arXiv subjects

Anatoli Rodionov

Publications and source records attributed to Anatoli Rodionov.

2 recordsLinked to original sources

arXiv2001

Approximate rational arithmetics and arbitrary precision computations

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.

math.NA↗

arXiv2001

A unifying approach to software and hardware design for scientific calculations and idempotent mathematics

A unifying approach to software and hardware design generated by ideas of Idempotent Mathematics is discussed. The so-called idempotent correspondence principle for algorithms, programs and hardware units is described. A software project based on this approach is presented.

math.NA↗