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@@ -14,9 +14,12 @@ We adapted the sos.csp option in YALMIP to exploit chordal sparsity described in | |
* Copy corrsparsity.m and cliquesFromSpMatD.m to the folder of /modules/sos, and replace the original corrsparsity.m (cliquesFromSpMatD.m is copied from the SparseCoLO package) | ||
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## Additional references | ||
1) Zheng, Y., Fantuzzi, G. and Papachristodoulou, A. (2019). Sparse sum-of-squares (SOS) optimization: A bridge between DSOS/SDSOS and SOS optimization for sparse polynomials. In: *Proceedings of the 2019 American Control Conference*, pp. 5513-5518. [[Publisher Link](https://doi.org/10.23919/ACC.2019.8814998)] [[Open Access Link](https://arxiv.org/pdf/1807.05463.pdf)] | ||
2) Zheng, Y., Fantuzzi, G. and Papachristodoulou, A. (2018). Decomposition and completion of sum-of-squares matrices. In: *Proceedings of the 57th IEEE Conference on Decision and Control*, pp. 4026-4031. [[Publisher Link](https://doi.org/10.1109/CDC.2018.8619144)] [[Open Access Link](https://arxiv.org/pdf/1804.02711.pdf)] | ||
3) Waki, H., Kim, S., Kojima, M. and Muramatsu, M. (2006). Sums of squares and semidefinite program relaxations for polynomial optimization problems with structured sparsity. *SIAM Journal on Optimization*, **17**(1), 218-242. [[Publisher Link](https://doi.org/10.1137/050623802)] | ||
1) Zheng, Y., Fantuzzi, G. and Papachristodoulou, A. (2019). Sparse sum-of-squares (SOS) optimization: A bridge between DSOS/SDSOS and SOS optimization for sparse polynomials. In: *Proceedings of the 2019 American Control Conference*, pp. 5513-5518. | ||
[[Publisher Link](https://doi.org/10.23919/ACC.2019.8814998)] [[Open Access Link](https://arxiv.org/pdf/1807.05463.pdf)] | ||
2) Zheng, Y., Fantuzzi, G. and Papachristodoulou, A. (2018). Decomposition and completion of sum-of-squares matrices. In: *Proceedings of the 57th IEEE Conference on Decision and Control*, pp. 4026-4031. | ||
[[Publisher Link](https://doi.org/10.1109/CDC.2018.8619144)] [[Open Access Link](https://arxiv.org/pdf/1804.02711.pdf)] | ||
3) Waki, H., Kim, S., Kojima, M. and Muramatsu, M. (2006). Sums of squares and semidefinite program relaxations for polynomial optimization problems with structured sparsity. *SIAM Journal on Optimization*, **17**(1), 218-242. | ||
[[Publisher Link](https://doi.org/10.1137/050623802)] | ||
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## Troubleshooting | ||
If you have any trouble running the scripts in this repository, please email [Yang Zheng](mailto:[email protected]?Subject=SOS-csp). |
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