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On Eigenvalue and Eigenvector Estimates for Nonnegative Definite Operators

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Publication:5422463
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DOI10.1137/050626533zbMath1131.65043arXivmath/0503328OpenAlexW2042041327MaRDI QIDQ5422463

Luka Grubišić

Publication date: 22 October 2007

Published in: SIAM Journal on Matrix Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0503328

zbMATH Keywords

singular perturbationperturbationvariational methodsupper and lower boundsRitz valuesRayleigh-Ritz approximationSturm-Liouville eigenvalue problemeigenvalues of operators


Mathematics Subject Classification ID

Estimates of eigenvalues in context of PDEs (35P15) Spectrum, resolvent (47A10) Numerical solutions to equations with linear operators (65J10) Eigenvalues, estimation of eigenvalues, upper and lower bounds of ordinary differential operators (34L15)


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On estimators for eigenvalue/eigenvector approximations, Benchmark results for testing adaptive finite element eigenvalue procedures. II: Conforming eigenvector and eigenvalue estimates.



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