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Computing the Lambert W function in arbitrary-precision complex interval arithmetic

hal.structure.identifierLithe and fast algorithmic number theory [LFANT]
hal.structure.identifierInstitut de Mathématiques de Bordeaux [IMB]
dc.contributor.authorJOHANSSON, Fredrik
dc.date.accessioned2024-04-04T02:57:36Z
dc.date.available2024-04-04T02:57:36Z
dc.date.issued2020-01
dc.identifier.issn1017-1398
dc.identifier.urihttps://oskar-bordeaux.fr/handle/20.500.12278/192579
dc.description.abstractEnWe describe an algorithm to evaluate all the complex branches of the Lambert W function with rigorous error bounds in interval arithmetic, which has been implemented in the Arb library. The classic 1996 paper on the Lambert W function by Corless et al. provides a thorough but partly heuristic numerical analysis which needs to be complemented with some explicit inequalities and practical observations about managing precision and branch cuts.
dc.language.isoen
dc.publisherSpringer Verlag
dc.title.enComputing the Lambert W function in arbitrary-precision complex interval arithmetic
dc.typeArticle de revue
dc.identifier.doi10.1007/s11075-019-00678-x
dc.subject.halInformatique [cs]/Logiciel mathématique [cs.MS]
dc.subject.halInformatique [cs]/Analyse numérique [cs.NA]
bordeaux.journalNumerical Algorithms
bordeaux.page221-242
bordeaux.volume83
bordeaux.hal.laboratoriesInstitut de Mathématiques de Bordeaux (IMB) - UMR 5251*
bordeaux.issue1
bordeaux.institutionUniversité de Bordeaux
bordeaux.institutionBordeaux INP
bordeaux.institutionCNRS
bordeaux.peerReviewedoui
hal.identifierhal-01519823
hal.version1
hal.popularnon
hal.audienceInternationale
hal.origin.linkhttps://hal.archives-ouvertes.fr//hal-01519823v1
bordeaux.COinSctx_ver=Z39.88-2004&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.jtitle=Numerical%20Algorithms&rft.date=2020-01&rft.volume=83&rft.issue=1&rft.spage=221-242&rft.epage=221-242&rft.eissn=1017-1398&rft.issn=1017-1398&rft.au=JOHANSSON,%20Fredrik&rft.genre=article


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