4 citations · 11 across the 5 of their papers we have counts for
6 papers
Optimal Descartes' Rule of Signs for Circuits
Frédéric Bihan, Alicia Dickenstein, Jens Forsgård
We present an optimal version of Descartes' rule of signs to bound the number of positive real roots of a sparse system of polynomial equations in n variables with n+2 monomials. T…
The algebraic boundary of the sonc cone
Jens Forsgård, Timo de Wolff
In this article, we explore the connections between nonnegativity, the theory of -discriminants, and tropical geometry. For an integral support set , we…
New Subexponential Fewnomial Hypersurface Bounds
Jens Forsgård, Mounir Nisse, J. Maurice Rojas
Suppose are real numbers, is a set of points not all lying in the same affine hyperplane, $y\!\in\!\mathbb{R}^n…
Lopsided Approximation of Amoebas
Jens Forsgård, Laura Felicia Matusevich, Nathan Mehlhop +1
The amoeba of a Laurent polynomial is the image of the corresponding hypersurface under the coordinatewise log absolute value map. In this article, we demonstrate that a theoretica…
Could René Descartes have known this?
Jens Forsgard, Vladimir P. Kostov, Boris Shapiro
Below we discuss the partition of the space of real univariate polynomials according to the number of positive and negative roots and signs of the coefficients. We present several…
On the order map for hypersurface coamoebas
Jens Forsgård, Petter Johansson
Given a hypersurface coamoeba of a Laurent polynomial f, it is an open problem to describe the structure of its set of connected complement components. In this paper we approach th…