The Use of Defect Correction to Refine the Eigenelements of Compact Integral Operators

We show how the principle of defect correction can be applied to an integral eigenvalue problem. We present as particular cases of this principle the two important methods which are known as the two-level multigrid and iterative refinement.

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Veröffentlicht in:SIAM journal on numerical analysis 1983-12, Vol.20 (6), p.1087-1093
Hauptverfasser: Ahués, Mario, Chatelin, Françoise
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container_title SIAM journal on numerical analysis
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creator Ahués, Mario
Chatelin, Françoise
description We show how the principle of defect correction can be applied to an integral eigenvalue problem. We present as particular cases of this principle the two important methods which are known as the two-level multigrid and iterative refinement.
doi_str_mv 10.1137/0720077
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We present as particular cases of this principle the two important methods which are known as the two-level multigrid and iterative refinement.</abstract><cop>Philadelphia, PA</cop><pub>Society for Industrial and Applied Mathematics</pub><doi>10.1137/0720077</doi><tpages>7</tpages></addata></record>
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ispartof SIAM journal on numerical analysis, 1983-12, Vol.20 (6), p.1087-1093
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source SIAM Journals Online; Jstor Complete Legacy; JSTOR Mathematics & Statistics
subjects Approximation
Differential equations
Eigenvalues
Exact sciences and technology
Linear transformations
Mathematical integrals
Mathematical vectors
Mathematics
Matrices
Methods
Multigrid methods
Neighborhoods
Numerical analysis
Numerical analysis in abstract spaces
Numerical analysis. Scientific computation
Sciences and techniques of general use
Spectral theory
title The Use of Defect Correction to Refine the Eigenelements of Compact Integral Operators
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