Approximate rational arithmetics and arbitrary precision computations
Numerical Analysis
2025-10-20 v1 Numerical Analysis
Abstract
We describe an approximate rational arithmetic with round-off errors (both absolute and relative) controlled by the user. The rounding procedure is based on the continued fraction expansion of real numbers. Results of computer experiments are given in order to compare efficiency and accuracy of different types of approximate arithmetics and rounding procedures.
Cite
@article{arxiv.math/0101152,
title = {Approximate rational arithmetics and arbitrary precision computations},
author = {Grigori Litvinov and Anatoli Rodionov and Andrei Chourkin},
journal= {arXiv preprint arXiv:math/0101152},
year = {2025}
}
Comments
11 pages, no figures