Python | Numpy np.legcompanion() method

Last Updated : 31 Dec, 2019

np.legcompanion() method is used to return the companion matrix of legendre series.

Syntax : np.legcompanion(c) Parameters: c :[array_like] 1-D arrays of legendre series coefficients ordered from low to high. Return : [ndarray] Companion matrix of dimensions (deg, deg).

Code #1 :

Python3

# Python program explaining
# numpy.legcompanion() 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.legcompanion() method 
res = geek.legcompanion(s) 

# Resulting Companion matrix
print (res)

Output:

[[ 0.          0.28867513]
 [ 0.57735027 -0.33333333]]

Code #2 :

Python3

# Python program explaining
# numpy.legcompanion() 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.legcompanion() method 
res = geek.legcompanion(s) 

# Resulting Companion matrix
print (res)

Output:

[[ 0.          0.57735027  0.         -0.30237158]
 [ 0.57735027  0.          0.51639778 -0.34914862]
 [ 0.          0.51639778  0.          0.10141851]
 [ 0.          0.          0.50709255 -0.45714286]]

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Python | Numpy np.legcompanion() method

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