spectral refinement Part II: Cluster of eigenvalues ⋮ Uniformly Conditioned Bases of Spectral Subspaces

Cites Work

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• On the operator equation \(BX - XA = Q\)
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• Minimization Techniques for Piecewise Differentiable Functions: The $l_1$ Solution to an Overdetermined Linear System
• On Cline’s Direct Method for Solving Overdetermined Linear Systems in the $L_\infty $ Sense
• Rayleigh-schrödinger series for defective spectral elements of compact operators in banach spaces
• Rayleigh-schrödinger series for defective spectral elements of compact operators in banach spaces

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