A Leibniz notation for automatic differentiation

Christianson, B. (2012) A Leibniz notation for automatic differentiation. In: Recent Advances in Algorithmic Differentiation :. Lecture Notes in Computational Science and Engineering . Springer Nature, pp. 1-9. ISBN 978-3-642-30022-6
Copy

Notwithstanding the superiority of the Leibniz notation for differential calculus, the dot-and-bar notation predominantly used by the Automatic Differentiation community is resolutely Newtonian. In this paper we extend the Leibnitz notation to include the reverse (or adjoint) mode of Automatic Differentiation, and use it to demonstrate the stepwise numerical equivalence of the three approaches using the reverse mode to obtain second order derivatives, namely forward-over-reverse, reverse-over-forward, and reverse-over-reverse.

visibility_off picture_as_pdf

picture_as_pdf
B_Christianson_1.pdf
subject
Submitted Version
lock
Restricted to Repository staff only

Request Copy
picture_as_pdf

Submitted Version


Atom BibTeX OpenURL ContextObject in Span OpenURL ContextObject Dublin Core MPEG-21 DIDL Data Cite XML EndNote HTML Citation METS MODS RIOXX2 XML Reference Manager Refer ASCII Citation
Export

Downloads