Mathematical Function Software on the Web—Are Such Codes Useful for Verification Algorithms?

Mathematical Function Software on the Web—Are Such Codes Useful for Verification Algorithms? We give an overview on existing software implementations of special mathematical functions (erf(x), erfe(x), Γ(x), Bessel-Functions,...) which can be found on the web. We discuss the quality of the numerical results and their usability in an interval setting. We also point out whether it is an easy or difficult task to find reliable routines with approved (relative or absolute) error bounds. We will show which additional steps have to be performed to get worst-case error bounds for such routines. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Reliable Computing Springer Journals

Mathematical Function Software on the Web—Are Such Codes Useful for Verification Algorithms?

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Publisher
Kluwer Academic Publishers
Copyright
Copyright © 2000 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:1009973407908
Publisher site
See Article on Publisher Site

Abstract

We give an overview on existing software implementations of special mathematical functions (erf(x), erfe(x), Γ(x), Bessel-Functions,...) which can be found on the web. We discuss the quality of the numerical results and their usability in an interval setting. We also point out whether it is an easy or difficult task to find reliable routines with approved (relative or absolute) error bounds. We will show which additional steps have to be performed to get worst-case error bounds for such routines.

Journal

Reliable ComputingSpringer Journals

Published: Oct 7, 2004

References

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