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Matematicheskie Zametki, 2008, Volume 83, Issue 6, Pages 825–830
DOI: https://doi.org/10.4213/mzm4842 (Mi mzm4842) 		 
This article is cited in 1 scientific paper (total in 1 paper)

On a Class of Hyperbolic Polynomials

N. A. Zhura

P. N. Lebedev Physical Institute, Russian Academy of Sciences
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DOI: https://doi.org/10.4213/mzm4842
Abstract: In the present paper, we investigate whether the roots of a biquadratic equation determined by a pair of real symmetric positive definite matrices of order 3 and a three-dimensional vector of parameters are real. We obtain the explicit representation of the discriminant of such a polynomial as the sum of at most two squares.
Keywords: biquadratic equation, real roots, hyperbolic polynomial, biquadratic form, trace of a matrix, skew-symmetric matrix.
Received: 25.12.2006
Revised: 07.08.2007
English version:
Mathematical Notes, 2008, Volume 83, Issue 6, Pages 753–758
DOI: https://doi.org/10.1134/S0001434608050210
Bibliographic databases:
UDC: 517.9
Language: Russian
Citation: N. A. Zhura, “On a Class of Hyperbolic Polynomials”, Mat. Zametki, 83:6 (2008), 825–830; Math. Notes, 83:6 (2008), 753–758
Citation in format AMSBIB
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    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Математические заметки Mathematical Notes
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