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Journal Articles BIT Numerical Mathematics Year : 2013

Some issues related to double roundings

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Abstract

Double rounding is a phenomenon that may occur when different floating- point precisions are available on the same system. Although double rounding is, in general, innocuous, it may change the behavior of some useful small floating-point algorithms. We analyze the potential influence of double rounding on the Fast2Sum and 2Sum algorithms, on some summation algorithms, and Veltkamp's splitting.
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Dates and versions

ensl-00644408 , version 1 (24-11-2011)
ensl-00644408 , version 2 (02-12-2011)
ensl-00644408 , version 3 (08-07-2013)

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Cite

Érik Martin-Dorel, Guillaume Melquiond, Jean-Michel Muller. Some issues related to double roundings. BIT Numerical Mathematics, 2013, 53 (4), pp.897-924. ⟨10.1007/s10543-013-0436-2⟩. ⟨ensl-00644408v3⟩
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