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Digital Arithmetic
book

Digital Arithmetic

by Miloš D. Ercegovac, Tomás Lang
September 2003
Intermediate to advanced content levelIntermediate to advanced
709 pages
26h 51m
English
Morgan Kaufmann
Content preview from Digital Arithmetic
378 r H ~ {a'~ E ~ 7: Iterative Approximation
1. Error in d[j]:
edT[j ] -- edT[j
--
1 ]2 _~_
edG [j ]
7.26
where
eds[j]
includes the error in the two's complement operation and the
roundoff error in the multiplication. As in the NR method, the final error
edr[m]
is positive as long as the generated error in the last iteration is not
negative. Also generated errors are reduced quadratically.
Error in
R[j]"
If the multiplications
R[i]d
are performed in full precision,
then the error is the same as that ofd[j] (including there the errors in
roundoff and two's complement). To that error it is necessary to add the
generated errors for all ...
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Publisher Resources

ISBN: 9781558607989