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Find all the roots (zeros) of a complex analytic function within a given contour in the complex plane.

Project description

https://travis-ci.org/rparini/cxroots.svg?branch=master

cxroots

cxroots is a Python package for finding all the roots of a function, f(z), of a single complex variable within a given contour, C, in the complex plane. It requires only that:

  • f(z) has no roots or poles on C
  • f(z) is analytic in the interior of C
from numpy import exp, cos, sin
f = lambda z: (z*(z+2))**2 * (exp(2*z)*cos(z)-1-sin(z)+z**5)

from cxroots import Circle
C = Circle(0,3)
roots = C.roots(f)
roots.show()
https://github.com/rparini/cxroots/blob/master/README_files/README_1_0.png?raw=true
print(roots)
 Multiplicity |               Root
------------------------------------------------
      2       | -2.000000000000 -0.000000000000i
      1       | -0.651114070264 -0.390425719088i
      1       | -0.651114070264 +0.390425719088i
      3       |  0.000000000000 +0.000000000000i
      1       |  0.648578080954 -1.356622683988i
      1       |  0.648578080954 +1.356622683988i
      1       |  2.237557782467 +0.000000000000i

See the documentation or GitHub page for more details and examples.

Installation

Install on the command line with

pip install cxroots

Project details


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Files for cxroots, version 1.0.6
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