Basic Properties and Algorithms

Jean-Michel Muller (), Nicolas Brisebarre (), Florent de Dinechin (), Claude-Pierre Jeannerod (), Vincent Lefèvre (), Guillaume Melquiond (), Nathalie Revol (), Damien Stehlé () and Serge Torres ()
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Jean-Michel Muller: École Normale Supérieure de Lyon, CNRS, Laboratoire LIP
Nicolas Brisebarre: École Normale Supérieure de Lyon, CNRS, Laboratoire LIP
Florent de Dinechin: École Normale Supérieure de Lyon, ENSL, Laboratoire LIP
Claude-Pierre Jeannerod: École Normale Supérieure de Lyon, INRIA, Laboratoire LIP
Vincent Lefèvre: École Normale Supérieure de Lyon, INRIA, Laboratoire LIP
Guillaume Melquiond: Parc Orsay Université, INRIA Saclay – Île-de- France
Nathalie Revol: École Normale Supérieure de Lyon, INRIA, Laboratoire LIP
Damien Stehlé: Macquarie University, and University of Sydney School of Mathematics and Statistics University of Sydney, CNRS
Serge Torres: École Normale Supérieure de Lyon, ENSL, Laboratoire LIP

Chapter Chapter 4 in Handbook of Floating-Point Arithmetic, 2010, pp 119-150 from Springer

Abstract: Abstract In this chapter, we present some short yet useful algorithms and some basic properties that can be derived from specifications of floating-point arithmetic systems, 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 partially1 predictable (see Chapter 7) for more details on this). We therefore can build algorithms and proofs that use these specifications.

Keywords: Basic Property; Complex Number; Arithmetic Operation; Naive Algorithm; Complex Division (search for similar items in EconPapers)
Date: 2010
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DOI: 10.1007/978-0-8176-4705-6_4

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