A dividing method utilizing the best multiplication in affine arithmetic

Shinya Miyajimaa; Masahide Kashiwagi

doi:10.1587/elex.1.176

A dividing method utilizing the best multiplication in affine arithmetic

Shinya Miyajimaa, Masahide Kashiwagi

School of Fundamental Science and Engineering

Research output: Contribution to journal › Article › peer-review

14 Citations (Scopus)

Abstract

Affine arithmetic (AA) is a variant of interval arithmetic. In AA, it is difficult to realize the efficient nonlinear binomial operations. The purpose of this paper is to propose a new dividing method which consists of a reciprocal and the best multiplication. And the performances of the new method and the conventional method are compared through some numerical examples.

Original language	English
Pages (from-to)	176-181
Number of pages	6
Journal	ieice electronics express
Volume	1
Issue number	7
DOIs	https://doi.org/10.1587/elex.1.176
Publication status	Published - 2004

Keywords

affine arithmetic
division
interval arithmetic
the best multiplication

ASJC Scopus subject areas

Electronic, Optical and Magnetic Materials
Condensed Matter Physics
Electrical and Electronic Engineering

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10.1587/elex.1.176

Cite this

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A dividing method utilizing the best multiplication in affine arithmetic

Abstract

Keywords

ASJC Scopus subject areas

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