Geodesic
New sufficient conditions for the computation of generalized eigenvalues
Izvestiâ vysših učebnyh zavedenij. Matematika, no. 2 (2021), pp. 74-78

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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. 
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     author = {A. Khellaf and W. Merchela and H. Guebbai},
     title = {New sufficient conditions for the computation of generalized eigenvalues},
     journal = {Izvesti\^a vys\v{s}ih u\v{c}ebnyh zavedenij. Matematika},
     pages = {74--78},
     publisher = {mathdoc},
     number = {2},
     year = {2021},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/IVM_2021_2_a5/}
}
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A. Khellaf; W. Merchela; H. Guebbai. New sufficient conditions for the computation of generalized eigenvalues. Izvestiâ vysših učebnyh zavedenij. Matematika, no. 2 (2021), pp. 74-78. http://geodesic.mathdoc.fr/item/IVM_2021_2_a5/