README.md

Method of Alternating Projections

Unofficial implementation of "Method of alternating projections for the general absolute value equation". Please refer to the paper:

Alcantara, J. H., Chen, J. S., & Tam, M. K. (2023). Method of alternating projections for the general absolute value equation. Journal of Fixed Point Theory and Applications, 25(1), 39.

@article{Alcantara23MAP,
  author={Alcantara, Jan Harold and Chen, Jein-Shan and Tam, Matthew K},
  title={Method of alternating projections for the general absolute value equation},
  journal={Journal of Fixed Point Theory and Applications},
  volume={25},
  number={1},
  pages={39},
  year={2023},
}

⚙️ Setup

Install Python.

pip install numpy scipy

📚 Example Usage

python main.py

This main funciton reads an AVE (absolute value equation) problem and solves it by MAP (methods of alternating projections).

Ground truth solution:
 [ 0.79232154 -0.71950182  0.10807229 -0.78284852  0.34448019 -0.43753243
  0.31884527  0.45398923  0.53729498 -0.78451811]

iterations: 45
error: 0.00000

MAP solution:
 [ 0.79232121 -0.7195018   0.10807212 -0.78284837  0.34448028 -0.43753253
  0.31884508  0.45398945  0.53729485 -0.78451809]