Citing HPR-LP

If you use HPR-LP in your research, please star the project on GitHub and cite the following papers.

The first paper presents the GPU-based HPR-LP solver with adaptive restart and penalty updates, validated on large-scale benchmarks.

@article{chen2024hpr,
  author  = {Chen, Kaihuang and Sun, Defeng and Yuan, Yancheng and Zhang, Guojun and Zhao, Xinyuan},
  title   = {HPR-LP: An implementation of an HPR method for solving linear programming},
  journal = {Mathematical Programming Computation},
  year    = {2025}
}

The second paper develops an accelerated pADMM using Halpern iteration, which enjoys a nonergodic \(O(1/k)\) convergence rate.

@article{sun2025accelerating,
  title={Accelerating preconditioned ADMM via degenerate proximal point mappings},
  author={Sun, Defeng and Yuan, Yancheng and Zhang, Guojun and Zhao, Xinyuan},
  journal={SIAM Journal on Optimization},
  volume={35},
  number={2},
  pages={1165--1193},
  year={2025},
  publisher={SIAM}
}