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Methods for computing lower bounds to eigenvalues of self-adjoint operators

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Publication:1907131
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DOI10.1007/s002110050164zbMath0857.65063OpenAlexW2039976375MaRDI QIDQ1907131

Friedrich Goerisch, Christopher A. Beattie

Publication date: 16 March 1997

Published in: Numerische Mathematik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s002110050164

zbMATH Keywords

upper boundsfinite elementdifferential operatorsselfadjoint operatorsRayleigh-Ritz methodcomputational exampleslower bounds on eigenvalues


Mathematics Subject Classification ID

Estimates of eigenvalues in context of PDEs (35P15) Eigenvalue problems for linear operators (47A75) Linear symmetric and selfadjoint operators (unbounded) (47B25) Numerical solutions to equations with linear operators (65J10)


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Any three eigenvalues do not determine a triangle, Numerical verification method for infinite dimensional eigenvalue problems, Nonconforming finite element approximations of the Steklov eigenvalue problem and its lower bound approximations., A framework of verified eigenvalue bounds for self-adjoint differential operators, A counterexample to Payne's nodal line conjecture with few holes, Bounds to eigenvalues of the Laplacian on L-shaped domain by variational methods



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