Numerische Mathematik

, Volume 29, Issue 2, pp 159-171

First online:

Approximation in variationally posed eigenvalue problems

  • William G. KolataAffiliated withDepartment of Mathematics, Statistics and Computer Science, The American University

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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.