File:NewtonsMethodConvergenceFailure.svg

From Department of Mathematics at UTSA
Jump to navigation Jump to search

Original file(SVG file, nominally 1,000 × 1,000 pixels, file size: 84 KB)

This file is from Wikimedia Commons and may be used by other projects. The description on its file description page there is shown below.

Summary

Description Plot of x^3 - 2x + 2, including tangent lines at x = 0 and x = 1. Illustrates why Newton's method doesn't always converge for this function.
Date
Source Self-made, created using FooPlot and modified in Inkscape.
Author Aaron Rotenberg

Gnuplot

# Author: Ika, 24 Aug 2013

set terminal svg size 1000 1000 fixed enhanced fname 'Times'  fsize 36
set output "Newton_Method_SVG.svg"

set samples 2000

set autoscale fix
set xrange [-3:4]
set yrange [-3:4]

set grid
set xtics -3,1,4
set ytics -3,1,4
set xzeroaxis linewidth 2.5
set yzeroaxis linewidth 2.5

set nokey

unset border
set multiplot
plot x lw 2 lc rgb "red"
plot -2*x+2 lw 2 lc rgb "blue"
plot x*x*x-2*x+2 lw 2 lc rgb "black"
unset multiplot

Licensing

Public domain I, the copyright holder of this work, release this work into the public domain. This applies worldwide.
In some countries this may not be legally possible; if so:
I grant anyone the right to use this work for any purpose, without any conditions, unless such conditions are required by law.

Captions

Add a one-line explanation of what this file represents

Items portrayed in this file

depicts

14 March 2008

image/svg+xml

File history

Click on a date/time to view the file as it appeared at that time.

Date/TimeThumbnailDimensionsUserComment
current23:59, 24 August 2013Thumbnail for version as of 23:59, 24 August 20131,000 × 1,000 (84 KB)IkamusumeFan1. Much clearer labels; 2. Source code added.

The following page uses this file:

Metadata