optimization - Python: alternate to brentq and fsolve in python that finds all the zeros of the given function -


is there module find zeros of function instead of first 0 encounters beyond specified starting point?

with brentq, specify function changes sign , pick location unless did n times. similarly, fsolve, pick starting point , finds first 0 beyond point , again have n times. how find n locations in 1 calling n < infinity of course.

the function have in mind 3 zeros , below:

import numpy np import pylab scipy.optimize import brentq  mm = 7.3477e22  #  mass moon                                                         me = 5.9736e24  #  mass earth                                                        r12 = 384400.0  #  distance between earth , moon                           pi2 = mm / (me + mm)   def f(xi):     return ((1.0 - pi2) / np.absolute(xi - pi2) ** 3.0 * (xi + pi2) +             pi2 / np.absolute(xi + pi2 - 1.0) ** 3.0 * (xi + pi2 - 1.0) - xi) 


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