Laguerre Module (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).
Laguerre Class
| Laguerre(coef[, domain, window]) |
A Laguerre series class. |
Basics
| lagval(x, c[, tensor]) |
Evaluate a Laguerre series at points x. |
| lagval2d(x, y, c) |
Evaluate a 2-D Laguerre series at points (x, y). |
| lagval3d(x, y, z, c) |
Evaluate a 3-D Laguerre series at points (x, y, z). |
| laggrid2d(x, y, c) |
Evaluate a 2-D Laguerre series on the Cartesian product of x and y. |
| laggrid3d(x, y, z, c) |
Evaluate a 3-D Laguerre series on the Cartesian product of x, y, and z. |
| lagroots(c) |
Compute the roots of a Laguerre series. |
| lagfromroots(roots) |
Generate a Laguerre series with given roots. |
Fitting
| lagfit(x, y, deg[, rcond, full, w]) |
Least squares fit of Laguerre series to data. |
| lagvander(x, deg) |
Pseudo-Vandermonde matrix of given degree. |
| lagvander2d(x, y, deg) |
Pseudo-Vandermonde matrix of given degrees. |
| lagvander3d(x, y, z, deg) |
Pseudo-Vandermonde matrix of given degrees. |
Calculus
| lagder(c[, m, scl, axis]) |
Differentiate a Laguerre series. |
| lagint(c[, m, k, lbnd, scl, axis]) |
Integrate a Laguerre series. |
Algebra
| lagadd(c1, c2) |
Add one Laguerre series to another. |
| lagsub(c1, c2) |
Subtract one Laguerre series from another. |
| lagmul(c1, c2) |
Multiply one Laguerre series by another. |
| lagmulx(c) |
Multiply a Laguerre series by x. |
| lagdiv(c1, c2) |
Divide one Laguerre series by another. |
| lagpow(c, pow[, maxpower]) |
Raise a Laguerre series to a power. |
Quadrature
| laggauss(deg) |
Gauss-Laguerre quadrature. |
| lagweight(x) |
Weight function of the Laguerre polynomials. |