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.
https://hal-ens-lyon.archives-ouvertes.fr/ensl-00875366
Contributor : Jean-Michel Muller
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Submitted on : Monday, October 21, 2013 - 7:46:13 PM
Last modification on : Wednesday, November 20, 2019 - 3:10:31 AM
Long-term archiving on: Friday, April 7, 2017 - 2:30:55 PM
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⟩
