On the convergence of the Goerisch method for self-adjoint eigenvalue problems with arbitrary spectrum
type: Item
instance of: scholarly article
title: On the convergence of the Goerisch method for self-adjoint eigenvalue problems with arbitrary spectrum
zbMATH Open document ID: 0898.49020
DOI: 10.4171/ZAA/722
published in: Zeitschrift für Analysis und ihre Anwendungen
publication date: 1998-11-01T00:00:00Z
review text: With the Goerisch method it is possible to obtain lower and upper bounds for all isolated eigenvalues of finite multiplicity including interior eigenvalues. In the present paper approximations to the corresponding eigenelements are derived. In addition, general convergence results for eigenvalue and eigenelement approximations obtained by this method are given. The precise formulation of the results is too involved to be stated here.
Mathematics Subject Classification ID: 49R50
Mathematics Subject Classification ID: 65N25
Mathematics Subject Classification ID: 35P15
zbMATH DE Number: 935178
zbMATH Keywords: eigenvalue problem
zbMATH Keywords: approximation of eigenvectors
zbMATH Keywords: Goerisch method
zbMATH Keywords: lower and upper bounds
author: Ulrich Mertins
reviewed by: Rolf Dieter Grigorieff
describes a project that uses: Mathematica
MaRDI profile type: Publication
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cites work: Variational bounds to eigenvalues of selfadjoint eigenvalue problems with arbitrary spectrum
full work available at URL: https://doi.org/10.4171/zaa/722
OpenAlex ID: W2080151395
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description: scientific article; zbMATH DE number 935178