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Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2021, Number 2, Pages 74–78
DOI: https://doi.org/10.26907/0021-3446-2021-2-74-78 (Mi ivm9649) 		 
This article is cited in 4 scientific papers (total in 4 papers)

New sufficient conditions for the computation of generalized eigenvalues

A. Khellafab, W. Merchelacb, H. Guebbaib

a Ecole Nationale Polytechnique de Constantine, BP 75 A New University Town of Ali Mendjeli, Constantine, 25000 Algeria
b Laboratoire des Mathématiques Appliquées et Modélisation, 8 May 1945 Guelma University, BP 401, Guelma, 24000 Algeria
c Derzhavin Tambov State University, 33 Internatsionalnaya str., Tambov, 392000 Russia
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DOI: https://doi.org/10.26907/0021-3446-2021-2-74-78
Abstract: The purpose of this paper is to give new sufficient conditions for solving numerically a generalized spectrum problem known in the literature as the problem of spectrum approximation of quadratic operator pencils. The new sufficient conditions obtained here are weaker than the norm convergence and the collectively compact convergence, thus they extend some previous results existing in the literature.
Keywords: generalized spectrum, generalized eigenvalue, spectrum of an operator pencil.
Received: 07.04.2020
Revised: 07.04.2020
Accepted: 29.06.2020
English version:
Russian Mathematics (Izvestiya VUZ. Matematika), 2021, Volume 65, Issue 2, Pages 65–68
DOI: https://doi.org/10.3103/S1066369X21020067
Bibliographic databases:
Document Type: Article
UDC: 517.98
Language: Russian
Citation: A. Khellaf, W. Merchela, H. Guebbai, “New sufficient conditions for the computation of generalized eigenvalues”, Izv. Vyssh. Uchebn. Zaved. Mat., 2021, no. 2, 74–78; Russian Math. (Iz. VUZ), 65:2 (2021), 65–68
Citation in format AMSBIB
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    • This publication is cited in the following 4 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Известия высших учебных заведений. Математика Russian Mathematics (Izvestiya VUZ. Matematika)
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