skzeros¶
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.