Python | Numpy np.hermvander3d() method (original) (raw)

Last Updated : 29 Dec, 2019

With the help of **np.hermvander3d()** method, we can get the 3-D pseudo vandermonde matrix from hermite series of given degree by using np.hermvander3d() method.

Syntax : np.hermvander3d(x, y, z, deg)
Return : Return the 3-D pseudo vandermonde matrix of given degree.

Example #1 :
In this example we can see that by using np.hermvander3d() method, we are able to get the 3-D pseudo vandermonde matrix of hermite series by using this method.

import numpy as np

from numpy.polynomial.hermite import hermvander3d

x = np.array([ 1 , 2 ])

y = np.array([ - 1 , - 2 ])

z = np.array([ 1 , - 2 ])

x_deg, y_deg, z_deg = 2 , 2 , 2

gfg = hermvander3d(x, y, z, [x_deg, y_deg, z_deg])

print (gfg)

Output :

[[ 1.000e+00 2.000e+00 2.000e+00 -2.000e+00 -4.000e+00 -4.000e+00
2.000e+00 4.000e+00 4.000e+00 2.000e+00 4.000e+00 4.000e+00
-4.000e+00 -8.000e+00 -8.000e+00 4.000e+00 8.000e+00 8.000e+00
2.000e+00 4.000e+00 4.000e+00 -4.000e+00 -8.000e+00 -8.000e+00
4.000e+00 8.000e+00 8.000e+00]
[ 1.000e+00 -4.000e+00 1.400e+01 -4.000e+00 1.600e+01 -5.600e+01
1.400e+01 -5.600e+01 1.960e+02 4.000e+00 -1.600e+01 5.600e+01
-1.600e+01 6.400e+01 -2.240e+02 5.600e+01 -2.240e+02 7.840e+02
1.400e+01 -5.600e+01 1.960e+02 -5.600e+01 2.240e+02 -7.840e+02
1.960e+02 -7.840e+02 2.744e+03]]

Example #2 :

import numpy as np

from numpy.polynomial.hermite import hermvander3d

x = np.array([ 0.5 , 0.10 , 0.10 , 0.5 ])

y = np.array([ 1 , 2 , 3 , 5 ])

z = np.array([ 10.1 , 20.2 , 30.3 , - 50 ])

x_deg, y_deg, z_deg = 1 , 1 , 1

gfg = hermvander3d(x, y, z, [x_deg, y_deg, z_deg])

print (gfg)

Output :

[[ 1.000e+00 2.020e+01 2.000e+00 4.040e+01 1.000e+00 2.020e+01
2.000e+00 4.040e+01]
[ 1.000e+00 4.040e+01 4.000e+00 1.616e+02 2.000e-01 8.080e+00
8.000e-01 3.232e+01]
[ 1.000e+00 6.060e+01 6.000e+00 3.636e+02 2.000e-01 1.212e+01
1.200e+00 7.272e+01]
[ 1.000e+00 -1.000e+02 1.000e+01 -1.000e+03 1.000e+00 -1.000e+02
1.000e+01 -1.000e+03]]

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