Abstract
We describe the main design features of DSJM (Determine Sparse Jacobian Matrices), a software toolkit written in standard C++ that enables direct determination of sparse Jacobian matrices. Our design exploits the recently proposed unifying framework “pattern graph” and employs cache-friendly array-based sparse data structures. The DSJM implements a greedy grouping (coloring) algorithm and several ordering heuristics. In our numerical testing on a suite of large-scale test instances DSJM consistently produced better timing and partitions compared with a similar software.
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Acknowledgements
This research was supported in part by Natural Sciences and Engineering Research Council of Canada (NSERC) Discovery Grant (Individual).
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Hasan, M., Hossain, S., Khan, A.I., Mithila, N.H., Suny, A.H. (2016). DSJM: A Software Toolkit for Direct Determination of Sparse Jacobian Matrices. In: Greuel, GM., Koch, T., Paule, P., Sommese, A. (eds) Mathematical Software – ICMS 2016. ICMS 2016. Lecture Notes in Computer Science(), vol 9725. Springer, Cham. https://doi.org/10.1007/978-3-319-42432-3_34
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DOI: https://doi.org/10.1007/978-3-319-42432-3_34
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