Accelerated spectral refinement Part II: Cluster of eigenvalues

Accelerated spectral refinement Part II: Cluster of eigenvalues

The framework for accelerated spectral refinement for a simple eigenvalue developed in Part I of this paper is employed to treat the general case of a cluster of eigenvalues whose total algebraic multiplicity is finite. Numerical examples concerning the largest and the second largest multiple eigenv...

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Veröffentlicht in:The ANZIAM journal 2000-10, Vol.42 (2), p.224-243
Hauptverfasser: Alam, Rafikul, Kulkarni, Rekha P., Limaye, Balmohan V.
Format: Artikel
Sprache:eng
Schlagworte:
Clusters
Eigenvalues
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Zusammenfassung:The framework for accelerated spectral refinement for a simple eigenvalue developed in Part I of this paper is employed to treat the general case of a cluster of eigenvalues whose total algebraic multiplicity is finite. Numerical examples concerning the largest and the second largest multiple eigenvalues of an integral operator are given.
ISSN:1446-1811
1446-8735
DOI:10.1017/S1446181100011883