Laguerre Module (numpy.polynomial.laguerre)

New in version 1.6.0.

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.

Miscellaneous

lagcompanion(c)	Return the companion matrix of c.
lagdomain
lagzero
lagone
lagx
lagtrim(c[, tol])	Remove “small” “trailing” coefficients from a polynomial.
lagline(off, scl)	Laguerre series whose graph is a straight line.
lag2poly(c)	Convert a Laguerre series to a polynomial.
poly2lag(pol)	Convert a polynomial to a Laguerre series.