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Scaling Newton-Raphson division iterations to avoid double rounding

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Jean-Michel Muller

Abstract

When performing divisions using Newton-Raphson (or similar) iterations on a processor with a floating-point fused multiply-add instruction, one must sometimes scale the iterations, to avoid over/underflow and/or loss of accuracy. This may lead to double-roundings, resulting in output values that may not be correctly rounded when the quotient is in the subnormal range. We show how to avoid this problem.
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Dates and versions

ensl-00496368 , version 1 (30-06-2010)

Identifiers

  • HAL Id : ensl-00496368 , version 1

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Jean-Michel Muller. Scaling Newton-Raphson division iterations to avoid double rounding. 2010. ⟨ensl-00496368⟩
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