Recovering Newton map from Dynamical system

[Nathabolin]

Problem Description

While the existing function is_newton has the ability to the return the necessary conjugation to have the dynamical system in the right form. We think that It would be better to have a dedicated function that can do more than would be appropriate for a simple boolean check function such as is_newton.

Proposed Solution

the function is_newton will be deprecated so that calling return conjugation true, will return an error message.

Newton_to_poly(self, return_conjugation = false, check_newton = false)

Input: Self, a newton map, Return conjugation, will give a matrix that conjugates the original dynamic system, check_newton errors if map isnt newton, this will call is_newton

Output: Polynomial, and matrix if desired

Alternatives Considered

No function returns the a polynomial corresponding to a newton map so a function is necessary

Additional Information

No response

Is there an existing issue for this?

• I have searched the existing issues for a bug report that matches the one I want to file, without success.