On condition numbers of the spectral projections associated with periodic eigenproblems

• Autores: Xiao Shan Chen, Wen Li, Michael K. Ng
• Localización: Journal of computational and applied mathematics, ISSN 0377-0427, Vol. 272, Nº 1, 2014, págs. 417-429
• Idioma: inglés
• DOI: 10.1016/j.cam.2013.06.019
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• Resumen

  • In this paper, we study and analyze absolute and relative condition numbers of the spectral projections for regular periodic eigenproblems. The main contribution is to derive explicit expressions of the condition numbers of the j-th left and right spectral projections.

    Numerical examples are given to illustrate the proposed condition numbers for the spectral projections associated with periodic eigenproblems.