Geodesic
On certain spectral properties of a~quadratic self-adjoint matrix pencil with dominating main diagonals
Matematičeskie zametki, Tome 61 (1997) no. 3, pp. 381-390.

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Sufficient conditions for the “separation of the spectrum” of a quadratic matrix pencil with self-adjoint coefficients are found. A criterion for the representability of a positive operator in a finite-dimensional space in the form of a matrix with dominating main diagonal in each orthonormal basis is obtained. 
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     title = {On certain spectral properties of a~quadratic self-adjoint matrix pencil with dominating main diagonals},
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L. I. Sukhocheva. On certain spectral properties of a~quadratic self-adjoint matrix pencil with dominating main diagonals. Matematičeskie zametki, Tome 61 (1997) no. 3, pp. 381-390. http://geodesic.mathdoc.fr/item/MZM_1997_61_3_a6/

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