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
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.
Item Type | Book Section |
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Date Deposited | 15 May 2025 16:30 |
Last Modified | 06 Jun 2025 23:11 |
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