Implementation and improvements of affine arithmetic

Siegfried M. Rump, Masahide Kashiwagi · Nonlinear Theory and Its Applications IEICE · 2015

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.

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