AmitDiwan has Published 11365 Articles

Generate a Pseudo Vandermonde matrix of the Hermite polynomial in Python

AmitDiwan

AmitDiwan

Updated on 07-Mar-2022 04:55:08

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To generate a pseudo Vandermonde matrix of the Hermite polynomial, use the hermite.hermvander2d() in Python Numpy. The method returns the pseudo-Vandermonde matrix.The parameter, x, y is an array of point coordinates, all of the same shape. The dtypes will be converted to either float64 or complex128 depending on whether any ... Read More

Generate a Vandermonde matrix of the Hermite polynomial with complex array of points in Python

AmitDiwan

AmitDiwan

Updated on 07-Mar-2022 04:50:40

110 Views

To generate a Vandermonde matrix of the Hermite polynomial, use the chebyshev.hermvander() in Python Numpy. The method returns the pseudo-Vandermonde matrix. The shape of the returned matrix is x.shape + (deg + 1, ), where The last index is the degree of the corresponding Hermite polynomial. The dtype will be ... Read More

Integrate a Hermite series over axis 1 in Python

AmitDiwan

AmitDiwan

Updated on 04-Mar-2022 07:28:50

104 Views

To integrate a Hermite series, use the hermite.hermint() method in Python. The 1st parameter, c is an array of Hermite series coefficients. If c is multidimensional the different axis correspond to different variables with the degree in each axis given by the corresponding index. The 2nd parameter, m is an ... Read More

Integrate a Hermite series over specific axis in Python

AmitDiwan

AmitDiwan

Updated on 04-Mar-2022 07:26:56

95 Views

To integrate a Hermite series, use the hermite.hermint() method in Python. The 1st parameter, c is an array of Hermite series coefficients. If c is multidimensional the different axis correspond to different variables with the degree in each axis given by the corresponding index. The 2nd parameter, m is an ... Read More

Evaluate a 3-D Laguerre series on the Cartesian product of x, y and z with 4d array of coefficient in Python

AmitDiwan

AmitDiwan

Updated on 04-Mar-2022 07:23:51

89 Views

To evaluate a 3-D Laguerre series on the Cartesian product of x, y and z, use the polynomial.laguerre.laggrid3d() method in Python. The method returns the values of the three dimensional Laguerre series at points in the Cartesian product of x, y and z.If c has fewer than three dimensions, ones ... Read More

Evaluate a 3-D Laguerre series on the Cartesian product of x, y and z in Python

AmitDiwan

AmitDiwan

Updated on 04-Mar-2022 07:18:30

96 Views

To evaluate a 3-D Laguerre series on the Cartesian product of x, y and z, use the polynomial.laguerre.laggrid3d() method in Python. The method returns the values of the three dimensional Laguerre series at points in the Cartesian product of x, y and z.If c has fewer than three dimensions, ones ... Read More

Generate a Hermite series with given complex roots in Python

AmitDiwan

AmitDiwan

Updated on 04-Mar-2022 07:13:18

108 Views

To generate a Hermite series with given complex roots, use the hermite.hermfromroots() method in Python Numpy. The method returns a 1-D array of coefficients. If all roots are real then out is a real array, if some of the roots are complex, then out is complex even if all the ... Read More

Generate a Vandermonde matrix of the Laguerre polynomial with complex array of points in Python

AmitDiwan

AmitDiwan

Updated on 04-Mar-2022 07:11:21

74 Views

To generate a pseudo Vandermonde matrix of the Laguerre polynomial, use the laguerre.lagvander() in Python Numpy. The method returns the pseudo-Vandermonde matrix. The shape of the returned matrix is x.shape + (deg + 1, ), where The last index is the degree of the corresponding Laguerre polynomial. The dtype will ... Read More

Evaluate a 2-D Hermite series at points (x,y) with 3D array of coefficient in Python

AmitDiwan

AmitDiwan

Updated on 04-Mar-2022 07:09:10

76 Views

To evaluate a 2D Hermite series at points (x, y), use the hermite.hermval2d() method in Python Numpy. The method returns the values of the two dimensional polynomial at points formed with pairs of corresponding values from x and y.The 1st parameter is x, y. The two dimensional series is evaluated ... Read More

Integrate a Hermite series and set the Integration constant in Python

AmitDiwan

AmitDiwan

Updated on 04-Mar-2022 07:07:19

73 Views

To integrate a Hermite series, use the hermite.hermint() method in Python. The 1st parameter, c is an array of Hermite series coefficients. If c is multidimensional the different axis correspond to different variables with the degree in each axis given by the corresponding index. The 2nd parameter, m is an ... Read More

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