Comparison of Errors in Upper and Lower Bounds to Eigenvalues of Self-Adjoint Eigenvalue Problems

DOI10.1080/01630569408816602zbMath0815.65074OpenAlexW2027767835MaRDI QIDQ4323511

Sabine Zimmermann

Publication date: 22 February 1995

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

Full work available at URL: https://doi.org/10.1080/01630569408816602

zbMATH Keywords

numerical examplesupper and lower boundsmultiple eigenvaluesself-adjoint eigenvalue problemsRayleigh-Ritz boundscomparison of error boundsLehmann bounds

Mathematics Subject Classification ID

Related Items (5)

Variational bounds to eigenvalues of selfadjoint eigenvalue problems with arbitrary spectrum ⋮ The finite element-Galerkin method for singular self-adjoint differential equations ⋮ On the convergence of the Goerisch method for self-adjoint eigenvalue problems with arbitrary spectrum ⋮ Eigenwertschranken für das Problem der frei schwingenden rechteckigen Platte und Untersuchungen zum Ausweichphänomen ⋮ Local two-sided bounds for eigenvalues of self-adjoint operators

Cites Work

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• Asymptotic error estimates for Rayleigh-Ritz-approximations of selfadjoint eigenvalue problems
• Optimale Eigenwerteinschließungen
• Estimates for the Errors in Eigenvalue and Eigenvector Approximation by Galerkin Methods, with Particular Attention to the Case of Multiple Eigenvalues
• Eigenwertschranken für Eigenwertaufgaben mit partiellen Differentialgleichungen
• Ein neues Verfahren zur Lösung technischer Eigenwertprobleme

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