This is documentation for an old release of NumPy (version 1.18). Read this page in the documentation of the latest stable release (version 2.2).
Hermite Module, “Physicists’” (numpy.polynomial.hermite
)¶
New in version 1.6.0.
This module provides a number of objects (mostly functions) useful for
dealing with Hermite series, including a Hermite
class that
encapsulates the usual arithmetic operations. (General information
on how this module represents and works with such polynomials is in the
docstring for its “parent” sub-package, numpy.polynomial
).
Basics¶
|
Evaluate an Hermite series at points x. |
|
Evaluate a 2-D Hermite series at points (x, y). |
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Evaluate a 3-D Hermite series at points (x, y, z). |
|
Evaluate a 2-D Hermite series on the Cartesian product of x and y. |
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Evaluate a 3-D Hermite series on the Cartesian product of x, y, and z. |
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Compute the roots of a Hermite series. |
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Generate a Hermite series with given roots. |
Fitting¶
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Least squares fit of Hermite series to data. |
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Pseudo-Vandermonde matrix of given degree. |
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Pseudo-Vandermonde matrix of given degrees. |
|
Pseudo-Vandermonde matrix of given degrees. |
Calculus¶
|
Differentiate a Hermite series. |
|
Integrate a Hermite series. |
Algebra¶
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Add one Hermite series to another. |
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Subtract one Hermite series from another. |
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Multiply one Hermite series by another. |
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Multiply a Hermite series by x. |
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Divide one Hermite series by another. |
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Raise a Hermite series to a power. |
Quadrature¶
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Gauss-Hermite quadrature. |
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Weight function of the Hermite polynomials. |
Miscellaneous¶
Return the scaled companion matrix of c. |
|
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Remove “small” “trailing” coefficients from a polynomial. |
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Hermite series whose graph is a straight line. |
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Convert a Hermite series to a polynomial. |
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Convert a polynomial to a Hermite series. |