Minimax separation of the Cauchy kernel
Numerical Analysis
2020-10-05 v2 Numerical Analysis
Abstract
We prove and apply an optimal low-rank approximation of the Cauchy kernel over separated real domains. A skeleton decomposition is the minimum over real-valued functions of the maximum relative pointwise error. We present an algorithm to optimize its parameters, demonstrate suboptimal but effective heuristic approximations, and identify numerically stable forms.
Cite
@article{arxiv.1909.06911,
title = {Minimax separation of the Cauchy kernel},
author = {Jonathan E. Moussa},
journal= {arXiv preprint arXiv:1909.06911},
year = {2020}
}
Comments
19 pages, 3 figures