Python | Numpy np.lagcompanion() method

np.lagcompanion() method is used to return the companion matrix of Laguerre series.

Syntax : np.lagcompanion(c)
Parameters:
c :[array_like] 1-D arrays of Laguerre 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.lagcompanion() method 
    
# importing numpy as np  
# and numpy.polynomial.laguerre module as geek 
import numpy as np 
import numpy.polynomial.laguerre as geek
    
# Input laguerre series coefficients
  
s = (2, 4, 8
     
# using np.lagcompanion() method 
res = geek.lagcompanion(s) 
  
# Resulting Companion matrix
print (res) 

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Output:



[[ 1.  -0.5]
 [-1.   4. ]]

 

Code #2 :

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# Python program explaining
# numpy.lagcompanion() method 
    
# importing numpy as np  
# and numpy.polynomial.laguerre module as geek 
import numpy as np 
import numpy.polynomial.laguerre as geek
    
# Laguerre series coefficients
s = (1, 2, 3, 4, 5
  
    
# using np.lagcompanion() method 
res = geek.lagcompanion(s) 
  
# Resulting Companion matrix
print (res) 

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Output:

[[  1.   -1.    0.    0.8]
 [ -1.    3.   -2.    1.6]
 [  0.   -2.    5.   -0.6]
 [  0.    0.   -3.   10.2]]



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