Computation of Zolotarev rational functions
Numerical Analysis
2025-04-03 v2 Numerical Analysis
Abstract
An algorithm is presented to compute Zolotarev rational functions, that is, rational functions of a given degree that are as small as possible on one set relative to their size on another set (the third Zolotarev problem). Along the way we also approximate the sign function relative to and (the fourth Zolotarev problem).
Keywords
Cite
@article{arxiv.2408.14092,
title = {Computation of Zolotarev rational functions},
author = {Lloyd N. Trefethen and Heather D. Wilber},
journal= {arXiv preprint arXiv:2408.14092},
year = {2025}
}