@article{aderivativefreepositionoptimization,
  title = {A Derivative-Free Position Optimization Approach for Movable Antenna Multi-User Communication Systems},
  author = {Xianlong Zeng and Jun Fang and Peilan Wang and Weidong Mei and Ying-Chang Liang},
  year = {2025},
  eprint = {2505.19012},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2505.19012v1},
}