A New Dividing Method in Affine Arithmetic
Summary :
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.
- Publication
- IEICE TRANSACTIONS on Fundamentals Vol.E86-A No.9 pp.2192-2196
- Publication Date
- 2003/09/01
- Publicized
- Online ISSN
- DOI
- Type of Manuscript
- Special Section LETTER (Special Section on Nonlinear Theory and its Applications)
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Shinya MIYAJIMA, Takatomi MIYATA, Masahide KASHIWAGI, "A New Dividing Method in Affine Arithmetic" in IEICE TRANSACTIONS on Fundamentals,
vol. E86-A, no. 9, pp. 2192-2196, September 2003, doi: .
Abstract: 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.
URL: https://global.ieice.org/en_transactions/fundamentals/10.1587/e86-a_9_2192/_p
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@ARTICLE{e86-a_9_2192,
author={Shinya MIYAJIMA, Takatomi MIYATA, Masahide KASHIWAGI, },
journal={IEICE TRANSACTIONS on Fundamentals},
title={A New Dividing Method in Affine Arithmetic},
year={2003},
volume={E86-A},
number={9},
pages={2192-2196},
abstract={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.},
keywords={},
doi={},
ISSN={},
month={September},}
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TY - JOUR
TI - A New Dividing Method in Affine Arithmetic
T2 - IEICE TRANSACTIONS on Fundamentals
SP - 2192
EP - 2196
AU - Shinya MIYAJIMA
AU - Takatomi MIYATA
AU - Masahide KASHIWAGI
PY - 2003
DO -
JO - IEICE TRANSACTIONS on Fundamentals
SN -
VL - E86-A
IS - 9
JA - IEICE TRANSACTIONS on Fundamentals
Y1 - September 2003
AB - 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.
ER -
English
