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New Sufficient Conditions for the Computation of Generalized Eigenvalues

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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.

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REFERENCES

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  9. Khellaf, A. “New sufficient conditions in the generalized spectrum approach to deal with spectral pollution”, Vestnik Tambovskogo universiteta. Seriya: estestvennye i tekhnicheskie nauki – Tambov University Reports. Series: Natural and Technical Sciences 23 (124), 595–604 (2018).

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ACKNOWLEDGMENTS

The authors would like to express their cordial gratitude to the referee for his/her kind comments.

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Correspondence to A. Khellaf, W. Merchela or H. Guebbai.

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Russian Text © The Author(s), 2021, published in Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2021, No. 2, pp. 74–78.

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Khellaf, A., Merchela, W. & Guebbai, H. New Sufficient Conditions for the Computation of Generalized Eigenvalues. Russ Math. 65, 65–68 (2021). https://doi.org/10.3103/S1066369X21020067

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  • DOI: https://doi.org/10.3103/S1066369X21020067

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