Accelerated spectral refinement Part II: Cluster of eigenvalues

Publisher: Cambridge University Press

E-ISSN: 1446-8735|42|2|224-243

ISSN: 1446-1811

Source: ANZIAM Journal, Vol.42, Iss.2, 2000-10, pp. : 224-243

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Abstract

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.