A Note on Epsilon-Inflation

A Note on Epsilon-Inflation The epsilon-inflation proved to be useful and necessary in many verification algorithms. Different definitions of an epsilon-inflation are possible, depending on the context. Recently, certain theoretical justifications and optimality results were proved for an epsilon-inflation without absolute term. In this note we show that in currently used interval iterations the epsilon-inflation without absolute term does not serve the purpose it is defined for. A new epsilon-inflation is proposed. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Reliable Computing Springer Journals

A Note on Epsilon-Inflation

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Publisher
Kluwer Academic Publishers
Copyright
Copyright © 1998 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:1024419816707
Publisher site
See Article on Publisher Site

Abstract

The epsilon-inflation proved to be useful and necessary in many verification algorithms. Different definitions of an epsilon-inflation are possible, depending on the context. Recently, certain theoretical justifications and optimality results were proved for an epsilon-inflation without absolute term. In this note we show that in currently used interval iterations the epsilon-inflation without absolute term does not serve the purpose it is defined for. A new epsilon-inflation is proposed.

Journal

Reliable ComputingSpringer Journals

Published: Oct 14, 2004

References

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