Arb: Efficient Arbitrary-Precision Midpoint-Radius Interval Arithmetic
| hal.structure.identifier | Lithe and fast algorithmic number theory [LFANT] | |
| dc.contributor.author | JOHANSSON, Fredrik | |
| dc.date.accessioned | 2024-04-04T03:06:56Z | |
| dc.date.available | 2024-04-04T03:06:56Z | |
| dc.date.issued | 2017-08-01 | |
| dc.identifier.issn | 0018-9340 | |
| dc.identifier.uri | https://oskar-bordeaux.fr/handle/20.500.12278/193383 | |
| dc.description.abstractEn | Arb 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.iso | en | |
| dc.publisher | Institute of Electrical and Electronics Engineers | |
| dc.subject.en | Arbitrary-precision arithmetic | |
| dc.subject.en | interval arithmetic | |
| dc.subject.en | polynomial arithmetic | |
| dc.subject.en | floating-point arithmetic | |
| dc.title.en | Arb: Efficient Arbitrary-Precision Midpoint-Radius Interval Arithmetic | |
| dc.type | Article de revue | |
| dc.identifier.doi | 10.1109/TC.2017.2690633 | |
| dc.subject.hal | Informatique [cs]/Logiciel mathématique [cs.MS] | |
| dc.subject.hal | Informatique [cs]/Analyse numérique [cs.NA] | |
| dc.description.sponsorshipEurope | Algorithmic Number Theory in Computer Science | |
| bordeaux.journal | IEEE Transactions on Computers | |
| bordeaux.page | 1281 - 1292 | |
| bordeaux.volume | 66 | |
| bordeaux.hal.laboratories | Institut de Mathématiques de Bordeaux (IMB) - UMR 5251 | * |
| bordeaux.issue | 8 | |
| bordeaux.institution | Université de Bordeaux | |
| bordeaux.institution | Bordeaux INP | |
| bordeaux.institution | CNRS | |
| bordeaux.peerReviewed | oui | |
| hal.identifier | hal-01394258 | |
| hal.version | 1 | |
| hal.popular | non | |
| hal.audience | Internationale | |
| hal.origin.link | https://hal.archives-ouvertes.fr//hal-01394258v1 | |
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