Definitions and Basic Notions

Jean-Michel Muller, Nicolas Brunie, Florent de Dinechin, Claude-Pierre Jeannerod, Mioara Joldes, Vincent Lefèvre, Guillaume Melquiond, Nathalie Revol and Serge Torres
Additional contact information
Jean-Michel Muller: CNRS - LIP
Nicolas Brunie: Kalray
Florent de Dinechin: INSA-Lyon - CITI
Claude-Pierre Jeannerod: Inria - LIP
Mioara Joldes: CNRS - LAAS
Vincent Lefèvre: Inria - LIP
Guillaume Melquiond: Inria - LRI
Nathalie Revol: Inria - LIP
Serge Torres: ENS-Lyon - LIP

Chapter Chapter 2 in Handbook of Floating-Point Arithmetic, 2018, pp 15-45 from Springer

Abstract: Abstract As stated in the introduction, roughly speaking, a radix-β floating-point number x is a number of the form m ⋅ β e , $$\displaystyle{m \cdot \beta ^{e},}$$ where β is the radix radix of the floating-point system, m such that | m |

Keywords: Significand; Floating-point System; Correct Rounding; Relative Representation Error; Consecutive floating-point Numbers (search for similar items in EconPapers)
Date: 2018
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DOI: 10.1007/978-3-319-76526-6_2

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