Database System Concepts
Database System Concepts
7th Edition
ISBN: 9780078022159
Author: Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Publisher: McGraw-Hill Education
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Find the relative error in computing f(x) where
x = 1002 and fl(x) = 1001. Show the relative
error is roughly smaller than the condition number
times the relative error in x, assuming no round-
off error in the computation. (The same examples
will show up below and are totally different when
round-off error exists. But for this problem, the
two questions have same answer. )
1
(a) f(x)
1
1
(b) f (x)
x +1
x(x + 1)
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Transcribed Image Text:Find the relative error in computing f(x) where x = 1002 and fl(x) = 1001. Show the relative error is roughly smaller than the condition number times the relative error in x, assuming no round- off error in the computation. (The same examples will show up below and are totally different when round-off error exists. But for this problem, the two questions have same answer. ) 1 (a) f(x) 1 1 (b) f (x) x +1 x(x + 1)
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