Python | Numpy np.hermcompanion() method

With the help of np.hermcompanion() method, we can get the companion matrix from hermite series by using np.hermcompanion() method.

Syntax : np.hermcompanion(series)
Return : Return the companion matrix.

Example #1 :
In this example we can see that by using np.hermcompanion() method, we are able to get the companion matrix from hermite series by using this method.




# import numpy and hermcompanion
import numpy as np
from numpy.polynomial.hermite import hermcompanion
  
series = np.array([6, 7, 8, 9, 10])
# using np.hermcompanion() method
gfg = hermcompanion(series)
  
print(gfg)


Output :

[[ 0. 0.70710678 0. -0.04330127] [ 0.70710678 0. 1. -0.07144345] [ 0. 1. 0. 1.06144556] [ 0. 0. 1.22474487 -0.45 ]]

Example #2 :




# import numpy and hermcompanion
import numpy as np
from numpy.polynomial.hermite import hermcompanion
  
series = np.array([1, 2, 3, 4, 5])
# using np.hermcompanion() method
gfg = hermcompanion(series)
  
print(gfg)


Output :

[[ 0. 0.70710678 0. -0.01443376] [ 0.70710678 0. 1. -0.04082483] [ 0. 1. 0. 1.10227038] [ 0. 0. 1.22474487 -0.4 ]]

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