2 citations · 2 across the 4 of their papers we have counts for
4 papers
Some Computational Tools for Solving a Selection of Problems in Control Theory
Alexander Demin, Christina Katsamaki, Fabrice Rouillier
This paper demonstrates how certified computational tools can be used to address various problems in control theory. In particular, we introduce PACE.jl, a Julia package that imple…
On Isolating Roots in a Multiple Field Extension
Christina Katsamaki, Fabrice Rouillier
We address univariate root isolation when the polynomial's coefficients are in a multiple field extension. We consider a polynomial , where is a multiple algebraic…
On the Error of Random Sampling: Uniformly Distributed Random Points on Parametric Curves
Apostolos Chalkis, Christina Katsamaki, Josué Tonelli-Cueto
Given a parametric polynomial curve , how can we sample a random point in such a way that it is distributed unifor…
PTOPO: Computing the Geometry and the Topology of Parametric Curves
Christina Katsamaki, Fabrice Rouillier, Elias Tsigaridas
We consider the problem of computing the topology and describing the geometry of a parametric curve in . We present an algorithm, PTOPO, that constructs an abstract g…