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A sequence of well-conditioned polynomials

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ASCW03 - Approximation, sampling, and compression in high dimensional problems

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.

This talk is part of the Isaac Newton Institute Seminar Series series.

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Goldsmiths 1, Lecture Theatre, Department of Materials Science & Metallurgy Institute of Criminology, Sidgwick Avenue, Seminar room B3, CB3 9DA Department of Physics, University of Cambridge

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