BibTeX
@INCOLLECTION{
Martinelli2008ToT,
title = "Tangent-on-Tangent vs. Tangent-on-Reverse for Second Differentiation of Constrained
Functionals",
doi = "10.1007/978-3-540-68942-3_14",
author = "Massimiliano Martinelli and Laurent Hasco{\"e}t",
abstract = "We compare the Tangent-on-Tangent and the Tangent-on-Reverse strategies to build
programs that compute second derivatives (a Hessian matrix) using automatic differentiation. In the
specific case of a constrained functional, we find that Tangent-on-Reverse outperforms
Tangent-on-Tangent only above a relatively high number of input parameters. We describe the
algorithms to help the end-user apply the two strategies to a given application source. We discuss
the modification needed inside the automatic differentiation tool to improve Tangent-on-Reverse
differentiation.",
crossref = "Bischof2008AiA",
pages = "151--161",
booktitle = "Advances in Automatic Differentiation",
publisher = "Springer",
editor = "Christian H. Bischof and H. Martin B{\"u}cker and Paul D. Hovland and Uwe
Naumann and J. Utke",
isbn = "978-3-540-68935-5",
issn = "1439-7358",
year = "2008",
ad_tools = "TAPENADE",
ad_theotech = "Hessian"
}
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