Evaluation of Functions, Gradients, and Jacobians

Evaluation of Functions, Gradients, and Jacobians Ramon E. Moore originated two fertile fields of computational mathematics, interval analysis and automatic differentiation. The first is concerned with the rigorous validation of approximately computed results, and the second with evaluation of derivatives from the computational process without derivation of formulas for them. Jointly and separately, these fields have grown into vast areas of research into theory and applications. In this paper, some simple topics are selected from each subject for illustration. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Reliable Computing Springer Journals

Evaluation of Functions, Gradients, and Jacobians

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Publisher
Kluwer Academic Publishers
Copyright
Copyright © 2003 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:1023098519693
Publisher site
See Article on Publisher Site

Abstract

Ramon E. Moore originated two fertile fields of computational mathematics, interval analysis and automatic differentiation. The first is concerned with the rigorous validation of approximately computed results, and the second with evaluation of derivatives from the computational process without derivation of formulas for them. Jointly and separately, these fields have grown into vast areas of research into theory and applications. In this paper, some simple topics are selected from each subject for illustration.

Journal

Reliable ComputingSpringer Journals

Published: Oct 17, 2004

References

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