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Computer Arithmetic and Validity
book

Computer Arithmetic and Validity

by Ulrich Kulisch
April 2013
Intermediate to advanced content levelIntermediate to advanced
456 pages
16h 7m
English
De Gruyter
Content preview from Computer Arithmetic and Validity
Section 9.2 Differentiation arithmetic, enclosures of derivatives 321
x
f.x/
Figure 9.4. Global optimization.
for the global minimum can be computed faster than an approximation delivered by
conventional techniques whose quality is still uncertain.
These methods, of course, can also be used for a fast and highly accurate computa-
tion of the range of values of a function in a given domain.
9.2 Differentiation arithmetic, enclosures of derivatives
For many applications in scientific computing the value of the derivative of a function
is needed. The interval Newton method requires the computation of an enclosure of
the first derivative of the function ove ...
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Publisher Resources

ISBN: 9783110301731