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_newton(n, x_initial, maxit=5)

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

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

See Also

roots_hermite_asy

Examples

See :

Local connectivity graph

Hover to see nodes names; edges to Self not shown, Caped at 50 nodes.

Using a canvas is more power efficient and can get hundred of nodes ; but does not allow hyperlinks; , arrows or text (beyond on hover)

SVG is more flexible but power hungry; and does not scale well to 50 + nodes.

All aboves nodes referred to, (or are referred from) current nodes; Edges from Self to other have been omitted (or all nodes would be connected to the central node "self" which is not useful). Nodes are colored by the library they belong to, and scaled with the number of references pointing them


GitHub : /scipy/special/_orthogonal.py#1141
type: <class 'function'>
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