BibTeX
@INCOLLECTION{
Narayanan2012IoP,
title = "Implementation of Partial Separability in a SourcetoSource Transformation {AD}
Tool",
doi = "10.1007/9783642300233_31",
author = "Sri Hari Krishna Narayanan and Boyana Norris and Paul Hovland and Assefaw
Gebremedhin",
abstract = "A significant number of large optimization problems exhibit structure known as
partial separability, for example, least squares problems, where elemental functions are gathered
into groups that are then squared. The sparsity of the Jacobian of a partially separable function
can be exploited by computing the smaller Jacobians of the elemental functions and then assembling
them into the full Jacobian. We implemented partial separability support in ADIC2 by using pragmas
to identify partially separable function values, applying source transformations to subdivide the
elemental gradient computations, and using the ColPack coloring toolkit to compress the sparse
elemental Jacobians. We present experimental results for an elasticplastic torsion optimization
problem from the MINPACK2 test suite.",
pages = "343353",
crossref = "Forth2012RAi",
booktitle = "Recent Advances in Algorithmic Differentiation",
series = "Lecture Notes in Computational Science and Engineering",
publisher = "Springer",
address = "Berlin",
volume = "87",
editor = "Shaun Forth and Paul Hovland and Eric Phipps and Jean Utke and Andrea Walther",
isbn = "9783540689355",
issn = "14397358",
year = "2012",
ad_theotech = "partial separability"
}
