polynomial_root_bound

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

Licensing:

The information on this web page is distributed under the MIT license.

Languages:

polynomial_root_bound is available in a C version and a C++ version and a Fortran90 version and a MATLAB version and an Octave version and a Python version.

Related Data and Programs:

polynomial_root_bound_test

polynomial_resultant, an Octave code which computes the resultant R of univariate polynomials P and Q.

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.m the source code.