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SVD and Signal Processing, III
book

SVD and Signal Processing, III

by M. Moonen, B. De Moor
March 1995
Intermediate to advanced content levelIntermediate to advanced
498 pages
23h 58m
English
Elsevier Science
Content preview from SVD and Signal Processing, III
112 Z. Drmag
Let t be the computed value of the tangent and let ~ = fl(t/(1 + t2)). Then the first triad
in (10) can in the floating point computation be represented by 2
a~ := (r + Z)(a~- ta~), IIEIl~ < r
The next one reads
aq := (I + F)(aq + a(I + Z)(ap - taq))
= (x + F)(~ + ,,(~ - ta~))+ ~(I + F)E(~ - t~), IIFII~ <
~,
and we easily see the forward manifestation of the wrong choice. 3 In the case of grading (
[lapl]2 > I]aqll2 ) the first triad in (11)is replaced by the modified transformation, and the
next one is skipped.
2.3 OVERALL ERROR BOUND. RELIABILITY ...
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Publisher Resources

ISBN: 9780444821072