Interval and Twin Arithmetics

Interval and Twin Arithmetics The problem of finding inner and outer estimations of the range of values of a real function is considered. An overview of interval arithmetics being used for improvement of outer estimations is given. The twin arithmetic is introduced for simultaneous inner and outer estimations and directed twin arithmetic is proposed as generalization of the directed interval arithmetic. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Reliable Computing Springer Journals

Interval and Twin Arithmetics

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Publisher
Kluwer Academic Publishers
Copyright
Copyright © 1997 by Kluwer Academic Publishers
Subject
Mathematics; Numeric Computing; Approximations and Expansions; Computational Mathematics and Numerical Analysis; Mathematical Modeling and Industrial Mathematics
ISSN
1385-3139
eISSN
1573-1340
D.O.I.
10.1023/A:1009945403631
Publisher site
See Article on Publisher Site

Abstract

The problem of finding inner and outer estimations of the range of values of a real function is considered. An overview of interval arithmetics being used for improvement of outer estimations is given. The twin arithmetic is introduced for simultaneous inner and outer estimations and directed twin arithmetic is proposed as generalization of the directed interval arithmetic.

Journal

Reliable ComputingSpringer Journals

Published: Oct 14, 2004

References

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