Spectral pollution

E B Davies, M Plum

Research output: Contribution to journalArticlepeer-review

70 Citations (Scopus)

Abstract

It is well known that routine methods of computing the spectrum of a self-adjoint operator often lead to spurious eigenvalues in a gap between two parts of the essential spectrum. We provide a geometrical explanation for a numerical method of resolving this problem, and give some examples of its use.
Original languageEnglish
Pages (from-to)417 - 438
Number of pages22
JournalIMA JOURNAL OF NUMERICAL ANALYSIS
Volume24
Issue number3
DOIs
Publication statusPublished - Jul 2004

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