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Abstract
In the present paper, symmetric matrix eigenvalue problems with nonlinear dependence on the spectral parameter on an interval of the real line are studied. To compute eigenvalues, method of spectrum division is proposed and investigated. This method is based on the triangular factorization and Silvester theorem on inertia.
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1 Kazan Federal University, 18 Kremlevskaya Street, Kazan, 420008, Russia