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 :

# 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)

Output:

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

Code #2 :

# 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)

Output:

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