Preprints, Working Papers, ... Year : 2024

Criteria for a split real polynomial

Jean-Michel Billiot
Eric Fontenas

Abstract

In this article, we establish necessary and sufficient conditions for a polynomial of degree $n$ to have exactly $n$ real roots. A complete study of polynomials of degree five is carried out. The results are compared with those obtained using Sturm sequences.
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hal-04488836 , version 1 (05-03-2024)

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  • HAL Id : hal-04488836 , version 1

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Jean-Michel Billiot, Eric Fontenas. Criteria for a split real polynomial. 2024. ⟨hal-04488836⟩
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