A sequence of polynomials with optimal condition number

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dc.contributor.authorBeltrán, Carlos
dc.contributor.authorEtayo, Ujué
dc.contributor.authorMarzo Sánchez, Jordi
dc.contributor.authorOrtega Cerdà, Joaquim
dc.date.accessioned2020-12-23T12:37:29Z
dc.date.available2020-12-23T12:37:29Z
dc.date.issued2021-01-01
dc.date.updated2020-12-23T12:37:29Z
dc.description.abstractWe 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.extent26 p.
dc.format.mimetypeapplication/pdf
dc.identifier.idgrec700566
dc.identifier.issn0894-0347
dc.identifier.urihttps://hdl.handle.net/2445/172911
dc.language.isoeng
dc.publisherAmerican Mathematical Society (AMS)
dc.relation.isformatofVersió postprint del document publicat a: https://doi.org/10.1090/jams/956
dc.relation.ispartofJournal of the American Mathematical Society, 2021, vol. 34, num. 1, p. 219-244
dc.relation.urihttps://doi.org/10.1090/jams/956
dc.rightscc-by-nc-nd (c) American Mathematical Society (AMS), 2021
dc.rights.accessRightsinfo:eu-repo/semantics/openAccess
dc.rights.urihttp://creativecommons.org/licenses/by-nc-nd/3.0/es
dc.sourceArticles publicats en revistes (Matemàtiques i Informàtica)
dc.subject.classificationAnàlisi numèrica
dc.subject.classificationAlgorismes
dc.subject.classificationAnàlisi global (Matemàtica)
dc.subject.otherNumerical analysis
dc.subject.otherAlgorithms
dc.subject.otherGlobal analysis (Mathematics)
dc.titleA sequence of polynomials with optimal condition number
dc.typeinfo:eu-repo/semantics/article
dc.typeinfo:eu-repo/semantics/acceptedVersion

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