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