A sequence of polynomials with optimal condition number
Complex Variables
2021-06-29 v1
Abstract
We find an explicit sequence of univariate polynomials of arbitrary degree with optimal condition number. This solves a problem posed by Michael Shub and Stephen Smale in 1993.
Keywords
Cite
@article{arxiv.1903.01356,
title = {A sequence of polynomials with optimal condition number},
author = {Carlos Beltrán and Ujué Etayo and Jordi Marzo and Joaquim Ortega-Cerdà},
journal= {arXiv preprint arXiv:1903.01356},
year = {2021}
}