Sparsity issues in the computation of Jacobian matrices

@inproceedings{Hossain2002SparsityII,
  title={Sparsity issues in the computation of Jacobian matrices},
  author={Shahadat Hossain and Trond Steihaug},
  booktitle={ISSAC},
  year={2002}
}
The knowledge of sparsity information plays an important role in efficient determination of sparse Jacobian matrices. In a recent work, we have proposed sparsity-exploiting substitution techniques to determine Jacobian matrices. In this paper, we take a closer look at the underlying combinatorial problem. We propose a column ordering heuristic to augment the "usable sparsity" in the Jacobian matrix. Furthermore, we present a new elimination technique based on merging of successive columns. 

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