Memoirs of the Faculty of Science, Kyushu University. Series A, Mathematics
Online ISSN : 1883-2172
Print ISSN : 0373-6385
ISSN-L : 0373-6385
ROUND-OFF ERRORS IN FLOATING-POINT ADDITIONS
Kumiko TSUJI
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1985 Volume 39 Issue 2 Pages 209-225

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Abstract
Models of algorithms of floating-point addition are designed for chopping, correctly rounding and augmentation rounding arithmetics with finite-length accumulators. The chopping arithmetic is shown to match with the simplest software, which calculates round-off errors. The effective length of digits of the accumulator is detected theoretically to this software.
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© 1985 by Department of Mathematics, Faculty of Science, Kyushu University
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