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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 8.3 The ubiquity of the scalar product in numerical analysis 257
In short: Interval arithmetic brings guarantees and mathematics into computing,
while the exact scalar product brings speed, dynamic precision, and accuracy. A com-
bination of both is what is needed from a modern computer.
8.3 The ubiquity of the scalar product in numerical
analysis
In numerical analysis the scalar or dot product is ubiquitous. It is not merely a funda-
mental operation in all the product spaces mentioned above. The process of residual or
defect correction, or of iterative refinement, is composed of scalar products. There are
well-known limitations to these proc ...
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Publisher Resources

ISBN: 9783110301731