Computation of Zolotarev rational functions
<|reference_start|>Computation of Zolotarev rational functions: An algorithm is presented to compute Zolotarev rational functions, that is, rational functions $r_n^*$ of a given degree that are as small as possible on one set $E\subseteq\complex\cup\{\infty\}$ relative to their size on another set $F\subseteq\complex\cup\{\infty\}$ (the third Zolotarev problem). Along the way we also approximate the sign function relative to $E$ and $F$ (the fourth Zolotarev problem).<|reference_end|>
@article{trefethen2024computation,
    title={Computation of Zolotarev rational functions},
    author={Lloyd N. Trefethen and Heather D. Wilber},
    journal={arXiv preprint arXiv:2408.14092},
    year={2024},
    archivePrefix={arXiv},
    eprint={2408.14092},
    primaryClass={math.NA cs.NA}
}