Y. Gati

activity

20032026

most citedDescartes' rule of signs, Rolle's theorem and sequences of admissible pairs

5 citations · 7 across the 10 of their papers we have counts for

collaborators

Showing 2020Show all

2 papers · 1 filter

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…

math.CA2020★ 1 cited

Degree 5 polynomials and Descartes' rule of signs

Hassen Cheriha, Yousra Gati, Vladimir Petrov Kostov

For a univariate real polynomial without zero coefficients, Descartes' rule of signs (completed by an observation of Fourier) says that its numbers $p os$ of positive and $n e g$ of n…