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A sequence of polynomials with optimal condition number
Journal of the American Mathematical Society ( IF 3.9 ) Pub Date : 2020-12-08 , DOI: 10.1090/jams/956
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.

中文翻译:

具有最优条件数的多项式序列

我们找到了具有最佳条件数的任意次数的单变量多项式的显式序列。这解决了 Michael Shub 和 Stephen Smale 在 1993 年提出的问题。
更新日期:2020-12-08
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