A sequence of polynomials with optimal condition number

Beltrán, CarlosEtayo, UjuéMarzo Sánchez, JordiOrtega Cerdà, Joaquim2020-12-232020-12-232021-01-010894-0347https://hdl.handle.net/2445/172911We 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 1993.26 p.application/pdfengcc-by-nc-nd (c) American Mathematical Society (AMS), 2021http://creativecommons.org/licenses/by-nc-nd/3.0/esAnàlisi numèricaAlgorismesAnàlisi global (Matemàtica)Numerical analysisAlgorithmsGlobal analysis (Mathematics)A sequence of polynomials with optimal condition numberinfo:eu-repo/semantics/article7005662020-12-23info:eu-repo/semantics/openAccess