File:Secant method example code result.svg
Original file (SVG file, nominally 600 × 480 pixels, file size: 19 KB)
Captions
Summary[edit]
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. |
Author | Qef |
Other versions | Original bitmap version: http://en.wikipedia.org/wiki/Image:Secantmethod_jaredwf.png |
Source code[edit]
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:
double g = (f(xn) - f(xn_1)) / (xn - xn_1); printf("%.10f*x + %.10f\n", g, f(xn) - (g * xn));
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[edit]
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: |
File history
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Date/Time | Thumbnail | Dimensions | User | Comment | |
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current | 17:00, 4 July 2008 | 600 × 480 (19 KB) | Qef (talk | contribs) | Gradients of blue lines were wrong (calculated with x/y instead of y/x) | |
13:39, 4 July 2008 | 600 × 480 (19 KB) | Qef (talk | contribs) | Replace hyphen character in label with proper minus sign. | ||
13:20, 4 July 2008 | 600 × 480 (19 KB) | Qef (talk | contribs) | {{Information |Description={{en|1=Example of finding the root of the function represented by the red line (cos(x) - x^3) using the secant method, with the increasingly accurate approximations represented by the blue straight lines.}} |Source=Intended to r |
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Image title | Produced by GNUPLOT 4.2 patchlevel 2 |
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