On locating the zeros and poles of a meromorphic function
Numerical Analysis
2021-06-30 v2 Numerical Analysis
Abstract
On the basis of the generalized argument principle, here we develop a numerical scheme for locating zeros and poles of a meromorphic function. A subdivision-transformation-calculation scheme is proposed to ensure the algorithm stability. A novel feature of this algorithm is the ability to estimate the error level automatically. Numerical examples are also presented, with an emphasis on potential applications to plasma physics.
Keywords
Cite
@article{arxiv.2103.09047,
title = {On locating the zeros and poles of a meromorphic function},
author = {Haotian Chen},
journal= {arXiv preprint arXiv:2103.09047},
year = {2021}
}