On Range Inclusion of Polynomials Applying Interval Arithmetic
Summary :
Interval arithmetic is able to be applied when we include the ranges of various functions. When we include them applying the interval arithmetic, the serious problem that the widths of the range inclusions increase extremely exists. In range inclusion of polynomials particularly, Horner's method and Alefeld's method are well known as the conventional methods which mitigates this problem. The purpose of this paper is to propose the new methods which are able to mitigate this problem more efficiently than the conventional methods. And in this paper, we show and compare the efficiencies of the new methods by some numerical examples.
- Publication
- IEICE TRANSACTIONS on Fundamentals Vol.E87-A No.3 pp.725-731
- Publication Date
- 2004/03/01
- Publicized
- Online ISSN
- DOI
- Type of Manuscript
- PAPER
- Category
- Numerical Analysis and Optimization
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Shinya MIYAJIMA, Masahide KASHIWAGI, "On Range Inclusion of Polynomials Applying Interval Arithmetic" in IEICE TRANSACTIONS on Fundamentals,
vol. E87-A, no. 3, pp. 725-731, March 2004, doi: .
Abstract: Interval arithmetic is able to be applied when we include the ranges of various functions. When we include them applying the interval arithmetic, the serious problem that the widths of the range inclusions increase extremely exists. In range inclusion of polynomials particularly, Horner's method and Alefeld's method are well known as the conventional methods which mitigates this problem. The purpose of this paper is to propose the new methods which are able to mitigate this problem more efficiently than the conventional methods. And in this paper, we show and compare the efficiencies of the new methods by some numerical examples.
URL: https://global.ieice.org/en_transactions/fundamentals/10.1587/e87-a_3_725/_p
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@ARTICLE{e87-a_3_725,
author={Shinya MIYAJIMA, Masahide KASHIWAGI, },
journal={IEICE TRANSACTIONS on Fundamentals},
title={On Range Inclusion of Polynomials Applying Interval Arithmetic},
year={2004},
volume={E87-A},
number={3},
pages={725-731},
abstract={Interval arithmetic is able to be applied when we include the ranges of various functions. When we include them applying the interval arithmetic, the serious problem that the widths of the range inclusions increase extremely exists. In range inclusion of polynomials particularly, Horner's method and Alefeld's method are well known as the conventional methods which mitigates this problem. The purpose of this paper is to propose the new methods which are able to mitigate this problem more efficiently than the conventional methods. And in this paper, we show and compare the efficiencies of the new methods by some numerical examples.},
keywords={},
doi={},
ISSN={},
month={March},}
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TY - JOUR
TI - On Range Inclusion of Polynomials Applying Interval Arithmetic
T2 - IEICE TRANSACTIONS on Fundamentals
SP - 725
EP - 731
AU - Shinya MIYAJIMA
AU - Masahide KASHIWAGI
PY - 2004
DO -
JO - IEICE TRANSACTIONS on Fundamentals
SN -
VL - E87-A
IS - 3
JA - IEICE TRANSACTIONS on Fundamentals
Y1 - March 2004
AB - Interval arithmetic is able to be applied when we include the ranges of various functions. When we include them applying the interval arithmetic, the serious problem that the widths of the range inclusions increase extremely exists. In range inclusion of polynomials particularly, Horner's method and Alefeld's method are well known as the conventional methods which mitigates this problem. The purpose of this paper is to propose the new methods which are able to mitigate this problem more efficiently than the conventional methods. And in this paper, we show and compare the efficiencies of the new methods by some numerical examples.
ER -
English
