On certain spectral properties of a quadratic self-adjoint matrix pencil with dominating main diagonals |
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| Authors: | L I Sukhocheva |
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| Institution: | (1) Institute of Mathematics, Voronezh State University, Voronezh, USSR |
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| Abstract: | 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.
Translated fromMatematicheskie Zametki, Vol. 61, No. 3, pp. 381–390, March, 1997.
Translated by A. I. Shtern |
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| Keywords: | quadratic self-adjoint operator pencil compact operator Routh-Hurwitz criterion |
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