Presentation 1997/6/23
Implementation of Elementary Functions for Interval Arithmetic
Shinji HIROSE, Masahide KASHIWAGI,
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Abstract(in Japanese) (See Japanese page)
Abstract(in English) Nemerical methods wih guaranteed accuracy are the numerical methods such that results and their error estimation are calculated simultaneously. Most of the methods are based on interval arithmetic. The purpose of this report is to implement elementary function for it. On the four basic operations of arithmetic, we can implement interval arithmetic correctly by controling the direction rounding of result. But for elementary functions, we can't implement in the same way. We show the method of making interval and some attention for programing with flooting point numeber system conforming to IEEE/754.
Keyword(in Japanese) (See Japanese page)
Keyword(in English) Interval arithmetic / Numerical Methods with Guaranteed Accuracy / Elementary Function
Paper # NLP97-41
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Conference Information
Committee NLP
Conference Date 1997/6/23(1days)
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Paper Information
Registration To Nonlinear Problems (NLP)
Language JPN
Title (in Japanese) (See Japanese page)
Sub Title (in Japanese) (See Japanese page)
Title (in English) Implementation of Elementary Functions for Interval Arithmetic
Sub Title (in English)
Keyword(1) Interval arithmetic
Keyword(2) Numerical Methods with Guaranteed Accuracy
Keyword(3) Elementary Function
1st Author's Name Shinji HIROSE
1st Author's Affiliation Graduate School of Information Science and Electrical Engineering, Kyushu University()
2nd Author's Name Masahide KASHIWAGI
2nd Author's Affiliation Graduate School of Information Science and Electrical Engineering, Kyushu University
Date 1997/6/23
Paper # NLP97-41
Volume (vol) vol.97
Number (no) 126
Page pp.pp.-
#Pages 8
Date of Issue