New in version 1.6.0.
Laguerre Series (numpy.polynomial.laguerre
)#
This module provides a number of objects (mostly functions) useful for
dealing with Laguerre series, including a Laguerre
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
).
Classes#
|
A Laguerre series class. |
Constants#
An array object represents a multidimensional, homogeneous array of fixed-size items. |
|
An array object represents a multidimensional, homogeneous array of fixed-size items. |
|
An array object represents a multidimensional, homogeneous array of fixed-size items. |
|
An array object represents a multidimensional, homogeneous array of fixed-size items. |
Arithmetic#
|
Add one Laguerre series to another. |
|
Subtract one Laguerre series from another. |
|
Multiply a Laguerre series by x. |
|
Multiply one Laguerre series by another. |
|
Divide one Laguerre series by another. |
|
Raise a Laguerre series to a power. |
|
Evaluate a Laguerre series at points x. |
|
Evaluate a 2-D Laguerre series at points (x, y). |
|
Evaluate a 3-D Laguerre series at points (x, y, z). |
|
Evaluate a 2-D Laguerre series on the Cartesian product of x and y. |
|
Evaluate a 3-D Laguerre series on the Cartesian product of x, y, and z. |
Calculus#
Misc Functions#
|
Generate a Laguerre series with given roots. |
|
Compute the roots of a Laguerre series. |
|
Pseudo-Vandermonde matrix of given degree. |
|
Pseudo-Vandermonde matrix of given degrees. |
|
Pseudo-Vandermonde matrix of given degrees. |
|
Gauss-Laguerre quadrature. |
|
Weight function of the Laguerre polynomials. |
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Return the companion matrix of c. |
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Least squares fit of Laguerre series to data. |
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Remove "small" "trailing" coefficients from a polynomial. |
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Laguerre series whose graph is a straight line. |
|
Convert a Laguerre series to a polynomial. |
|
Convert a polynomial to a Laguerre series. |