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On the maximum relative error when computing x^n in floating-point arithmetic (1402.2991v1)
Published 11 Feb 2014 in cs.NA and math.NA
Abstract: In this paper, we improve the usual relative error bound for the computation of xn 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.