Exact real arithmetic using centred intervals and bounded error terms

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Exact real arithmetic using centred intervals and bounded error terms

Approximations based on dyadic centred intervals are investigated as a means for implementing exact real arithmetic. It is shown that the field operations can be implemented on these approximations with optimal or near optimal results. Bounds for the loss in quality of approximations for each of the field operations are also given. These approximations can be used as a more efficient alternativ...

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ژورنال

عنوان ژورنال: The Journal of Logic and Algebraic Programming

سال: 2006

ISSN: 1567-8326

DOI: 10.1016/j.jlap.2005.07.002