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| Keywords: Secant method example code result.svg en Example of finding the root of the function represented by the red line cos x ˆ’ x<sup>3</sup> using the secant method with the increasingly accurate approximations represented by the blue straight lines Intended to replace bitmap graph en Image Secantmethod_jaredwf png with straight line equations derived from example program on article Qef 2008-07-04 Original bitmap version http //en wikipedia org/wiki/Image Secantmethod_jaredwf png Source code Created with Gnuplot using the following input file <pre> 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 </pre> 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 <pre> double g f xn - f xn_1 / xn - xn_1 ; printf 10f x + 10f\n g f xn - g xn ; </pre> The SVG was filtered with the following command to change the hyphen in a label to a proper minus sign <pre>sed -i 's/<text>-/<text>\xE2\x88\x92/g' Secant_method_example_code_result svg</pre> Qef Numerical analysis Images with Gnuplot source code | ||||
