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JOURNALS // Program Systems: Theory and Applications // Archive

Program Systems: Theory and Applications, 2015 Volume 6, Issue 2, Pages 101–117 (Mi ps171)

This article is cited in 3 papers

Mathematical Foundations of Programming

Parallel addition of real numbers in overlaying numeration systems

A. B. Shvorin

Ailamazyan Program System Institute of RAS

Abstract: Real numbers interval representation in overlaying numeration systems is defined and studied in this paper. The considered problem concerns addition of a group of numbers represented in such systems. All the solutions of this problem are classified, a class of parallelizable solutions is described, and also there are introduced two parallel algorithms. Limitations of system parameters are found in order to provide the given accuracy (In Russian).

Key words and phrases: data representation, real numbers, numeration system, addition, parallel algorithms.

UDC: 004.222.3, 517.13

Received: 14.05.2015
Accepted: 25.05.2015



© Steklov Math. Inst. of RAS, 2026