@article{10902/27732,
year = {2021},
url = {https://hdl.handle.net/10902/27732},
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.},
organization = {The first and second authors were partially supported by Ministerio de Econom´ıa y Competitividad, Gobierno de Espa˜na, through grants MTM2017-83816-P and MTM2017-90682-REDT, and by the Banco de Santander and Universidad de Cantabria grant 21.SI01.64658. The second author was also supported by the Austrian Science Fund FWF project F5503 (part of the Special Research Program (SFB) Quasi-Monte Carlo Methods: Theory and Applications). The third and fourth authors have been partially supported by grant MTM2017-83499-P by the Ministerio de Econom´ıa y Competitividad, Gobierno de Espa˜na and by the Generalitat de Catalunya (project 2017 SGR 358).},
publisher = {American Mathematical Society},
publisher = {Journal of the American Mathematical Society, 2021, 34, 219-244},
title = {A sequence of polynomials with optimal condition number},
author = {Beltrán Álvarez, Carlos and Etayo Rodríguez, Ujué and Marzo, Jordi and Ortega-Cerdá, Joaquim},
}