Lobachevskii Journal of Mathematics

, Volume 39, Issue 9, pp 1388–1395 | Cite as

A Note On Generalized Spectrum Approximation

  • Ammar Khellaf
  • Hamza Guebbai
Part 2. Special issue “Actual Problems of Algebra and Analysis” Editors: A. M. Elizarov and E. K. Lipachev


The purpose of this paper is to solve the spectral pollution. We suggest a modern method based on generalized spectral techniques, where we show that the propriety L is hold with norm convergence. In addition, we prove that under collectively compact convergence the proprieties U and L are hold. We describe the theoretical foundations of the method in details, as well as illustrate its effectiveness by numerical results.

Keywords and phrases

spectral pollution generalized spectrum proprieties U and L 


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Copyright information

© Pleiades Publishing, Ltd. 2018

Authors and Affiliations

  1. 1.Laboratoire des Mathmatiques Appliques et ModlisationUniversité de 8 Mai 1945 de GuelmaGuelmaAlgeria

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