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Title: The efficient computation of sparse Jacobian matrices using automaticdifferentiation
Authors: Coleman, Thomas F.
Verma, Arun
Keywords: computer science
technical report
Issue Date: Nov-1995
Publisher: Cornell University
Abstract: This paper is concerned with the efficient computation of sparse Jacobian matrices of nonlinear vector maps using automatic differentiation (AD). Specifically, we propose the use of a graph coloring technique, bi-coloring, to exploit the sparsity of the Jacobian matrix $J$ and thereby allow for the efficient determination of $J$ using AD software. We analyze both a direct scheme and a substitution process. We discuss the results of numerical experiments indicating significant practical potential of this approach.
Appears in Collections:Computer Science Technical Reports

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