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  • About
  • The Global ETD Search service is a free service for researchers to find electronic theses and dissertations. This service is provided by the Networked Digital Library of Theses and Dissertations.
    Our metadata is collected from universities around the world. If you manage a university/consortium/country archive and want to be added, details can be found on the NDLTD website.

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1

Efficient Jacobian Determination by Structure-Revealing Automatic Differentiation

Xiong, Xin January 2014 (has links)
This thesis is concerned with the efficient computation of Jacobian matrices of nonlinear vector maps using automatic differentiation (AD). Specifically, we propose the use of two directed edge separator methods, the weighted minimum separator and natural order separator methods, to exploit the structure of the computational graph of the nonlinear system.This allows for the efficient determination of the Jacobian matrix using AD software. We will illustrate the promise of this approach with computational experiments.
Automatic differentiation
Forward mode
Reverse mode
Directed acyclic graph
Computational graph
Directed edge separator
Jacobian matrix
Newton step
Minimum cutset
Ford-Fulkerson algorithm
Sparsity technique
Hidden structure

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