Mohamed Chaouki Tarchi

activity

20202025

most citedSign patterns and rigid moduli orders

1 citations · 1 across the 3 of their papers we have counts for

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math.CA2023

Degree $6$ hyperbolic polynomials and orders of moduli

Yousra Gati, Vladimir Petrov Kostov, Mohamed Chaouki Tarchi

We consider real univariate degree $d$ real-rooted polynomials with non-vanishing coefficients. Descartes' rule of signs implies that such a polynomial has $c ~$ positive and…

math.CA2023

Further than Descartes' rule of signs

Yousra Gati, Vladimir Petrov Kostov, Mohamed Chaouki Tarchi

The {\em sign pattern} defined by the real polynomial $Q := Σ_{j = 0}^{d} a_{j} x^{j}$ , $a_{j} \neq = 0$ , is the string $σ (Q) := (sgn (a_{d}), \dots, sgn (a_{0}))$ . The quantities $…

math.CA2020★ 1 cited

Sign patterns and rigid moduli orders

Yousra Gati, Vladimir Petrov Kostov, Mohamed Chaouki Tarchi

We consider the set of monic degree $d$ real univariate polynomials $Q_{d} = x^{d} + \sum_{j = 0}^{d - 1} a_{j} x^{j}$ and its {\em hyperbolicity domain} $Π_{d}$ , i.e. the subset of values of the coef…

Degree 6 hyperbolic polynomials and orders of moduli

Further than Descartes' rule of signs

Sign patterns and rigid moduli orders

Degree $6$ hyperbolic polynomials and orders of moduli