Chebyshev Module (numpy.polynomial.chebyshev)
New in version 1.4.0.
This module provides a number of objects (mostly functions) useful for dealing with Chebyshev series, including a Chebyshev
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
).
Chebyshev Class
| A Chebyshev series class. |
Basics
| Evaluate a Chebyshev series at points x. |
| Evaluate a 2-D Chebyshev series at points (x, y). |
| Evaluate a 3-D Chebyshev series at points (x, y, z). |
| Evaluate a 2-D Chebyshev series on the Cartesian product of x and y. |
| Evaluate a 3-D Chebyshev series on the Cartesian product of x, y, and z. |
| Compute the roots of a Chebyshev series. |
| Generate a Chebyshev series with given roots. |
Fitting
| Least squares fit of Chebyshev series to data. |
| Pseudo-Vandermonde matrix of given degree. |
| Pseudo-Vandermonde matrix of given degrees. |
| Pseudo-Vandermonde matrix of given degrees. |
Calculus
| Differentiate a Chebyshev series. |
| Integrate a Chebyshev series. |
Algebra
| Add one Chebyshev series to another. |
| Subtract one Chebyshev series from another. |
| Multiply one Chebyshev series by another. |
| Multiply a Chebyshev series by x. |
| Divide one Chebyshev series by another. |
| Raise a Chebyshev series to a power. |
Quadrature
| Gauss-Chebyshev quadrature. |
| The weight function of the Chebyshev polynomials. |
Miscellaneous
Return the scaled companion matrix of c. | |
| Remove “small” “trailing” coefficients from a polynomial. |
| Chebyshev series whose graph is a straight line. |
| Convert a Chebyshev series to a polynomial. |
| Convert a polynomial to a Chebyshev series. |
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Licensed under the 3-clause BSD License.
https://numpy.org/doc/1.18/reference/routines.polynomials.chebyshev.html