On Sufficient Conditions of the Injectivity: Development of a Numerical Test Algorithm via Interval Analysis

On Sufficient Conditions of the Injectivity: Development of a Numerical Test Algorithm via... This paper presents a new numerical algorithm based on interval analysis able to verify that a continuously differentiable function is injective. The efficiency of the method is demonstrated by illustrative examples. These examples have been treated by a C++ solver which is made available. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Reliable Computing Springer Journals

On Sufficient Conditions of the Injectivity: Development of a Numerical Test Algorithm via Interval Analysis

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Publisher
Springer Netherlands
Copyright
Copyright © 2007 by Springer Science + Business Media B.V.
Subject
Mathematics; Numeric Computing; Mathematical Modeling and Industrial Mathematics; Approximations and Expansions; Computational Mathematics and Numerical Analysis
ISSN
1385-3139
eISSN
1573-1340
D.O.I.
10.1007/s11155-007-9042-9
Publisher site
See Article on Publisher Site

Abstract

This paper presents a new numerical algorithm based on interval analysis able to verify that a continuously differentiable function is injective. The efficiency of the method is demonstrated by illustrative examples. These examples have been treated by a C++ solver which is made available.

Journal

Reliable ComputingSpringer Journals

Published: Sep 19, 2007

References

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