Hermite Module, “Physicists’” (numpy.polynomial.hermite)

New in version 1.6.0.

This module provides a number of objects (mostly functions) useful for dealing with Hermite series, including a Hermite 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).

Hermite Class

Hermite(coef[, domain, window])

An Hermite series class.

Basics

hermval(x, c[, tensor])

Evaluate an Hermite series at points x.

hermval2d(x, y, c)

Evaluate a 2-D Hermite series at points (x, y).

hermval3d(x, y, z, c)

Evaluate a 3-D Hermite series at points (x, y, z).

hermgrid2d(x, y, c)

Evaluate a 2-D Hermite series on the Cartesian product of x and y.

hermgrid3d(x, y, z, c)

Evaluate a 3-D Hermite series on the Cartesian product of x, y, and z.

hermroots(c)

Compute the roots of a Hermite series.

hermfromroots(roots)

Generate a Hermite series with given roots.

Fitting

hermfit(x, y, deg[, rcond, full, w])

Least squares fit of Hermite series to data.

hermvander(x, deg)

Pseudo-Vandermonde matrix of given degree.

hermvander2d(x, y, deg)

Pseudo-Vandermonde matrix of given degrees.

hermvander3d(x, y, z, deg)

Pseudo-Vandermonde matrix of given degrees.

Calculus

hermder(c[, m, scl, axis])

Differentiate a Hermite series.

hermint(c[, m, k, lbnd, scl, axis])

Integrate a Hermite series.

Algebra

hermadd(c1, c2)

Add one Hermite series to another.

hermsub(c1, c2)

Subtract one Hermite series from another.

hermmul(c1, c2)

Multiply one Hermite series by another.

hermmulx(c)

Multiply a Hermite series by x.

hermdiv(c1, c2)

Divide one Hermite series by another.

hermpow(c, pow[, maxpower])

Raise a Hermite series to a power.

Quadrature

hermgauss(deg)

Gauss-Hermite quadrature.

hermweight(x)

Weight function of the Hermite polynomials.

Miscellaneous

hermcompanion(c)

Return the scaled companion matrix of c.

hermdomain

hermzero

hermone

hermx

hermtrim(c[, tol])

Remove “small” “trailing” coefficients from a polynomial.

hermline(off, scl)

Hermite series whose graph is a straight line.

herm2poly(c)

Convert a Hermite series to a polynomial.

poly2herm(pol)

Convert a polynomial to a Hermite series.
numpy.polynomial.laguerre.poly2lag numpy.polynomial.hermite.Hermite