Springer (part of Springer Nature), BIT Numerical Mathematics, 4(53), p. 897-924
DOI: 10.1007/s10543-013-0436-2
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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.