Python | Numpy np.legroots() method

np.legroots() method is used to compute the roots of a legendre series.Return the roots of the polynomial.

Syntax : np.legroots(c)
Parameters:
c :[array_like] 1-D arrays of legendre series coefficients.

Return : [ndarray] Array of the roots of the series. If all the roots are real, then out is also real, otherwise it is complex.

Code #1 :

# Python program explaining
# numpy.legroots() method

# importing numpy as np
# and numpy.polynomial.legendre module as geek
import numpy as np
import numpy.polynomial.legendre as geek

# Input legendre series coefficients

s = (2, 4, 8)

# using np.legroots() method
res = geek.legroots(s)

# Resulting legendre series coefficient
print (res)

Output:

[-0.60762522  0.27429189]

Code #2 :

# Python program explaining
# numpy.legroot() method

# importing numpy as np
# and numpy.polynomial.legendre module as geek
import numpy as np
import numpy.polynomial.legendre as geek

# legendre series coefficients
s = (1, 2, 3, 4, 5)


# using np.legroots() method
res = geek.legroots(s)

# Resulting legendre series
print (res)

Output:

[-0.86884116 -0.48972874  0.21530729  0.68611975]