Approximate rational arithmetics and arbitrary precision computations

Details Approximate rational arithmetics and arbitrary precision computations Approximate rational arithmetics and arbitrary precision computations

2001-01-18

arxiv.org/abs/math/0101152v1

Mathematics

Numerical Analysis

11 pages, no figures

Scientific paper

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.

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