polynomial_root_bound

polynomial_root_bound, a Python code which computes the Cauchy bound on the magnitude of all roots of a polynomial with complex coefficients.

Licensing:

The computer code and data files made available on this web page are distributed under the MIT license.

Languages:

polynomial_root_bound is available in a MATLAB version and an Octave version and a Python version.

Related Data and Programs:

Reference:

1. John D Cook,
   Bounding complex roots by a positive root,
   https://www.johndcook.com/blog/2023/12/02/cauchy-radius/
   02 December 2023.

Source Code:

• polynomial_root_bound.py the source code.
• polynomial_root_bound.sh runs all the tests.
• polynomial_root_bound.txt the output file.

• polynomial1_test.png shows the roots and the bounding circle.
• polynomial2_test.png shows the roots and the bounding circle.