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

1.6.0 新版功能.

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.