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arXiv · 1903.01356

A sequence of polynomials with optimal condition number

Carlos Beltrán·Ujué Etayo·Jordi Marzo·Joaquim Ortega-Cerdà
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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.

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Carlos Beltrán, Ujué Etayo, Jordi Marzo, Joaquim Ortega-Cerdà. 2019-03-04. A sequence of polynomials with optimal condition number. https://doi.org/10.1090/jams/956

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