2 papers
math.NA2020
Finding polynomial roots by dynamical systems -- a case study
Sergey Shemyakov, Roman Chernov, Dzmitry Rumiantsau +3
We investigate two well known dynamical systems that are designed to find roots of univariate polynomials by iteration: the methods known by Newton and by Ehrlich-Aberth. Both are…
math.DG2018
A sausage body is a unique solution for a reverse isoperimetric problem
Roman Chernov, Kostiantyn Drach, Kateryna Tatarko
We consider the class of -concave bodies in ; that is, convex bodies with the property that each of their boundary points supports a tangent ball of radius $1/λ…