Tight error bounds for log-determinant cones without constraint qualifications
<|reference_start|>Tight error bounds for log-determinant cones without constraint qualifications: In this paper, without requiring any constraint qualifications, we establish tight error bounds for the log-determinant cone, which is the closure of the hypograph of the perspective function of the log-determinant function. This error bound is obtained using the recently developed framework based on one-step facial residual functions.<|reference_end|>
@article{lin2024tight,
    title={Tight error bounds for log-determinant cones without constraint
  qualifications},
    author={Ying Lin, Scott B. Lindstrom, Bruno F. Lourenc{c}o, Ting Kei Pong},
    journal={arXiv preprint arXiv:2403.07295},
    year={2024},
    archivePrefix={arXiv},
    eprint={2403.07295},
    primaryClass={math.OC cs.NA math.NA}
}