NumPy

This is documentation for an old release of NumPy (version 1.19). Read this page in the documentation of the latest stable release (version 2.2).

New in version 1.4.0.

Power Series (numpy.polynomial.polynomial)

This module provides a number of objects (mostly functions) useful for dealing with polynomials, including a Polynomial class that encapsulates the usual arithmetic operations. (General information on how this module represents and works with polynomial objects is in the docstring for its “parent” sub-package, numpy.polynomial).

Classes

Polynomial(coef[, domain, window])

A power series class.

Arithmetic

polyadd(c1, c2)

Add one polynomial to another.

polysub(c1, c2)

Subtract one polynomial from another.

polymulx(c)

Multiply a polynomial by x.

polymul(c1, c2)

Multiply one polynomial by another.

polydiv(c1, c2)

Divide one polynomial by another.

polypow(c, pow[, maxpower])

Raise a polynomial to a power.

polyval(x, c[, tensor])

Evaluate a polynomial at points x.

polyval2d(x, y, c)

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

polyval3d(x, y, z, c)

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

polygrid2d(x, y, c)

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

polygrid3d(x, y, z, c)

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

Calculus

polyder(c[, m, scl, axis])

Differentiate a polynomial.

polyint(c[, m, k, lbnd, scl, axis])

Integrate a polynomial.

Misc Functions

polyfromroots(roots)

Generate a monic polynomial with given roots.

polyroots(c)

Compute the roots of a polynomial.

polyvalfromroots(x, r[, tensor])

Evaluate a polynomial specified by its roots at points x.

polyvander(x, deg)

Vandermonde matrix of given degree.

polyvander2d(x, y, deg)

Pseudo-Vandermonde matrix of given degrees.

polyvander3d(x, y, z, deg)

Pseudo-Vandermonde matrix of given degrees.

polycompanion(c)

Return the companion matrix of c.

polyfit(x, y, deg[, rcond, full, w])

Least-squares fit of a polynomial to data.

polytrim(c[, tol])

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

polyline(off, scl)

Returns an array representing a linear polynomial.