Chebyshev Module (numpy.polynomial.chebyshev)
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
Chebyshev(coef[, domain, window]) | A Chebyshev series class. |
Basics
chebval(x, c[, tensor]) | Evaluate a Chebyshev series at points x. |
chebval2d(x, y, c) | Evaluate a 2-D Chebyshev series at points (x, y). |
chebval3d(x, y, z, c) | Evaluate a 3-D Chebyshev series at points (x, y, z). |
chebgrid2d(x, y, c) | Evaluate a 2-D Chebyshev series on the Cartesian product of x and y. |
chebgrid3d(x, y, z, c) | Evaluate a 3-D Chebyshev series on the Cartesian product of x, y, and z. |
chebroots(c) | Compute the roots of a Chebyshev series. |
chebfromroots(roots) | Generate a Chebyshev series with given roots. |
Fitting
chebfit(x, y, deg[, rcond, full, w]) | Least squares fit of Chebyshev series to data. |
chebvander(x, deg) | Pseudo-Vandermonde matrix of given degree. |
chebvander2d(x, y, deg) | Pseudo-Vandermonde matrix of given degrees. |
chebvander3d(x, y, z, deg) | Pseudo-Vandermonde matrix of given degrees. |
Calculus
chebder(c[, m, scl, axis]) | Differentiate a Chebyshev series. |
chebint(c[, m, k, lbnd, scl, axis]) | Integrate a Chebyshev series. |
Algebra
chebadd(c1, c2) | Add one Chebyshev series to another. |
chebsub(c1, c2) | Subtract one Chebyshev series from another. |
chebmul(c1, c2) | Multiply one Chebyshev series by another. |
chebmulx(c) | Multiply a Chebyshev series by x. |
chebdiv(c1, c2) | Divide one Chebyshev series by another. |
chebpow(c, pow[, maxpower]) | Raise a Chebyshev series to a power. |
Quadrature
chebgauss(deg) | Gauss-Chebyshev quadrature. |
chebweight(x) | The weight function of the Chebyshev polynomials. |
Miscellaneous