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Approximation in variationally posed eigenvalue problems

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In this paper bounds are established for the error in Ritz-Galerkin approximation of variationally posed eigenvalue problems. For the most part these bounds are upper bounds, but lower bounds for the error are established for certain selfadjoint problems.

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The results in this paper form part of a Ph.D. thesis written at the University of Maryland under the direction of Professor John. E. Osborn

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Kolata, W.G. Approximation in variationally posed eigenvalue problems. Numer. Math. 29, 159–171 (1978). https://doi.org/10.1007/BF01390335

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