Sciweavers

951 search results - page 2 / 191
» On the Computation of Correctly-Rounded Sums
Sort
View
ARITH
2001
IEEE
13 years 9 months ago
Worst Cases for Correct Rounding of the Elementary Functions in Double Precision
We give the results of our search for the worst cases for correct rounding of the major elementary functions in double precision floating-point arithmetic. These results allow the...
Vincent Lefèvre, Jean-Michel Muller
ITA
2007
13 years 5 months ago
Correct rounding of algebraic functions
We explicit the link between the computer arithmetic problem of providing correctly rounded algebraic functions and some diophantine approximation issues. This allows to get bounds...
Nicolas Brisebarre, Jean-Michel Muller
TC
1998
13 years 5 months ago
Toward Correctly Rounded Transcendentals
—The Table Maker’s Dilemma is the problem of always getting correctly rounded results when computing the elementary functions. After a brief presentation of this problem, we pr...
Vincent Lefèvre, Jean-Michel Muller, Arnaud...
CORR
2007
Springer
110views Education» more  CORR 2007»
13 years 6 months ago
Computing Integer Powers in Floating-Point Arithmetic
We introduce two algorithms for accurately evaluating powers to a positive integer in floating-point arithmetic, assuming a fused multiply-add (fma) instruction is available. We ...
Peter Kornerup, Vincent Lefèvre, Jean-Miche...
ARITH
2009
IEEE
13 years 10 months ago
A New Binary Floating-Point Division Algorithm and Its Software Implementation on the ST231 Processor
This paper deals with the design and implementation of low latency software for binary floating-point division with correct rounding to nearest. The approach we present here targe...
Claude-Pierre Jeannerod, Herve Knochel, Christophe...