On the maximum relative error when computing $x^n$ in floating-point arithmetic
Résumé
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 bound is only slightly better than the usual one, but it is simpler. We also discuss the more general problem of computing the product of n terms.
Domaines
Autre [cs.OH]| Origine | Fichiers produits par l'(les) auteur(s) |
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