A sequence of well-conditioned polynomials

Duration: 43 mins 54 secs
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Description: Ortega-Cerdà, J
Tuesday 18th June 2019 - 13:30 to 14:20
 
Created: 2019-06-19 09:00
Collection: Approximation, sampling, and compression in high dimensional problems
Publisher: Isaac Newton Institute
Copyright: Ortega-Cerdà, J
Language: eng (English)
 
Abstract: We find an explicit sequence of polynomials of arbitrary degree with small condition number. This solves a problem posed by Michael Shub and Stephen Smale in 1993. This is joint work together with Carlos Beltran, Ujué Etayo and Jordi Marzo.
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