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Efficient Jacobian Determination by Structure-Revealing Automatic Differentiation

Xin Xiong

出版	University of Waterloo, 2014
URL	http://books.google.com.hk/books?id=dbqkoAEACAAJ&hl=&source=gbs_api

註釋

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.