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.

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# 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)

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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 :

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# 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)

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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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