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Accelerated spectral refinement Part II: Cluster of eigenvalues

Published online by Cambridge University Press:  17 February 2009

Rafikul Alam ,
Rekha P. Kulkarni  and
Balmohan V. Limaye
Rafikul Alam
Affiliation:
Department of Mathematics, Indian Institute of Technology, Bombay 400 076, India.
Rekha P. Kulkarni
Affiliation:
Department of Mathematics, Indian Institute of Technology, Bombay 400 076, India.
Balmohan V. Limaye
Affiliation:
Department of Mathematics, Indian Institute of Technology, Bombay 400 076, India.
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Abstract

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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.

Type
Research Article
Information
The ANZIAM Journal , Volume 42 , Issue 2 , October 2000 , pp. 224 - 243
Copyright
Copyright © Australian Mathematical Society 2000

References

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