A sequence of polynomials with optimal condition number.

Carlos Beltrán,Ujué Etayo,Jordi Marzo,Joaquim Ortega-Cerdà

A sequence of polynomials with optimal condition number.

2019

Carlos Beltrán
Ujué Etayo
Jordi Marzo
Joaquim Ortega-Cerdà

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:

Mathematics
Mathematical analysis
Discrete mathematics
Condition number
Univariate
Polynomial

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