A sequence of polynomials with optimal condition number

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URI: https://hdl.handle.net/10902/27732
ISSN: 0894-0347
ISSN: 1088-6834
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Autoría
Beltrán Álvarez, CarlosAutoridad Unican; Etayo Rodríguez, UjuéAutoridad Unican; Marzo, Jordi; Ortega-Cerdá, Joaquim
Fecha
2021
Derechos
© American Mathematical Society. First published in Journal of the American Mathematical Society iin vol. 34 (2021), published by the American Mathematical Society
Publicado en
Journal of the American Mathematical Society, 2021, 34, 219-244
Editorial
American Mathematical Society
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Resumen/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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