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A sequence of polynomials with optimal condition number

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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.

 Fuente: Journal of the American Mathematical Society, 2021, 34, 219-244

 Publisher: American Mathematical Society

 Year of publication: 2021

 No. of pages: 26

 Publication type: Article

 DOI: 10.1090/jams/956

 ISSN: 0894-0347,1088-6834

 Spanish project: MTM2017-83816-P

 Publication Url: https://doi.org/10.1090/jams/956

Authorship

CARLOS BELTRAN ALVAREZ

MARIA DE UJUE ETAYO RODRIGUEZ

MARZO, JORDI

ORTEGA-CERDÁ, JOAQUIM

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