Implementation and improvements of affine arithmetic

Siegfried M. Rump; Masahide Kashiwagi

doi:10.1587/nolta.6.341

Special Section on Recent Progress in Verified Numerical Computations

Implementation and improvements of affine arithmetic

著者情報

キーワード: affine arithmetic, ordinary interval arithmetic, wrapping effect, overestimation, Min-Range approximation, Chebyshev approximation, INTLAB

ジャーナルフリー

2015 年 6 巻 3 号 p. 341-359

DOI https://doi.org/10.1587/nolta.6.341

詳細

抄録

Affine arithmetic is a well-known tool to reduce the wrapping effect of ordinary interval arithmetic. We discuss several improvements both in theory and in terms of practical implementation. In particular details of INTLAB's affine arithmetic toolbox are presented. Computational examples demonstrate advantages and weaknesses of the approach.

責任著者(Corresponding author)

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