Quadratic projection methods for approximating the spectrum of self-adjoint operators

M. Strauss

Research output: Contribution to journalArticle

9 Citations (Scopus)

Abstract

The pollution-free approximation of the spectrum for self-adjoint operators using a quadratic projection method has recently been studied. Higher-order pollution-free approximation can be achieved by combining this technique with a method due to Kato. To illustrate, an example from magnetohydrodynamics is considered. Whether or not this procedure converges to the whole spectrum is unknown. Combining the quadratic method with the Galerkin method, we derive procedures that do converge to the whole spectrum and without pollution.
Original languageEnglish
Pages (from-to)40-60
Number of pages21
JournalIMA Journal of Numerical Analysis
Volume31
Issue number1
Early online date27 Aug 2009
DOIs
Publication statusPublished - 2011

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Keywords

  • second-order relative spectrum
  • quadratic projection methods
  • pollution
  • eigenvalues
  • pseudospectra
  • spectral pollution
  • relative spectra

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