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 :
# 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) |
Output:
[[ 0. 0.28867513] [ 0.57735027 -0.33333333]]
Code #2 :
# 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) |
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]]
