A New Dividing Method in Affine Arithmetic

Shinya Miyajima*, Takatomi Miyata, Masahide Kashiwagi

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

7 Citations (Scopus)


Affine arithmetic is a kind of interval arithmetic defined by Stolfi et al. In affine arithmetic, it is difficult to realize the efficient nonlinear binomial operations. The purpose of this letter is to propose a new dividing method which is able to supply more suitable evaluation than the old dividing method. And this letter also shows the efficiency of the new dividing method by numerical examples.

Original languageEnglish
Pages (from-to)2192-2196
Number of pages5
JournalIEICE Transactions on Fundamentals of Electronics, Communications and Computer Sciences
Issue number9
Publication statusPublished - 2003 Sept


  • Affine arithmetic
  • Division
  • Interval arithmetic
  • Numerical computation with guaranteed accuracy

ASJC Scopus subject areas

  • Signal Processing
  • Computer Graphics and Computer-Aided Design
  • Electrical and Electronic Engineering
  • Applied Mathematics


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