Python | Numpy np.legcompanion() method

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 :

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# 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) 

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Output:



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

 

Code #2 :

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# 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) 

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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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