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.
numpy.polynomial.legendre.poly2leg numpy.polynomial.laguerre.Laguerre