Newton fractal
id:
newton-fractal-274-4600357
title:
Newton fractal
text:
The Newton fractal is a boundary set in the complex plane which is characterized by Newton's method applied to a fixed polynomial p(z) ∈ C [z] or transcendental function. It is the Julia set of the meromorphic function z ↦ z − p(z)/p′(z) which is given by Newton's method. When there are no attractive cycles, it divides the complex plane into regions Gk, each of which is associated with a root ζk of the polynomial, k = 1, …, deg(p). In this way the Newton fractal is similar to the Mandelbrot set,
brand slug:
wiki
category slug:
encyclopedia
description:
Boundary set in the complex plane
original url:
https://en.wikipedia.org/wiki/Newton_fractal
date created:
date modified:
2024-03-14T13:59:30Z
main entity:
{"identifier":"Q1151001","url":"https://www.wikidata.org/entity/Q1151001"}
image:
{"content_url":"https://upload.wikimedia.org/wikipedia/commons/d/db/Julia_set_for_the_rational_function.png","width":2000,"height":1500}
fields total:
13
integrity:
15