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 
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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     author = {L. I. Sukhocheva},
     title = {On certain spectral properties of a~quadratic self-adjoint matrix pencil with dominating main diagonals},
     journal = {Matemati\v{c}eskie zametki},
     pages = {381--390},
     year = {1997},
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     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_1997_61_3_a6/}
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Voir la notice de l'article provenant de la source Math-Net.Ru

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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