A sequence of polynomials with optimal condition number

dc.contributor.author
Beltrán, Carlos
dc.contributor.author
Etayo, Ujué
dc.contributor.author
Marzo Sánchez, Jordi
dc.contributor.author
Ortega Cerdà, Joaquim
dc.date.issued
2020-12-23T12:37:29Z
dc.date.issued
2020-12-23T12:37:29Z
dc.date.issued
2021-01-01
dc.date.issued
2020-12-23T12:37:29Z
dc.identifier
0894-0347
dc.identifier
https://hdl.handle.net/2445/172911
dc.identifier
700566
dc.description.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.
dc.format
26 p.
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application/pdf
dc.format
application/pdf
dc.language
eng
dc.publisher
American Mathematical Society (AMS)
dc.relation
Versió postprint del document publicat a: https://doi.org/10.1090/jams/956
dc.relation
Journal of the American Mathematical Society, 2021, vol. 34, num. 1, p. 219-244
dc.relation
https://doi.org/10.1090/jams/956
dc.rights
cc-by-nc-nd (c) American Mathematical Society (AMS), 2021
dc.rights
http://creativecommons.org/licenses/by-nc-nd/3.0/es
dc.rights
info:eu-repo/semantics/openAccess
dc.source
Articles publicats en revistes (Matemàtiques i Informàtica)
dc.subject
Anàlisi numèrica
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Algorismes
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Anàlisi global (Matemàtica)
dc.subject
Numerical analysis
dc.subject
Algorithms
dc.subject
Global analysis (Mathematics)
dc.title
A sequence of polynomials with optimal condition number
dc.type
info:eu-repo/semantics/article
dc.type
info:eu-repo/semantics/acceptedVersion


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