A Note On Generalized Spectrum Approximation
- Authors: Khellaf A.1, Guebbai H.1
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Affiliations:
- Laboratoire des Mathmatiques Appliques et Modlisation
- Issue: Vol 39, No 9 (2018)
- Pages: 1388-1395
- Section: Part 2. Special issue “Actual Problems of Algebra and Analysis” Editors: A. M. Elizarov and E. K. Lipachev
- URL: https://journals.rcsi.science/1995-0802/article/view/203392
- DOI: https://doi.org/10.1134/S1995080218090263
- ID: 203392
Cite item
Abstract
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.
About the authors
Ammar Khellaf
Laboratoire des Mathmatiques Appliques et Modlisation
Author for correspondence.
Email: marlasix@gmail.com
Algeria, Guelma, 24000
Hamza Guebbai
Laboratoire des Mathmatiques Appliques et Modlisation
Email: marlasix@gmail.com
Algeria, Guelma, 24000