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Titlebook: Handbook of Floating-Point Arithmetic; Jean-Michel Muller,Nicolas Brisebarre,Serge Torres Book 20101st edition Birkh�user Boston 2010 Algo

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https://doi.org/10.1007/978-3-658-40592-2crude as approximations of the real numbers. This may occur for example when dealing with ill-conditioned numerical problems: internal computations with very high precision may be needed to obtain a meaningful final result.
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https://doi.org/10.1007/978-3-658-38348-0emory consumption, size of code, etc.). With regard to performance, one will also resort to different methods depending on whether one wishes to optimize average performance or worst-case performance.
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Evaluating Floating-Point Elementary Functionsemory consumption, size of code, etc.). With regard to performance, one will also resort to different methods depending on whether one wishes to optimize average performance or worst-case performance.
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https://doi.org/10.1007/978-3-322-97241-5. is the significand of ., and . is its .. And yet, portability, accuracy, and the ability to prove interesting and useful properties as well as to design smart algorithms require more rigorous definitions, and much care in the specifications. This is the first purpose of this chapter. The second on
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https://doi.org/10.1007/978-3-658-45581-1s the rather messy situation of floating-point arithmetic before the 1980s. Anybody who estimates that the current standards are too constraining and that circuit and system manufacturers could build much more efficient machines without them should read that paper and think about it. Even if there w
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Konzeption Empirische Literaturwissenschaft, such as the ones given in the various successive IEEE standards. Thanks to these standards, we now have an accurate definition of floating-point formats and operations. The behavior of a sequence of operations becomes at least partially. predictable (see Chapter 7) for more details on this). We th
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