Rémi Imbach

most citedNumeric certified algorithm for the topology of resultant and discriminant curves

1 citations · 1 across the 2 of their papers we have counts for

collaborators

2 papers

cs.SC2023

Fast evaluation and root finding for polynomials with floating-point coefficients

Rémi Imbach, Guillaume Moroz

Evaluating or finding the roots of a polynomial $f (z) = f_{0} + \dots + f_{d} z^{d}$ with floating-point number coefficients is a ubiquitous problem. By using a piecewise approximation…

cs.CG2014★ 1 cited

Numeric certified algorithm for the topology of resultant and discriminant curves

Rémi Imbach, Guillaume Moroz, Marc Pouget

Let $C$ be a real plane algebraic curve defined by the resultant of two polynomials (resp. by the discriminant of a polynomial). Geometrically such a curve is the projecti…