Afficher la notice abrégée

hal.structure.identifierLithe and fast algorithmic number theory [LFANT]
dc.contributor.authorJOHANSSON, Fredrik
dc.date.accessioned2024-04-04T03:06:56Z
dc.date.available2024-04-04T03:06:56Z
dc.date.issued2017-08-01
dc.identifier.issn0018-9340
dc.identifier.urihttps://oskar-bordeaux.fr/handle/20.500.12278/193383
dc.description.abstractEnArb is a C library for arbitrary-precision interval arithmetic using the midpoint-radius representation, also known as ball arithmetic. It supports real and complex numbers, polynomials, power series, matrices, and evaluation of many special functions. The core number types are designed for versatility and speed in a range of scenarios, allowing performance that is competitive with noninterval arbitrary-precision types such as MPFR and MPC floating-point numbers. We discuss the low-level number representation, strategies for precision and error bounds, and the implementation of efficient polynomial arithmetic with interval coefficients.
dc.language.isoen
dc.publisherInstitute of Electrical and Electronics Engineers
dc.subject.enArbitrary-precision arithmetic
dc.subject.eninterval arithmetic
dc.subject.enpolynomial arithmetic
dc.subject.enfloating-point arithmetic
dc.title.enArb: Efficient Arbitrary-Precision Midpoint-Radius Interval Arithmetic
dc.typeArticle de revue
dc.identifier.doi10.1109/TC.2017.2690633
dc.subject.halInformatique [cs]/Logiciel mathématique [cs.MS]
dc.subject.halInformatique [cs]/Analyse numérique [cs.NA]
dc.description.sponsorshipEuropeAlgorithmic Number Theory in Computer Science
bordeaux.journalIEEE Transactions on Computers
bordeaux.page1281 - 1292
bordeaux.volume66
bordeaux.hal.laboratoriesInstitut de Mathématiques de Bordeaux (IMB) - UMR 5251*
bordeaux.issue8
bordeaux.institutionUniversité de Bordeaux
bordeaux.institutionBordeaux INP
bordeaux.institutionCNRS
bordeaux.peerReviewedoui
hal.identifierhal-01394258
hal.version1
hal.popularnon
hal.audienceInternationale
hal.origin.linkhttps://hal.archives-ouvertes.fr//hal-01394258v1
bordeaux.COinSctx_ver=Z39.88-2004&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.jtitle=IEEE%20Transactions%20on%20Computers&rft.date=2017-08-01&rft.volume=66&rft.issue=8&rft.spage=1281%20-%201292&rft.epage=1281%20-%201292&rft.eissn=0018-9340&rft.issn=0018-9340&rft.au=JOHANSSON,%20Fredrik&rft.genre=article


Fichier(s) constituant ce document

FichiersTailleFormatVue

Il n'y a pas de fichiers associés à ce document.

Ce document figure dans la(les) collection(s) suivante(s)

Afficher la notice abrégée