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Erschienen in:
2014 | OriginalPaper | Buchkapitel
From Calculus to Algorithms without Errors
verfasst von : Norbert Müller, Martin Ziegler
Erschienen in: Mathematical Software – ICMS 2014
Verlag: Springer Berlin Heidelberg
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Using mathematics within computer software almost always includes the necessity to compute with real (or complex) numbers. However, implementations often just use the 64-bit double precision data type. This may lead to serious stability problems even for mathematically correct algorithms. There are many ways to reduce these software-induced stability problems, for example quadruple or multiple-precision data types, interval arithmetic, or even symbolic computation. We propagate
Exact Real Arithmetic
(ERA) as a both convenient and practically efficient framework for rigorous numerical algorithms.