README.md

skzeros

Documentation

skzeros is a Python package for finding the all the roots of a holomorphic function in a given region of the complex plane. It is based on subdivision using the argument principle combined with AAA rational approximation of the logarithm derivative.

Installation

You can install skzeros using pip:

pip install skzeros

Example

import numpy as np
import skzeros

A = -0.19435
B = 1000.41
C = 522463
T = 0.005


def f(z):
    return z**2 + A * z + B * np.exp(-T * z) + C


def f_z(z):
    return 2 * z + A - T * B * np.exp(-T * z)


r = skzeros.Rectangle(complex(-2500, -15000), complex(10, 15000))
res = skzeros.find_zeros(r, f, f_z, max_arg_principle=7)

Reference

For a description of the algorithm please see https://arxiv.org/pdf/2509.15936. For code to reproduce all results in the paper please see the paper directory.

See Also

• cxroots
• POLZE