Arb: Efficient Arbitrary-Precision Midpoint-Radius Interval Arithmetic
Idioma
en
Article de revue
Este ítem está publicado en
IEEE Transactions on Computers. 2017-08-01, vol. 66, n° 8, p. 1281 - 1292
Institute of Electrical and Electronics Engineers
Resumen en inglés
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 ...Leer más >
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.< Leer menos
Palabras clave en inglés
Arbitrary-precision arithmetic
interval arithmetic
polynomial arithmetic
floating-point arithmetic
Proyecto europeo
Algorithmic Number Theory in Computer Science
Orígen
Importado de HalCentros de investigación