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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
260 Chapter 8 Scalar products and complete arithmetic
Nowadays computer applications are of immense variety. Any discussion of where
a dot product computed in quadruple or extended precision arithmetic can be used
to substitute for the exact scalar product is superfluous. Since the former can fail to
produce a correct answer, an error analysis is needed for all applications. This can be
left to the computer. As the scalar product can always be executed exactly with mod-
erate technical effort, it should indeed always be executed exactly. An error analysis
thus becomes irrelevant. Furthermore, the same result is always obtained on different
computer pla ...
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Publisher Resources

ISBN: 9783110301731