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A sequence of polynomials with optimal condition number

Author

Beltrán, Carlos

Etayo, Ujué

Marzo Sánchez, Jordi

Ortega Cerdà, Joaquim

Publication date

2020-12-23T12:37:29Z

2020-12-23T12:37:29Z

2021-01-01

2020-12-23T12:37:29Z

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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.

Document Type

Article

Accepted version

Language

English

Subjects and keywords

Anàlisi numèrica; Algorismes; Anàlisi global (Matemàtica); Numerical analysis; Algorithms; Global analysis (Mathematics)

Publisher

American Mathematical Society (AMS)

Related items

Versió postprint del document publicat a: https://doi.org/10.1090/jams/956

Journal of the American Mathematical Society, 2021, vol. 34, num. 1, p. 219-244

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

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Rights

cc-by-nc-nd (c) American Mathematical Society (AMS), 2021

http://creativecommons.org/licenses/by-nc-nd/3.0/es

This item appears in the following Collection(s)

ISGlobal - Institut de Salut Global de Barcelona [60793]

Matemàtiques i Informàtica [1007]