New Sufficient Conditions for the Computation of Generalized Eigenvalues

Аммар Хеллаф, Wassim Merchela, Hamza Guebbaï · Russian Mathematics · 2021

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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