Arb: Efficient Arbitrary-Precision Midpoint-Radius Interval Arithmetic
Langue
en
Article de revue
Ce document a été publié dans
IEEE Transactions on Computers. 2017-08-01, vol. 66, n° 8, p. 1281 - 1292
Institute of Electrical and Electronics Engineers
Résumé en anglais
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 ...Lire la suite >
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.< Réduire
Mots clés en anglais
Arbitrary-precision arithmetic
interval arithmetic
polynomial arithmetic
floating-point arithmetic
Projet Européen
Algorithmic Number Theory in Computer Science
Origine
Importé de halUnités de recherche