Spectral pollution and second order relative spectra for self-adjoint operators

2002/12/05 by Levitin, Michael, Shargorodsky, Eugene
#47A75 (Primary) 65J10 (Secondary) #FOS: Mathematics #Numerical Analysis (math.NA) #Spectral Theory (math.SP)

paper · doi:10.48550/arxiv.math/0212087

Abstract

We consider the phenomenon of spectral pollution arising in calculation of spectra of self-adjoint operators by projection methods. We suggest a strategy of dealing with spectral pollution by using the so-called second order relative spectra. The effectiveness of the method is illustrated by a detailed analysis of two model examples.

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