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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
88 Chapter 4 Interval arithmetic
But 1 or C1 are not real numbers. So they cannot be elements but
only bounds of a real interval. We show that explicit formulas for the op-
erations for unbounded intervals of
IR can be obtained from those for
bounded intervals of IR by continuity considerations. The result is an al-
gebraically closed calculus that is free of exceptions with the only irreg-
ularity that division by an interval that contains zero as an interior point
leads to two closed but unbounded intervals. But this case also can easily
be handled by computers.
4.1 Interval sets and arithmetic
Let fR, g be an ordered set and PR the power set of
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Publisher Resources

ISBN: 9783110301731