File:NewtonsMethodConvergenceFailure.svg

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

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

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Public domain I, the copyright holder of this work, release this work into the public domain. This applies worldwide.
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inception

14 March 2008

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Date/TimeThumbnailDimensionsUserComment
current05:59, 25 August 2013Thumbnail for version as of 05:59, 25 August 20131,000 × 1,000 (84 KB)IkamusumeFan1. Much clearer labels; 2. Source code added.
00:45, 15 March 2008Thumbnail for version as of 00:45, 15 March 2008500 × 300 (6 KB)Aaron Rotenberg{{Information |Description=Plot of ''x''^3 - 2''x'' + 2, including tangent lines at ''x'' = 0 and ''x'' = 1. Illustrates why Newton's method doesn't always converge for this function. |Source=self-made |Date=March 14, 2008 |Author=

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