Some Theory Concerning Certification of Mathematical Subroutines by Black Box Testing

Author

Robert Paul Roe, Missouri University of Science and TechnologyFollow
J. H. Rowland

Abstract

Several inequalities are derived for use in certifying function subroutines by means of black box testing. It is assumed that a function is approximated by means of a polynomial of limited degree on a closed interval. These inequalities give upper bounds on the error of the approximation over the entire interval based on the error measured over a finite sample and known properties of the function.

Recommended Citation

R. P. Roe and J. H. Rowland, "Some Theory Concerning Certification of Mathematical Subroutines by Black Box Testing," IEEE Transactions on Software Engineering, Institute of Electrical and Electronics Engineers (IEEE), Jan 1987.

The definitive version is available at https://doi.org/10.1109/TSE.1987.233205

Department(s)

Mathematics and Statistics

Keywords and Phrases

Certification; Sampling; Testing

International Standard Serial Number (ISSN)

0098-5589

Document Type

Article - Journal

Document Version

Citation

File Type

text

Language(s)

English

Rights

© 1987 Institute of Electrical and Electronics Engineers (IEEE), All rights reserved.

Publication Date

01 Jan 1987