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

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
Format: Artikel
Sprache:eng
Schlagworte:
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
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Beschreibung
Zusammenfassung: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.
ISSN:0036-1429
1095-7170
DOI:10.1137/0720077