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Erschienen in:
2001 | OriginalPaper | Buchkapitel
Guaranteed Computation with Floating-point Numbers
verfasst von : Luc Jaulin, PhD, Michel Kieffer, PhD, Olivier Didrit, PhD, Éric Walter, PhD
Erschienen in: Applied Interval Analysis
Verlag: Springer London
Enthalten in: Professional Book Archive
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One of the main features of interval analysis is its ability to provide boxes guaranteed to contain the image of a given box by a function. This containment property has to be preserved by computer implementation. The intervals computed using a finite-precision representation of real numbers should therefore always contain those that would be obtained with an infinite precision. A trade-off should moreover be found between execution time and accuracy of interval evaluation.