Arb: Efficient Arbitrary-Precision Midpoint-Radius Interval Arithmetic
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Publication:4589506
DOI10.1109/TC.2017.2690633zbMATH Open1388.65037arXiv1611.02831OpenAlexW2552835512MaRDI QIDQ4589506
Author name not available (Why is that?)
Publication date: 10 November 2017
Published in: (Search for Journal in Brave)
Abstract: 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 non-interval 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.
Full work available at URL: https://arxiv.org/abs/1611.02831
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