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2021-01-01

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cc-by-nc-nd (c) American Mathematical Society (AMS), 2021
Please use this identifier to cite or link to this item: https://hdl.handle.net/2445/172911

A sequence of polynomials with optimal condition number

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

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.

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Anàlisi numèrica, Algorismes, Anàlisi global (Matemàtica)

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Numerical analysis, Algorithms, Global analysis (Mathematics)

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Articles publicats en revistes (Matemàtiques i Informàtica)

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BELTRÁN, Carlos, et al. A sequence of polynomials with optimal condition number. Journal of the American Mathematical Society. 2021. Vol. 34, num. 1, pags. 219-244. ISSN 0894-0347. [consulted: 18 of June of 2026]. Available at: https://hdl.handle.net/2445/172911

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