bundles / scipy 1.18.0 / scipy / special / _orthogonal / _newton

function

`scipy.special._orthogonal:_newton`

source: /scipy/special/_orthogonal.py:1218

Signature

def _newton(n, x_initial, maxit = 5)

Summary

Newton iteration for polishing the asymptotic approximation to the zeros of the Hermite polynomials.

Parameters

n : int: Quadrature order
x_initial : ndarray: Initial guesses for the roots
maxit : int: Maximal number of Newton iterations. The default 5 is sufficient, usually only one or two steps are needed.

Returns

nodes : ndarray: Quadrature nodes
weights : ndarray: Quadrature weights

See also

roots_hermite_asy

Aliases

scipy.special._orthogonal._newton