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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
566
CHAPTER
re Function Evaluation
10.5
Rational Approximation
Any continuous elementary function can be approximated by a polynomial of
degree
L, PL(x),
or by a rational function
PM(X)
RM,N(X)
= 10.20
ON(X)
As mentioned before, in many instances rational approximations are more accu-
rate than the polynomial approximations using the same number of coefficients.
Moreover, rational functions have a higher degree of parallelism in execution. A
disadvantage is the need for a divider.
The coefficients of a rational approximation
RM,N(X)
for a function
f(x)
are determined so as to minimize the maximum relative error
[RM, N(X) -- f(x) ]
10.21 ...
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Publisher Resources

ISBN: 9781558607989