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

This article is cited in 3 scientific papers (total 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
Full-text PDF (709 kB) Citations (3)
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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.
Received: 14.05.2015
Accepted: 25.05.2015
Document Type: Article
UDC: 004.222.3, 517.13
Language: Russian
Citation: A. B. Shvorin, “Parallel addition of real numbers in overlaying numeration systems”, Program Systems: Theory and Applications, 6:2 (2015), 101–117
Citation in format AMSBIB
\Bibitem{Shv15}
\by A.~B.~Shvorin
\paper Parallel addition of real numbers in overlaying numeration systems
\jour Program Systems: Theory and Applications
\yr 2015
\vol 6
\issue 2
\pages 101--117
\mathnet{http://mi.mathnet.ru/ps171}
Linking options:
  • https://www.mathnet.ru/eng/ps171
  • https://www.mathnet.ru/eng/ps/v6/i2/p101
  • This publication is cited in the following 3 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Program Systems: Theory and Applications
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    Abstract page:196
    Full-text PDF :81
    References:35
     
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