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Self-contracted curves are gradient flows of convex functions

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dc.contributor.authorDurand Cartagena, Estibalitz
dc.contributor.authorLemenant, Antoine
dc.date.accessioned2024-12-03T13:22:13Z
dc.date.available2024-12-03T13:22:13Z
dc.date.issued2019-02-14
dc.descriptionThe registered version of this article, first published in REVISTA, is available online at the publisher's website: American Mathematical Society, https://doi.org/10.1090/proc/14407
dc.descriptionLa versión registrada de este artículo, publicado por primera vez en REVISTA, está disponible en línea en el sitio web del editor: American Mathematical Society, https://doi.org/10.1090/proc/14407
dc.description.abstractIn this paper we prove that any C1, 1/2 curve in Rn, is the solution of the gradient flow equation for some C1 convex function f, if and only if it is strongly self-contracted.en
dc.description.provenanceMade available in DSpace on 2024-12-03T13:22:13Z (GMT). No. of bitstreams: 1 Self-contracted curves are gradient flows.pdf: 360420 bytes, checksum: dc8fe0293ee304d53d628c40380f1633 (MD5) Previous issue date: 2019-02-14en
dc.description.versionversión final
dc.identifier.citationE. Durand-Cartagena, A. Lemenant, Self-contracted curves are gradient flows of convex functions, Proceedings of the American Mathematical Society 147 (2019), 2517-2531 https://doi.org/10.1090/proc/14407
dc.identifier.doihttps://doi.org/10.1090/proc/14407
dc.identifier.issn1088-6826
dc.identifier.urihttps://hdl.handle.net/20.500.14468/24676
dc.journal.issue147
dc.journal.titleProceedings of the American Mathematical Society
dc.language.isoen
dc.page.final2531
dc.page.initial2517
dc.publisherAmerican Mathematical Society
dc.relation.centerE.T.S. de Ingenieros Industriales
dc.relation.departmentMatemática Aplicada I
dc.rightsinfo:eu-repo/semantics/openAccess
dc.rights.urihttp://creativecommons.org/licenses/by-nc-nd/4.0/deed.es
dc.subject12 Matemáticas
dc.subject.keywordsself-contracted curvesen
dc.subject.keywordsgradient flow equationen
dc.subject.keywordsconvex analysisen
dc.subject.keywordsconvex optimizationen
dc.subject.keywordsconvex extensionen
dc.subject.keywordsanalysis in metric spacesen
dc.titleSelf-contracted curves are gradient flows of convex functionsen
dc.typejournal articleen
dspace.entity.typePublication
relation.isAuthorOfPublicationd59ccac2-efd7-4059-9e2b-d7fc36689f85
relation.isAuthorOfPublication.latestForDiscoveryd59ccac2-efd7-4059-9e2b-d7fc36689f85
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