Citing HPR-QP

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

The first paper presents HPR-QP, a GPU-based dual Halpern–Peaceman–Rachford solver built on the restricted Wolfe dual with symmetric Gauss–Seidel, range-space updates, and adaptive restart.

@article{chen2025hpr,
  title={HPR-QP: A dual Halpern Peaceman-Rachford method for solving large-scale convex composite quadratic programming},
  author={Chen, Kaihuang and Sun, Defeng and Yuan, Yancheng and Zhang, Guojun and Zhao, Xinyuan},
  journal={arXiv preprint arXiv:2507.02470},
  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}
}