Chebyshev Module (numpy.polynomial.chebyshev) — NumPy v1.11 Manual (original) (raw)

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

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.