1 citations · 1 across the 1 of their papers we have counts for
3 papers
math.NA2014★ 1 cited
On the maximum relative error when computing x^n in floating-point arithmetic
Stef Graillat, Vincent Lefèvre, Jean-Michel Muller
In this paper, we improve the usual relative error bound for the computation of x^n through iterated multiplications by x in binary floating-point arithmetic. The obtained error bo…
math.NA2007
Computing Integer Powers in Floating-Point Arithmetic
Peter Kornerup, Vincent Lefèvre, Jean-Michel Muller
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 sh…
cs.DS2005
The Generic Multiple-Precision Floating-Point Addition With Exact Rounding (as in the MPFR Library)
Vincent Lefèvre
We study the multiple-precision addition of two positive floating-point numbers in base 2, with exact rounding, as specified in the MPFR library, i.e. where each number has its own…