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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 3.6 Un ique ness of the minus operator 79
by the monotone downwardly directed rounding
5
alone. Apart from 4,noother
monotone rounding has this property.
This implies that on a computer, in principle, every monotone rounding can be per-
formed if either the monotone downwardly or upwardly directed rounding
5
or 4 is
available. Since non-monotone roundings are of little interest, this points out the poly-
tone role of the monotone directed roundings
5
and 4 for all rounded computations.
Beyond this result, the monotone directed roundings
5
and 4 are needed for all
interval computations as we shall see in Chapter 4. Interval arithmetic is a fundamen- ...
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Publisher Resources

ISBN: 9783110301731