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Matematicheskie Zametki, 1997, Volume 61, Issue 3, Pages 381–390
DOI: https://doi.org/10.4213/mzm1512 (Mi mzm1512) 		 
This article is cited in 1 scientific paper (total in 1 paper)

On certain spectral properties of a quadratic self-adjoint matrix pencil with dominating main diagonals

L. I. Sukhocheva

Voronezh State University
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DOI: https://doi.org/10.4213/mzm1512
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.
Received: 10.02.1995
English version:
Mathematical Notes, 1997, Volume 61, Issue 3, Pages 313–320
DOI: https://doi.org/10.1007/BF02355413
Bibliographic databases:
UDC: 517
Language: Russian
Citation: L. I. Sukhocheva, “On certain spectral properties of a quadratic self-adjoint matrix pencil with dominating main diagonals”, Mat. Zametki, 61:3 (1997), 381–390; Math. Notes, 61:3 (1997), 313–320
Citation in format AMSBIB
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\pages 381--390
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\transl
\jour Math. Notes
\yr 1997
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\pages 313--320
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    • This publication is cited in the following 1 articles:
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