Conclusion and Perspectives

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 15 in Handbook of Floating-Point Arithmetic, 2010, pp 519-519 from Springer

Abstract: Abstract With the recent IEEE standard update resulting in IEEE 754-2008, computer arithmetic will soon see important changes: the fused multiply-add (FMA) instruction will probably be available on most processors, and correctly rounded functions (at least in some domains) and decimal arithmetic will be provided on most systems. Also, it should be easier to specify whether one wishes the implicit intermediate variables of an arithmetic expression to be computed and stored in the largest available format (to improve the accuracy of the calculations) or in a format clearly specified in the program (to enhance software portability and provability).

Keywords: Computational Mathematic; Current Method; Univariate Function; Important Change; Algorithm Analysis (search for similar items in EconPapers)
Date: 2010
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DOI: 10.1007/978-0-8176-4705-6_15

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