On sign-definiteness of skew-characteristic polynomials

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Doklady Bashkirskogo Universiteta. 2016. Volume 1. No. 1. pp. 32-35.

Authors

Sharipov R. A.*
Bashkir State University
32 Zaki Validi st., 450074 Ufa, Republic of Bashkortostan, Russia

Abstract

A result is discussed consisting in the proof of the sign-definiteness of skew-characteristic polynomials for sign-definite quadratic forms and the problem on their reducibility to polynomial sums of squares is formulated.

Keywords

  • quadratic forms
  • skew-characteristic polynomials
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