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
DescriptionSecant method example code result.svg
English: Example of finding the root of the function represented by the red line (cos(x) − x3) using the secant method, with the increasingly accurate approximations represented by the blue straight lines.
Date
Source
Intended to replace bitmap graph en:Image:Secantmethod_jaredwf.png, with straight line equations derived from example program on article.
Created with Gnuplot using the following input file:
set terminal svg font "Bitstream Vera Sans,12"
set output "Secant_method_example_code_result.svg"
set xrange [0:1]
set yrange [-0.5:3]
set xzeroaxis linetype -1
set yzeroaxis linetype -1
set xtics axis nomirror offset 0,0.3
set ytics axis nomirror offset -0.8
set key off
set border 0
plot -1.4596976941*x + 1.0000000000 with line lt rgbcolor "blue" lw 0.3, \
-2.8976523576*x + 2.4379546634 with line lt rgbcolor "blue" lw 0.4, \
-2.4441383687*x + 2.1272643125 with line lt rgbcolor "blue" lw 0.5, \
-2.9527747549*x + 2.5552081431 with line lt rgbcolor "blue" lw 0.6, \
-3.0224715585*x + 2.6158689981 with line lt rgbcolor "blue" lw 0.7, \
-3.0081989720*x + 2.6035180968 with line lt rgbcolor "blue" lw 0.8, \
-3.0085369652*x + 2.6038106210 with line lt rgbcolor "blue" lw 0.9, \
-3.0085385603*x + 2.6038120015 with line lt rgbcolor "blue" lw 1.0, \
cos(x) - x*x*x with line linetype rgbcolor "red" linewidth 2
The series of line equations for the straight blue lines were produced by the example program in the Wikipedia:Secant method article, by adding the following lines to the start of the loop in the SecantMethod function:
The SVG was filtered with the following command to change the hyphen in a label to a proper minus sign:
sed -i 's/<text>-/<text>\xE2\x88\x92/g' Secant_method_example_code_result.svg
Licensing
Public domainPublic domainfalsefalse
This work has been released into the public domain by its author, Qef. This applies worldwide.
In some countries this may not be legally possible; if so: Qef grants 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