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Conference Papers Year : 2013

Avoiding double roundings in scaled Newton-Raphson division

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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 falls in the subnormal range. We show how to avoid this problem.
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Dates and versions

ensl-00875366 , version 1 (21-10-2013)

Identifiers

  • HAL Id : ensl-00875366 , version 1

Cite

Jean-Michel Muller. Avoiding double roundings in scaled Newton-Raphson division. Asilomar Conference on Signals, Systems, and Computers, Nov 2013, Pacific Grove, CA, United States. 4 p. ⟨ensl-00875366⟩
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